Dynamics analysis of modified Leslie-Gower prey-predator system with Holling type II functional response
by M.S. Surendar; M. Sambath
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 12, No. 5, 2022

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.

Online publication date: Mon, 19-Dec-2022

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