一类脉冲时滞Hassell-Varley型捕食被捕食系统的正周期解  

Existence of Positive Periodic Solutions for a Kind of Impulsive Delayed Predator-prey Models

作　　者：袁梦涵 杨喜陶[1] YUAN Meng-han;YANG Xi-tao(School of Mathematics,Hunan University of Science and Technology,Xiangtan,Hunan 411201,China)

机构地区：[1]湖南科技大学数学与计算科学学院,湖南湘潭411201

出　　处：《伊犁师范学院学报（自然科学版）》2018年第2期1-11,共11页Journal of Yili Normal University：Natural Science Edition

基　　金：湖南省自然科学基金(2015JJ2063)资助

摘　　要：研究了一类非线性脉冲时滞Hassell-Varley型捕食被捕食系统的动力学行为.通过利用重合度原理研究其正周期解的存在性,得到了该系统正周期解存在性的充分条件.the dynamic behaviors for a class of nonlinear impulsive delayed predator-prey models with Hassell-Varley type functional response and two time-varying delays in the system were studied. By using the coincidence degree theory, some sufficient conditions are determined that guarantee the existence of positive periodic solutions for the model.

关 键 词：时滞 捕食被捕食 Hassell-Varley型 正周期解 脉冲 

分 类 号：O175.14[理学—数学]