一类互惠种群脉冲模型的正概周期振荡研究

Study on Positive Almost Periodic Oscillation of a Model of Facultative Mutualism with Impulsive Effects

本文将考虑一类很难得到持续性的概周期互惠种群脉冲模型.利用一种新的研究思想和方法——基于单调算子的不动点理论,我们对其正概周期振荡进行研究并得到一个新的结果;利用李雅普洛夫函数方法,对该模型及其正概周期振荡的全局吸引性进行探讨,得到一些关于该模型正概周期振荡存在、惟一且全局吸引的新结果.本文的结果推广并改进了近年来的一些研究结果.

This paper is concerned with a model of facultative mutualism with impulsive effects, which is hard to obtain the permanence. Using the fixed point theory base on monotone operator, the positive almost periodic solutions of the model is studied. Further, by constructing a suitable Lyapunov functional, the global attractivity of the model is also investigated. The results of this paper extend and improve some results in recent years.