| 具有综合控制策略的离散宿主病原体模型(英文) |
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| 引用本文： | 梁菊花,唐三一.具有综合控制策略的离散宿主病原体模型(英文)[J].生物数学学报,2008,23(2). |
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| 作者姓名： | 梁菊花 唐三一 |
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| 作者单位： | 1. 陕西师范大学,数学与信息科学学院,陕西,西安,710062;周口师范学院,数学系,河南,周口,466001
2. 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 摘 要： | 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.
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| 关 键 词： | 宿主病原体模型 IPM 经济临界 脉冲差分方程 宿主爆发 |
Discrete Host-Pathogen Models with Integrated Control Tactics |
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| LIANG Ju-hua,TANG San-yi.Discrete Host-Pathogen Models with Integrated Control Tactics[J].Journal of Biomathematics,2008,23(2). |
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| Authors: | LIANG Ju-hua TANG San-yi |
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| Institution: | 1 (1 College of Mathematics and Information Science; Shanzi Normal University; Xi an Shanxi 710062 China) (2 Department of Mathematics; Zhoukou Normal University; Zhoukou Henan 466001 China); |
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| Abstract: | 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 moments for which the maximum amplitude of the host is less than the economic threshold. However, the results obtained here indicate that, in practice, it is a very difficult task to control the host population such that its density does not exceed economic threshold. |
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| Keywords: | Host-pathogen model IPM Economic threshold Impulsive difference equations Host-outbreak |
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