Dynamics of fractional-order delay differential model of prey-predator system with Holling-type III and infection among predators

F.A. Rihan and C Rajivganthi

Chaos, Solitons & Fractals, 2020, vol. 141, issue C

Abstract: In this work, we study the dynamics of a fractional-order delay differential model of prey-predator system with Holling-type III and predator population is infected by an infectious disease. We use Laplace transform, Lyapunov functional, and stability criterion to establish new sufficient conditions that ensure the asymptotic stability of the steady states of the system. Existence of Hopf bifurcation is investigated. The model undergoes Hopf bifurcation, when the feedback time-delays passes through the critical values τ1* and τ2*. Fractional-order improves the dynamics of the model; while time-delays play a considerable influence on the creation of Hopf bifurcation and stability of the system. Some numerical simulations are provided to validate the theoretical results.

Keywords: Bifurcation; Eco-epidemiological model; Fractional-order; Prey-Predator; Stability; Time-delay (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920307608

DOI: 10.1016/j.chaos.2020.110365

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