捕食者有病的捕食—食饵扩散模型的稳定性分析  

Stability Analysis of Diffusive Predator-Prey Model with Epidemic in the Predator

作　　者：郭中凯[1] 张希娜[1] 李建生[1] 

机构地区：[1]兰州理工大学技术工程学院理学部,甘肃兰州730050

出　　处：《生物数学学报》2015年第3期469-476,共8页Journal of Biomathematics

基　　金：国家自然科学基金项目(No.30970478;No.30970491)资助

摘　　要：研究了一个捕食者有病,食饵具有Logistic增长的修正的Leslie-Gower功能反应的捕食-食饵扩散模型.应用线性化和Lyapunov泛函方法,获传染病灭绝的平衡点E_2局部渐近稳定和全局渐近稳定的充分条件.并通过数值模拟验证主要结论.A diffusive predator-prey model with epidemic was formulated and investigated and predator with modified Leslie-Gower response function and prey with Logsitic growth were considered.The sufficient conditions of local asymptotic stability and global asymptotic stability of disease-free equilibrium E_2 were obtained by linearization and lyapunov function respectively.Moreover,numerical simulations were performed to substantiate the main theoretical result.

关 键 词：捕食者-食饵模型 扩散模型 LYAPUNOV泛函 稳定性 

分 类 号：O175[理学—数学]