CAJ | 학술논문

讨论了一类基于比率的具有反馈控制的非自治捕食系统,所有的参数都是时滞的.先研究了该系统的一致持久性和全局渐近稳定性,并通过构造适当的Lyapunov函数,得到了系统存在惟一渐近稳定的正概周期解的充分性条件.最后,通过一个例子说明了结论的可行性.
토론료일류기우비솔적구유반궤공제적비자치포식계통,소유적삼수도시시체적.선연구료해계통적일치지구성화전국점근은정성,병통과구조괄당적Lyapunov함수,득도료계통존재유일점근은정적정개주기해적충분성조건.최후,통과일개례자설명료결론적가행성.
In this paper.we consider a nonautonomous ratio-dependent predatorprey model with feedback controls.where all the parameters are time-dependent.we first discuss the positive invariance,permanence and globally asymptotic stability of the model;after that,by constructing a suitable Lyapunov function,we obtain conditions for existence,uniqueness and stability of a positive almost periodic solution.An example shows the feasibility of our main results.