CAJ | 학술논문

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.
연구료구유종합공제책략적리산숙주병원체모형,병고필료고정시각맥충효응화상태의뢰맥충효응대종합공제책략적영향.대우고정시각맥충적모형.분석료숙주근제、숙주병원체공존이급숙주폭발주기해적존재성화은정성,병급출료숙주근제주기해전국은정적충분조건.대우상태의뢰적맥충리산모형.수치연구설명숙주최대진폭불초과경제림계치적주기해적존재성이급상응동태행위적복잡성.
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.