具有综合控制策略的离散宿主病原体模型(英文)

Discrete Host-Pathogen Models with Integrated Control Tactics

研究了具有综合控制策略的离散宿主病原体模型,并考虑了固定时刻脉冲效应和状态依赖脉冲效应对综合控制策略的影响.对于固定时刻脉冲的模型,分析了宿主根除、宿主病原体共存以及宿主爆发周期解的存在性和稳定性,并给出了宿主根除周期解全局稳定的充分条件.对于状态依赖的脉冲离散模型,数值研究说明宿主最大振幅不超过经济临界值的周期解的存在性以及相应动态行为的复杂性.

Discrete host-pathogen models including integrated pest management (IPM)interventions with impulsive effects at both fixed and unfixed times were analysed with regard to host-eradication,host-pathogen persistence and host-outbreak solutions. The condition which guarantees the global stability of host-eradication periodic solution with fixed moments is given.Periodic solutions also exist for models with unfixed mo- ments for which the maximum amplitude of the host is less than the economic threshold. However...