具有非线性交叉扩散的B-D型捕食-食饵系统的共存解

Abstract

Abstract: We considered the steady-state solutions of a B-D type predator-prey system with nonlinear cross-diffusion under homogeneous Dirichlet boundary conditions. Firstly, we analyzed the stability of trivial solution and semi-trivial solutions based on the spectral theory of linear operators. Secondly, the sufficient conditions for the existence of coexistence solutions were obtained by using the fixed point index theory in positive cones.

Key words: predator-prey system, B-D type response function, stability, coexistence solution

CLC Number:

O175.26

CUI Lu, LI Shanbing. Coexistence Solutions of B-D Type Predator-Prey System with Nonlinear Cross-Diffusion[J].Journal of Jilin University Science Edition, 2023, 61(4): 772-784.

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Coexistence Solutions of B-D Type Predator-Prey System with Nonlinear Cross-Diffusion

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