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

Abdelheq Mezouaghi; Abdelkader Benali; Sunil Kumar; Salih Djilali; Anwar Zeb; Shahram Rezapour

doi:10.1186/s13662-021-03642-z

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

Abdelheq Mezouaghi
, Abdelkader Benali
, Sunil Kumar
, Salih Djilali
, Anwar Zeb
, Shahram Rezapour

Benbouali Hassiba University of Chlef
University of Mostaganem
National Institute of Technology Jamshedpur
Abou Bakr Belkaïd University of Tlemcen
COMSATS University Islamabad
Azarbaijan Shahid Madani University
China Medical University Taichung

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Article number	487
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03642-z
State	Published - Dec 2021
Externally published	Yes

Keywords

Fractional calculus
Hunting cooperation
Predator infection
Resource-consumer model

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10.1186/s13662-021-03642-z

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title = "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 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.",

keywords = "Fractional calculus, Hunting cooperation, Predator infection, Resource-consumer model",

author = "Abdelheq Mezouaghi and Abdelkader Benali and Sunil Kumar and Salih Djilali and Anwar Zeb and Shahram Rezapour",

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T1 - Mathematical analysis of a fractional resource-consumer model with disease developed in consumer

AU - Mezouaghi, Abdelheq

AU - Benali, Abdelkader

AU - Kumar, Sunil

AU - Djilali, Salih

AU - Zeb, Anwar

AU - Rezapour, Shahram

PY - 2021/12

Y1 - 2021/12

N2 - 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.

AB - 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.

KW - Fractional calculus

KW - Hunting cooperation

KW - Predator infection

KW - Resource-consumer model

UR - https://www.scopus.com/pages/publications/85118734759

U2 - 10.1186/s13662-021-03642-z

DO - 10.1186/s13662-021-03642-z

M3 - Article

AN - SCOPUS:85118734759

SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 487

ER -

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

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Keywords

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