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- W4323570239 abstract "This paper is concerned with the spatiotemporal heterogeneity in a modified Leslie–Gower predator–prey system with Beddington–DeAngelis functional response and prey-taxis. Using Crandall–Rabinowitz bifurcation theory, we investigate the steady-state bifurcation of the nonlinear system by choosing the prey-tactic sensitivity coefficient as a bifurcating parameter. It is rigorously proved that a branch of nonconstant solution exists near the positive equilibrium when the prey-tactic sensitivity is repulsive. Moreover, we study the existence, direction and stability of periodic orbits around the interior constant equilibrium by selecting the intrinsic growth rate of the prey as a bifurcating parameter. A priori estimates play a critical role in the verification procedure. Some numerical simulations are carried out to support our main theoretical results." @default.
- W4323570239 created "2023-03-09" @default.
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- W4323570239 date "2023-02-01" @default.
- W4323570239 modified "2023-09-23" @default.
- W4323570239 title "Global Bifurcation in a Modified Leslie–Gower Predator–Prey Model" @default.
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- W4323570239 doi "https://doi.org/10.1142/s0218127423500165" @default.
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