Fractional Calculus: New Applications in Understanding Nonlinear Phenomena

Mathematical Analysis of a Rumor Spreading Model within the Frame of Fractional Derivative

Author(s): Chandrali Baishya, Sindhu J. Achar and P. Veeresha * .

Pp: 186-209 (24)

DOI: 10.2174/9789815051933122030011

* (Excluding Mailing and Handling)

Abstract

Rumor spreading is a trivial social practice, which has a long history of affecting society both in a positive and negative way, and modelling of transmission of rumors has been an attractive area for social and, of late, for physical scientists. In this chapter, we have modified the rumor-spreading model by incorporating fractional derivatives in the Caputo sense. To analyze the spread of rumors in social as well as virtual networks, we have considered four populations, namely, ignorant, spreader, recaller, and stifler. The existence and uniqueness, and boundedness of the solutions of the present model have been exhibited theoretically. Numerically, we have experimented with the effect of fractional derivatives and the density of one population on the other population by demonstrating the impact of rumor spread with the change of various parameters.

Related Books
© 2025 Bentham Science Publishers | Privacy Policy
Request history8.2.27PHP Version204msRequest Duration26MBMemory UsageGET chapter/{id}/{param?}Route
  • warninglog[15:15:31] LOG.warning: Optional parameter $id declared before required parameter $request is implic...
  • Booting (110ms)time
  • Application (94.17ms)time
  • 1 x Booting (53.83%)
    110ms
    1 x Application (46.17%)
    94.17ms
    12 templates were rendered
    • ebook.chapter_detailschapter_details.blade.php#?blade
    • layouts.chapter_header_sectionchapter_header_section.blade.php#?blade
    • ebook.chapter_top_bannerchapter_top_banner.blade.php#?blade
    • ebook.chapter_bottom_bannerchapter_bottom_banner.blade.php#?blade
    • ebook.ebook_right_bannerebook_right_banner.blade.php#?blade
    • includes.inc_related_journalsinc_related_journals.blade.php#?blade
    • includes.inc_related_ebooksinc_related_ebooks.blade.php#?blade
    • layouts.appapp.blade.php#?blade
    • layouts._login_access_login_access.blade.php#?blade
    • layouts._header_header.blade.php#?blade
    • layouts._main_menu_main_menu.blade.php#?blade
    • layouts._footer_menu_footer_menu.blade.php#?blade
    uri
    GET chapter/{id}/{param?}
    middleware
    web, check_user_access
    controller
    App\Http\Controllers\ChapterController@GetChapterDetails
    namespace
    App\Http\Controllers
    where
    as
    chapter
    file
    app/Http/Controllers/ChapterController.php:1350-1704
    18 statements were executed30.35ms
    • Connection Establishedalphaeurekaselec_live_10_06_2022UserAccessCheck.php#24
      Backtrace
      • 9. middleware::check_user_access:24
      • 10. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
      • 11. vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • 12. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
      • 13. vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:88
    • INSERT INTO visitor_ip_address (ip_address,visitor_agent,visitor_count, created_on,updated_on) VALUES ('59422581','',1,1740496531,1740496531) ON DUPLICATE KEY UPDATE visitor_count=visitor_count + 1, updated_on=1740496531
      1.95msalphaeurekaselec_live_10_06_2022UserAccessCheck.php#24
      Backtrace
      • 11. middleware::check_user_access:24
      • 12. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • 14. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
      • 15. vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:88
    • INSERT INTO visitor_ip_address_detail (ip_address,visitor_url,visitor_count, created_on,updated_on) VALUES ('59422581','/chapter/18381',1,1740496531,1740496531)
      230μsalphaeurekaselec_live_10_06_2022UserAccessCheck.php#27
      Backtrace
      • 11. middleware::check_user_access:27
      • 12. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • 14. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
      • 15. vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:88
