具有非线性交叉扩散的B-D型捕食-食饵系统的共存解  

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

作　　者：崔璐 李善兵 CUI Lu;LI Shanbing(College of Mathematics and Statistics,Xidian University,Xi’an 710126,China)

机构地区：[1]西安电子科技大学数学与统计学院,西安710126

出　　处：《吉林大学学报（理学版）》2023年第4期772-784,共13页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11901446);中国博士后科学基金特别资助项目(批准号:2021T140530);西安市科协青年人才托举计划项目(批准号:095920201325).

摘　　要：考虑一类齐次Dirichlet边界条件下具有非线性交叉扩散的B-D型捕食-食饵系统的稳态解.首先,根据线性算子的谱理论分析平凡解和半平凡解的稳定性;其次,利用正锥中的不动点指数理论给出共存解存在的充分条件.We considered the steady-state solutions of a B-D type predator-prey system with nonlinear cross-diffusion under homogeneous Dirichlet bound ary 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 existenc e of coexistence solutions were obtained by using the fixed point index theory in positive cones.

关 键 词：捕食-食饵系统 B-D反应函数 稳定性 共存解 

分 类 号：O175.26[理学—数学]