Stability analysis of the fractional-order prey-predator model with infection. (2nd November 2021)

• Record Type: Journal Article
• Authors: Ramesh, Perumal; Sambath, Muniyagounder; Mohd, Mohd Hafiz; Balachandran, Krishnan
• Is Part Of: International journal of modelling & simulation. Volume 41:Number 6(2021)
• Page Start: 434
• Page End: 450
• Publication Date: 2021-11-02
• Subjects: Boundedness -- existence and uniqueness -- solutions -- fractional dynamical system -- stability -- prey-predator model; Mathematical models -- Periodicals; Simulation methods -- Periodicals; Mathematical models; Simulation methods; Periodicals; 003.3
• DOI: 10.1080/02286203.2020.1783131
• Languages: English
• ISSNs: 0228-6203

Abstract

ABSTRACT: In this paper, we propose a fractional-order prey-predator model with infection on both populations. First, we prove some important results such as existence, uniqueness, non-negativity and boundedness of the solutions of the fractional-order dynamical system. Next, we discuss the local stability and global stability of the fractional-order prey-predator model. Numerical simulations are presented with several examples.