CAJ | 학술논문

研究了一类带有状态脉冲效应的捕食模型,对无脉冲作用的系统进行定性分析,得到正平衡点存在和稳定的充分条件;对带有状态依赖的脉冲系统,综合利用微分方程几何理论中后续函数法得到系统的阶一周期解存在的充分条件,并且证明了该周期解是轨道渐近稳定的.利用数值模拟讨论了系统的生物学意义.
연구료일류대유상태맥충효응적포식모형,대무맥충작용적계통진행정성분석,득도정평형점존재화은정적충분조건;대대유상태의뢰적맥충계통,종합이용미분방정궤하이론중후속함수법득도계통적계일주기해존재적충분조건,병차증명료해주기해시궤도점근은정적.이용수치모의토론료계통적생물학의의.
This paper gives a qualitative analysis of application model of differential equation for state impulsive effect on predator-prey systems.First,we have a qualitative analysis of systems without impulsive function and we obtain the sufficient conditions for existence and stability of positive equilibrium.For systems with state-dependent impulse,by using successor function of differential equation geometry theory,the sufficient conditions for the existence and orbit asymptotic stability of an order periodic solution are obtained.Finally,numerical results show that the system are full of application significance on the pest control management.