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

Authors :
Shahram Rezapour
Abdelkader Benali
Salih Djilali
Sunil Kumar
Abdelheq Mezouaghi
Anwar Zeb
Source :
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-17 (2021)
Publication Year :
2021
Publisher :
SpringerOpen, 2021.

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.

Details

Language :
English
ISSN :
16871847
Volume :
2021
Issue :
1
Database :
OpenAIRE
Journal :
Advances in Difference Equations
Accession number :
edsair.doi.dedup.....89de74e280422b1f5d871bc7aafd4667