    • (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_journal_volume_trail WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_journal_volume_corporate WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_journal_volume_token WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_ebook_volume_trail WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_ebook_volume_corporate WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_ebook_volume_token WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_issue_trail WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_issue_corporate WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_issue_token WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_article_trail WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_article_corporate WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_article_token WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_chapter_trail WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_chapter_corporate WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_chapter_token WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) union (select `user_id`, `to_ip`, `from_ip` from (select user_id, to_ip, from_ip FROM user_access_disease_corporate WHERE to_ip >= 59422581 ORDER BY to_ip ASC LIMIT 1) as `tjv` where `from_ip` <= 59422581) limit 1
      18.24msalphaeurekaselec_live_10_06_2022UserAccess.php#784
      Bindings
      • 0: 59422581
      • 1: 59422581
      • 2: 59422581
      • 3: 59422581
      • 4: 59422581
      • 5: 59422581
      • 6: 59422581
      • 7: 59422581
      • 8: 59422581
      • 9: 59422581
      • 10: 59422581
      • 11: 59422581
      • 12: 59422581
      • 13: 59422581
      • 14: 59422581
      • 15: 59422581
      Backtrace
      • 14. app/Models/UserAccess/UserAccess.php:784
      • 15. middleware::check_user_access:114
      • 16. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
      • 18. vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:183
    • select * from `chapter` where `chapter_id` = '18381' limit 1
      370μsalphaeurekaselec_live_10_06_2022ChapterController.php#1406
      Bindings
      • 0: 18381
      Backtrace
      • 16. app/Http/Controllers/ChapterController.php:1406
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
    • select CONCAT_WS(' ',au.first_name, ' ', ifnull(au.initials,''), ' ', au.last_name) as authors, CONCAT(au.last_name, IFNULL(CONCAT(' ', au.initials), ''), ' ', au.first_name) AS authorsRIS, CONCAT_WS(' ',au.last_name, ' ', ifnull(au.initials,''), ' ', au.first_name) as authorsCiteAs, CONCAT_WS(' ',au.first_name, IFNULL(CONCAT(' ', au.initials), ''), IFNULL(CONCAT(' ', au.last_name), '')) as authorsmodal , `au`.*, `af`.`ror_id`, `af`.`institution`, `af`.`department`, `af`.`country`, `af`.`city`, `af`.`address`, (GROUP_CONCAT(TRIM(BOTH ', ' FROM CONCAT(ifnull(concat(af.institution,','),''), ifnull(concat(af.department,','),''), ifnull(concat(af.address,','),''), ifnull(concat(af.city,','),''), ifnull(concat(af.country,','),''), ifnull(concat(af.postal_code,','),''), ifnull(concat(af.phone,','),''), ifnull(concat(af.fax,','),''))) SEPARATOR '|')) as `author_affiliation`, (GROUP_CONCAT(TRIM(BOTH ', ' FROM CONCAT(ifnull(concat(af.web_view,','),''))) SEPARATOR '|')) as `web_view` from `author` as `au` left join `author_affiliation` as `af` on `au`.`author_id` = `af`.`author_id` where `au`.`chapter_id` = '18381' group by `au`.`author_id` order by `au`.`article_id` asc, `au`.`sequence` asc
      1.97msalphaeurekaselec_live_10_06_2022Author.php#86
      Bindings
      • 0: 18381
      Backtrace
      • 13. app/Models/Author.php:86
      • 14. app/Http/Controllers/ChapterController.php:1411
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select * from `keywords` where `chapter_id` = '18381'
      270μsalphaeurekaselec_live_10_06_2022ChapterController.php#1415
      Bindings
      • 0: 18381
      Backtrace
      • 15. app/Http/Controllers/ChapterController.php:1415
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
    • select * from `ebook` where `ebook_id` = 1083 limit 1
      300μsalphaeurekaselec_live_10_06_2022ChapterController.php#1430
      Bindings
      • 0: 1083
      Backtrace
