摘要
建立了一个有避难所、毒素作用和外界收获影响的捕食者—食饵扩散模型,讨论了该模型解的一致有界性,应用线性化和谱分析的方法讨论了该模型平衡点的局部稳定性,通过构造适当的Lyapunov泛函讨论了正平衡点的全局渐近稳定性.
A predator-prey diffusion system with refuge and toxicity is studied.The uniform boundedness of solution is investigated.The sufficient conditions of local asymptotic stability of equilibriums are showed by applying linearization method and spectral analysis.The global asymptotical stability of the positive equilibrium is also studied by constructing a suitable Lyapunov function.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第6期20-24,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
江苏省自然科学基金资助项目(BK2006064)
关键词
捕食模型
扩散
避难所
稳定性
predator-prey model
diffusion
refuge
stability
