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.
作者
崔璐
李善兵
CUI Lu;LI Shanbing(College of Mathematics and Statistics,Xidian University,Xi’an 710126,China)
出处
《吉林大学学报(理学版)》
CAS
北大核心
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).
关键词
捕食-食饵系统
B-D反应函数
稳定性
共存解
predator-prey system
B-D type response function
stability
coexistence solution