摘要
讨论了齐次Neumann边界条件下食饵有外界常收获率的捕食-食饵模型的共存态.首先分析了正常数解的稳定性以及非常数正平衡解不存在的条件.其次,基于对平衡解的先验估计,利用拓扑度理论,给出了此平衡态系统非常数正解的存在性.
In this paper,the coexistence of a predator-prey model with constant harvest in the prey is investigated.First,the stability of the positive constant solution is discussed, and the non-existence of the nontrivial nonnegative steady-state solution is given.Then,by using the degree theory,we obtain the existence of the nontrivial nonnegative solutions of the steady-state system is obtained.
出处
《系统科学与数学》
CSCD
北大核心
2012年第2期138-148,共11页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(10971124)
教育部高等学校博士点基金(200810780004)资助课题
关键词
稳定性
稳态解
拓扑度
Stability
steady-state solution
topological degree
