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.
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
