Title: Dynamics analysis of modified Leslie-Gower prey-predator system with Holling type II functional response

Authors: M.S. Surendar; M. Sambath

Addresses: Division of Mathematics, Saveetha School of Engineering, SIMATS, Chennai, 602 105, India ' Department of Mathematics, Periyar University, Salem, 636 011, India

Abstract: In this paper, we investigate a modified Leslie-Gower prey-predator system with Holling type II functional response. For the non-spatial system, we studied the stability of coexisting homogeneous steady-states. Further, we examined the occurrence of Hopf bifurcation at non-trivial equilibrium and the stability of bifurcate periodic solutions. In addition, we analysed the existence of diffusion-driven instability of an equilibrium solution. Moreover, we derived some conditions regarding parameters to establish the existence of Turing instability. Also, numerical simulations are carried out to verify our analytical results.

Keywords: prey-predator system; stability; Hopf bifurcation; periodic solutions; Turing instability; diffusion.

DOI: 10.1504/IJDSDE.2022.127815

International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.5, pp.449 - 466

Accepted: 29 Sep 2021
Published online: 19 Dec 2022 *

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