      • 16. app/Http/Controllers/ChapterController.php:1430
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
    • select count(*) as aggregate from `subject_ebook` as `se` inner join `ebook` as `e` on `e`.`ebook_id` = `se`.`ebook_id` inner join `ebook_volume` as `v` on `v`.`ebook_id` = `e`.`ebook_id` where subject_id IN (select subject_id FROM subject_ebook WHERE ebook_id=1083) and se.ebook_id!=1083 and v.ebook_status='1'
      920μsalphaeurekaselec_live_10_06_2022Subject.php#238
      Backtrace
      • 16. app/Models/Subject.php:238
      • 17. app/Http/Controllers/ChapterController.php:1434
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 19. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select distinct v.nid as volume_id,e.nid,e.title,v.issn,v.eissn,v.isbn,v.eisbn,e.ebook_id, v.image_file_name,v.file_path,v.flyer_link,v.ebook_volume_id, v.volume_name,v.doi,v.year_id,v.introduction from `subject_ebook` as `se` inner join `ebook` as `e` on `e`.`ebook_id` = `se`.`ebook_id` inner join `ebook_volume` as `v` on `v`.`ebook_id` = `e`.`ebook_id` where subject_id IN (select subject_id FROM subject_ebook WHERE ebook_id=1083) and se.ebook_id!=1083 and v.ebook_status='1' limit 10 offset 0
      750μsalphaeurekaselec_live_10_06_2022Subject.php#238
      Backtrace
      • 14. app/Models/Subject.php:238
      • 15. app/Http/Controllers/ChapterController.php:1434
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select count(*) as aggregate from `subject_journal` as `sj` inner join `journal` as `j` on `j`.`journal_id` = `sj`.`journal_id` where subject_id IN (select subject_id FROM subject_ebook WHERE ebook_id=1083)
      310μsalphaeurekaselec_live_10_06_2022Subject.php#255
      Backtrace
      • 16. app/Models/Subject.php:255
      • 17. app/Http/Controllers/ChapterController.php:1435
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 19. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select `e`.*, `a`.*, `y`.`year`, `e`.`ebook_volume_id` as `ebook_volume_id`, `a`.`ebook_volume_id` as `ebk_vol_id`, `e`.`ebook_id` as `ebk_ebook_id` from `ebook_volume` as `e` left join `author` as `a` on `e`.`ebook_volume_id` = `a`.`ebook_volume_id` left join `year` as `y` on `y`.`id` = `e`.`year_id` where `e`.`ebook_volume_id` = 3442 and `e`.`is_uploaded` = 1
      520μsalphaeurekaselec_live_10_06_2022EbookVolume.php#271
      Bindings
      • 0: 3442
      • 1: 1
      Backtrace
      • 13. app/Models/EbookVolume.php:271
      • 14. app/Http/Controllers/ChapterController.php:1438
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select count(*) rcd from `ebook_volume` where `ebook_id` = 1083 and ebook_volume_id <> 3442 limit 1
      320μsalphaeurekaselec_live_10_06_2022EbookVolume.php#999
      Bindings
      • 0: 1083
      Backtrace
      • 14. app/Models/EbookVolume.php:999
      • 15. app/Http/Controllers/ChapterController.php:1462
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select count(*) as total_count, content_type_access_id as access_type from ebook_access where content_type_id = '18381' and content_type = 'c' and ( (from_date <= CURDATE() and to_date >= CURDATE() and perpetual= 0) or (from_date is null and to_date is null and perpetual= 1) )
      320μsalphaeurekaselec_live_10_06_2022ContentAccess.php#647
      Backtrace
      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ChapterController.php:1465
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select count(*) as total_count, content_type_access_id as access_type from ebook_access where content_type_id = '3442' and content_type = 'v' and ( (from_date <= CURDATE() and to_date >= CURDATE() and perpetual= 0) or (from_date is null and to_date is null and perpetual= 1) )
      350μsalphaeurekaselec_live_10_06_2022ContentAccess.php#647
      Backtrace
      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ChapterController.php:1478
