Dynamic behavior of a fractional order prey-predator model with group defense

Javad Alidousti and Elham Ghafari

Chaos, Solitons & Fractals, 2020, vol. 134, issue C

Abstract: In this paper, we consider a fractional order prey predator model with a prey and two predator species with the group defense capability. In this model, we use the Holling-IV functional response, called Monod-Haldane function, for interactions between prey and predator species. Boundedness of the solution will be proved. Local stability of system’s equilibrium points will be investigated analytically and the required conditions for existence of Hopf bifurcation will be obtained. Finally, by using numerical methods, the validity of the obtained results and more dynamical behaviors of system, such as chaotic and periodic solutions will be assessed.

Keywords: Prey-predator model; Stability analysis; Caputo derivative; Bifurcation; Chaos; Periodic solution (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:134:y:2020:i:c:s0960077920300904

DOI: 10.1016/j.chaos.2020.109688

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