CAJ | 학술논문

本文考虑一类具有脉冲扰动的比率相关的捕食者一食饵扩散模型,利用比较原理研究了这类系统的持续生存和灭绝性,通过将脉冲反应扩散方程转化为相应的算子方程,并证明了解在适当空间的紧性,得到了周期解的存在性、唯一性和全局稳定性.最后分析了脉冲效应对系统性态的影响.
본문고필일류구유맥충우동적비솔상관적포식자일식이확산모형,이용비교원리연구료저류계통적지속생존화멸절성,통과장맥충반응확산방정전화위상응적산자방정,병증명료해재괄당공간적긴성,득도료주기해적존재성、유일성화전국은정성.최후분석료맥충효응대계통성태적영향.
This paper deals with a diffusive ratio-dependent predator-prey model with impulsive perturbations. The permanence and extinction of the system are investigated by comparison principles. The existence, uniqueness and globally asymptotic stability of positive periodic solutions are obtained. The presented results illustrate impulsive control is an important strategy in ecological resource management since it can transform the permanence of ecological system.