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Trial Access" as access_base_text, CASE j.type WHEN 111 THEN true ELSE false END as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"ebook_volume" as access_level,"" as chapter_id from `user_access_ebook_volume_trail` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59422581 and j.to_ip >=59422581 )) and ((j.from_date <= 1740496531 and j.to_date >= 1740496531 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.volume_id = 3442) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Subscribed" as access_base_text, false as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"ebook_volume" as access_level,"" as chapter_id from `user_access_ebook_volume_corporate` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59422581 and j.to_ip >=59422581 )) and ((j.from_date <= 1740496531 and j.to_date >= 1740496531 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.volume_id = 3442) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Token Based Access" as access_base_text, false as terms_popup, "R" as content_download_type, j.uc_id as restricted_user_access_key, "v" as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"ebook_volume" as access_level,"" as chapter_id from `user_access_ebook_volume_token` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59422581 and j.to_ip >=59422581 )) and ((j.from_date <= 1740496531 and j.to_date >= 1740496531 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.volume_id = 3442)
      670μsalphaeurekaselec_live_10_06_2022UserAccess.php#1266
      Backtrace
      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ChapterController.php:1518
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Trial Access" as access_base_text, CASE j.type WHEN 111 THEN true ELSE false END as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_trail` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59422581 and j.to_ip >=59422581 )) and ((j.from_date <= 1740496531 and j.to_date >= 1740496531 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 18381) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Subscribed" as access_base_text, false as terms_popup, "S" as content_download_type, null as restricted_user_access_key, null as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_corporate` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59422581 and j.to_ip >=59422581 )) and ((j.from_date <= 1740496531 and j.to_date >= 1740496531 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 18381) union (select j.user_access_id,j.volume_id,j.user_id,j.from_ip,j.to_ip,j.type,j.track,"Token Based Access" as access_base_text, false as terms_popup, "R" as content_download_type, j.uc_id as restricted_user_access_key, "v" as restricted_user_access_type, CASE j.track WHEN 0 THEN false ELSE true END as tracksAccessByVolume,"chapter" as access_level, j.chapter_id from `user_access_chapter_token` as `j` inner join `user_access_info` as `info` on `j`.`user_access_id` = `info`.`user_access_id` where ((j.from_ip <= 59422581 and j.to_ip >=59422581 )) and ((j.from_date <= 1740496531 and j.to_date >= 1740496531 and j.perpetual= 0) or (j.from_date is null and j.to_date is null and j.perpetual= 1)) and j.chapter_id = 18381)
      1.12msalphaeurekaselec_live_10_06_2022UserAccess.php#1266
      Backtrace
      • 13. app/Models/UserAccess/UserAccess.php:1266
      • 14. app/Http/Controllers/ChapterController.php:1549
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select b.banner_link, b.banner_name, b.banner_script, b.banner_remarks, b.banner_file_name, b.banner_placement, bd.content_type, bd.content_id from `tbl_banner` as `b` inner join `tbl_banner_detail` as `bd` on `bd`.`banner_id` = `b`.`banner_id` inner join `users` as `u` on `u`.`id` = `b`.`updated_by` where `b`.`banner_ebook` = 1 and `bd`.`content_type` = 'B' and `bd`.`content_id` = 3442 and `b`.`banner_from_date` <= 1740496531 and `b`.`banner_to_date` >= 1740496531 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.44msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: B
      • 2: 3442
      • 3: 1740496531
      • 4: 1740496531
      • 5: A
      Backtrace
      • 13. app/Models/Banner.php:95
      • 14. app/Http/helpers.php:404
      • 17. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 18. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    • select count(*) as aggregate from `uc_cart_products` where cart_id='a6a1e8f613a9201f08346cb948c51ef9'
      300μsalphaeurekaselec_live_10_06_2022Cart.php#271
