Mathematical analysis of a fractional resource-consumer model with disease developed in consumer

Mathematical analysis of a fractional resource-consumer model with disease developed in consumer

Abstract The research presents a qualitative investigation of a fractional-order consumer-resource system with the hunting cooperation interaction functional and an infection developed in the resources population. The existence of the equilibria is discussed where there are many scenarios that have...

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Autores principales: Abdelheq Mezouaghi, Abdelkader Benali, Sunil Kumar, Salih Djilali, Anwar Zeb, Shahram Rezapour
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2021
Materias:
Fractional calculus
Hunting cooperation
Predator infection
Resource-consumer model
Mathematics
QA1-939
Acceso en línea:https://doaj.org/article/1705d1874c774695b6636f122a309b12
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spelling oai:doaj.org-article:1705d1874c774695b6636f122a309b122021-11-07T12:13:24ZMathematical analysis of a fractional resource-consumer model with disease developed in consumer10.1186/s13662-021-03642-z1687-1847https://doaj.org/article/1705d1874c774695b6636f122a309b122021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03642-zhttps://doaj.org/toc/1687-1847Abstract The research presents a qualitative investigation of a fractional-order consumer-resource system with the hunting cooperation interaction functional and an infection developed in the resources population. The existence of the equilibria is discussed where there are many scenarios that have been distinguished as the extinction of both populations, the extinction of the infection, the persistence of the infection, and the two populations. The influence of the hunting cooperation interaction functional is also investigated where it can influence the existence of equilibria and their stability. A proper numerical scheme is used for building a proper graphical representation for the goal of confirming the theoretical results.Abdelheq MezouaghiAbdelkader BenaliSunil KumarSalih DjilaliAnwar ZebShahram RezapourSpringerOpenarticleFractional calculusHunting cooperationPredator infectionResource-consumer modelMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-17 (2021)
institution DOAJ
collection DOAJ
language EN
topic Fractional calculus
Hunting cooperation
Predator infection
Resource-consumer model
Mathematics
QA1-939
spellingShingle Fractional calculus
Hunting cooperation
Predator infection
Resource-consumer model
Mathematics
QA1-939
Abdelheq Mezouaghi
Abdelkader Benali
Sunil Kumar
Salih Djilali
Anwar Zeb
Shahram Rezapour
Mathematical analysis of a fractional resource-consumer model with disease developed in consumer
description Abstract The research presents a qualitative investigation of a fractional-order consumer-resource system with the hunting cooperation interaction functional and an infection developed in the resources population. The existence of the equilibria is discussed where there are many scenarios that have been distinguished as the extinction of both populations, the extinction of the infection, the persistence of the infection, and the two populations. The influence of the hunting cooperation interaction functional is also investigated where it can influence the existence of equilibria and their stability. A proper numerical scheme is used for building a proper graphical representation for the goal of confirming the theoretical results.
format article
author Abdelheq Mezouaghi
Abdelkader Benali
Sunil Kumar
Salih Djilali
Anwar Zeb
Shahram Rezapour
author_facet Abdelheq Mezouaghi
Abdelkader Benali
Sunil Kumar
Salih Djilali
Anwar Zeb
Shahram Rezapour
author_sort Abdelheq Mezouaghi
title Mathematical analysis of a fractional resource-consumer model with disease developed in consumer
title_short Mathematical analysis of a fractional resource-consumer model with disease developed in consumer
title_full Mathematical analysis of a fractional resource-consumer model with disease developed in consumer
title_fullStr Mathematical analysis of a fractional resource-consumer model with disease developed in consumer
title_full_unstemmed Mathematical analysis of a fractional resource-consumer model with disease developed in consumer
title_sort mathematical analysis of a fractional resource-consumer model with disease developed in consumer
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/1705d1874c774695b6636f122a309b12
work_keys_str_mv AT abdelheqmezouaghi mathematicalanalysisofafractionalresourceconsumermodelwithdiseasedevelopedinconsumer
AT abdelkaderbenali mathematicalanalysisofafractionalresourceconsumermodelwithdiseasedevelopedinconsumer
AT sunilkumar mathematicalanalysisofafractionalresourceconsumermodelwithdiseasedevelopedinconsumer
AT salihdjilali mathematicalanalysisofafractionalresourceconsumermodelwithdiseasedevelopedinconsumer
AT anwarzeb mathematicalanalysisofafractionalresourceconsumermodelwithdiseasedevelopedinconsumer
AT shahramrezapour mathematicalanalysisofafractionalresourceconsumermodelwithdiseasedevelopedinconsumer
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