Global bifurcation for a reaction–diffusion predator–prey model with Holling-II functional response and prey–taxis

Demou Luo

Chaos, Solitons & Fractals, 2021, vol. 147, issue C

Abstract: The aim of this study is to establish a precise illustration of the structure of the nonconstant steady state for a Holling-II predator–prey reaction–diffusion system, with prey-taxis. We treat the nonlinear prey-taxis as a bifurcation parameter to discuss the global bifurcation of the system. Furthermore, the prey-taxis term, under a rather natural condition, offers nonconstant steady states. In the proof, a priori estimates and the regularity of the steady states will play an important role. Numerical simulation is provided to support our main theoretical results. Finally, conclusions are drawn to summarise the main analytical results.

Keywords: Reaction–diffusion predator–prey model; Holling-II functional response; Prey-taxis; Steady-state; A priori estimates; Global bifurcation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003295

DOI: 10.1016/j.chaos.2021.110975

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