      Backtrace
      • 15. app/Models/Cart.php:271
      • 16. view::layouts._header:260
      • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    App\Models\Chapter
    1Chapter.php#?
    App\Models\Ebook
    1Ebook.php#?
        _token
        ThFeCJgNXaVWkUXA1DzszNiPgjF1dxDd0fz5InX1
        uc_cart_id
        a6a1e8f613a9201f08346cb948c51ef9
        _previous
        array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/18381" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /chapter/18381
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:17 [ "x-https" => array:1 [ 0 => "1" ] "host" => array:1 [ 0 => "alpha.eurekaselect.com" ] "priority" => array:1 [ 0 => "u=0, i" ] "cookie" => array:1 [ 0 => "wayfindertarget=eyJpdiI6IkszSWt4Z2JPZ1pIcE9tWUpITHBKREE9PSIsInZhbHVlIjoiTzVBRlpUYWlCaFZmUmJkUFo0R0g2TVVhUkRRdnFJeTFyY2FUUTEwdGozcz0iLCJtYWMiOiI4MDUzNjA5ZDA2M2UzNzQ4YzEwNjI2N2Y3ZjgxMDkzZmQyNjhmNWM2Mzk1YjI1ZGNjMjUxYTk0NzQ4Y2U0NGEwIiwidGFnIjoiIn0%3Dwayfindertarget=eyJpdiI6IkszSWt4Z2JPZ1pIcE9tWUpITHBKREE9PSIsInZhbHVlIjoiTzVBRlpUYWlCaFZmUmJkUFo0R0g2TVVhUkRRdnFJeTFyY2FUUTEwdGozcz0iLCJtYWMiOiI4MDUzNjA5ZDA2M2Uz" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] ]
        request_cookies
        0 of 0
        array:1 [ "wayfindertarget" => null ]
        response_headers
        0 of 0
        array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Tue, 25 Feb 2025 15:15:31 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Im5KSVlzUU94c0ZxeE5sODFsbVY0Mmc9PSIsInZhbHVlIjoiZDFJd2lpTTdhdEYwa2V3MTZNOVIxeUpOSVdjZGFzUWRxMXFMTFc0YmxQQmFPZURJYXJXS282a2R1T2lkTGRER2ZpSmxQeHI2cENFbkRPYjJybEhIb3NuRm5UM29aM081ekVmYjNqb0V5bnhSVjR0YnFpTDVQYmRYdWZ4YlVITkEiLCJtYWMiOiI1ZDA5YmQ5MjVkODFjNTJlZTljMzQxMjRhOTgyYWRkMzVkZThlNzNjNjc0NzcwZmZkNDFhMDNlNDY2MWI0YmU2IiwidGFnIjoiIn0%3D; expires=Fri, 28 Feb 2025 03:15:31 GMT; Max-Age=216000; path=/; secure; samesite=laxXSRF-TOKEN=eyJpdiI6Im5KSVlzUU94c0ZxeE5sODFsbVY0Mmc9PSIsInZhbHVlIjoiZDFJd2lpTTdhdEYwa2V3MTZNOVIxeUpOSVdjZGFzUWRxMXFMTFc0YmxQQmFPZURJYXJXS282a2R1T2lkTGRER2ZpSmxQe" 1 => "alphaeurekaselectnet_session=eyJpdiI6InE5WFMrQXpGVTh0bkpTc2R2dk4xVFE9PSIsInZhbHVlIjoiWGRHQ0hQVVRsZlp0eHdZdW5iaHhUVExMc09sODVieVVmTkRhRnYxcG1OTzhWdW5PVURyMisvaUJJTXo5ZHhMREFhWDhnYjRVREZHc2ZGME5ZYWhDZlIxZEFjd1FMUXZQRkxIK3kwMXh2RXVGeDFVVzRZcFNyaThSakoxbmFjT3YiLCJtYWMiOiI4MzdjMWE2NDIyNTNjZjg1ZDQ0NjY1ODY4NmFiMTEyYmZjN2I0ZTBkNDBkNDg2ZDgyMWIyNDZhNjIyMGMwNzc0IiwidGFnIjoiIn0%3D; path=/; secure; httponly; samesite=laxalphaeurekaselectnet_session=eyJpdiI6InE5WFMrQXpGVTh0bkpTc2R2dk4xVFE9PSIsInZhbHVlIjoiWGRHQ0hQVVRsZlp0eHdZdW5iaHhUVExMc09sODVieVVmTkRhRnYxcG1OTzhWdW5PVURyMisvaUJ" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6Im5KSVlzUU94c0ZxeE5sODFsbVY0Mmc9PSIsInZhbHVlIjoiZDFJd2lpTTdhdEYwa2V3MTZNOVIxeUpOSVdjZGFzUWRxMXFMTFc0YmxQQmFPZURJYXJXS282a2R1T2lkTGRER2ZpSmxQeHI2cENFbkRPYjJybEhIb3NuRm5UM29aM081ekVmYjNqb0V5bnhSVjR0YnFpTDVQYmRYdWZ4YlVITkEiLCJtYWMiOiI1ZDA5YmQ5MjVkODFjNTJlZTljMzQxMjRhOTgyYWRkMzVkZThlNzNjNjc0NzcwZmZkNDFhMDNlNDY2MWI0YmU2IiwidGFnIjoiIn0%3D; expires=Fri, 28-Feb-2025 03:15:31 GMT; path=/; secureXSRF-TOKEN=eyJpdiI6Im5KSVlzUU94c0ZxeE5sODFsbVY0Mmc9PSIsInZhbHVlIjoiZDFJd2lpTTdhdEYwa2V3MTZNOVIxeUpOSVdjZGFzUWRxMXFMTFc0YmxQQmFPZURJYXJXS282a2R1T2lkTGRER2ZpSmxQe" 1 => "alphaeurekaselectnet_session=eyJpdiI6InE5WFMrQXpGVTh0bkpTc2R2dk4xVFE9PSIsInZhbHVlIjoiWGRHQ0hQVVRsZlp0eHdZdW5iaHhUVExMc09sODVieVVmTkRhRnYxcG1OTzhWdW5PVURyMisvaUJJTXo5ZHhMREFhWDhnYjRVREZHc2ZGME5ZYWhDZlIxZEFjd1FMUXZQRkxIK3kwMXh2RXVGeDFVVzRZcFNyaThSakoxbmFjT3YiLCJtYWMiOiI4MzdjMWE2NDIyNTNjZjg1ZDQ0NjY1ODY4NmFiMTEyYmZjN2I0ZTBkNDBkNDg2ZDgyMWIyNDZhNjIyMGMwNzc0IiwidGFnIjoiIn0%3D; path=/; secure; httponlyalphaeurekaselectnet_session=eyJpdiI6InE5WFMrQXpGVTh0bkpTc2R2dk4xVFE9PSIsInZhbHVlIjoiWGRHQ0hQVVRsZlp0eHdZdW5iaHhUVExMc09sODVieVVmTkRhRnYxcG1OTzhWdW5PVURyMisvaUJ" ] ]
        session_attributes
        0 of 0
        array:5 [ "_token" => "ThFeCJgNXaVWkUXA1DzszNiPgjF1dxDd0fz5InX1" "uc_cart_id" => "a6a1e8f613a9201f08346cb948c51ef9" "_previous" => array:1 [ "url" => "https://alpha.eurekaselect.com/chapter/18381" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]
        ClearShow all
        Date ↕MethodURLData
        #12025-02-25 15:15:31GET/chapter/18381112182