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- Title
Global bifurcation for a Beddington–DeAngelis and Tanner predator–prey reaction–diffusion system with prey‐taxis.
- Authors
Luo, Demou; Wang, Qiru
- Abstract
The aim of this paper is to establish a precise illustration for the structure of the nonconstant steady states for a Beddington–DeAngelis and Tanner predator–prey reaction–diffusion system with prey‐taxis. We treat the nonlinear prey‐taxis as a bifurcation parameter to analyze the bifurcation structure of the system. Furthermore, the exported global bifurcation theorem, under a rather natural condition, offers the existence of nonconstant steady states. In the proof, a priori estimates of steady states will play an important role. The local stability analysis with a numerical simulation and bifurcation analysis are given. Finally, some conclusions including biological meanings are performed to summarize our main analytic results and future investigations.
- Subjects
PREDATION; NUMERICAL analysis; COMPUTER simulation; A priori
- Publication
Mathematical Methods in the Applied Sciences, 2024, Vol 47, Issue 3, p1711
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9718