【摘要】 该文研究了具Hassell-Varley-Holling功能性反应的非自治系统.对一般非自治情形,研究了种群的持续生存和绝灭性.对于周期(概周期)情形,利用一个新的估计技巧和同伦不变性,得到了周期解(概周期解)存在的充要条件,同时研究了边界周期解(概周期解)的动力学行为.最后通过数值例子说明所得结论并给出了一些仍待研究的问题.更多还原

【Abstract】 This paper deals with a non-autonomous predator-prey system with Hassell-Varley-Holling functional response.The permanence and extinction are considered for general non-autonomous case.For periodic(almost periodic) case,necessary and sufficient criteria for the existence of positive periodic(almost periodic) solutions are derived by a new estimation technique and the invariance property of homotopy,the dynamics of boundary periodic(almost periodic) solutions are also investigated.The authors end this paper with some numerical simulations and interesting problems remaining.更多还原