带有脉冲和收获项的时滞Crowly-Martin 型食饵-捕食系统的四个正周期解  

Four positive periodic solutions of a delayed Crowly-Martin type predator-prey system with impulsive and harvesting terms

作　　者：吕小俊[1] 谢海平[1] 吕鹏辉 LV Xiao-jun;XIE Hai-ping;LV Peng-hui(Department of Information, School of Tourism and Culture, Yunnan University, Lijiang 674199, P. R. C.)

机构地区：[1]云南大学旅游文化学院信息学院

出　　处：《西南民族大学学报（自然科学版）》2019年第4期396-404,共9页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：云南省教育厅自然科学基金项目(2017ZDX270);云南大学旅游文化学院重点项目(2015XYZ03)

摘　　要：通过使用一般连续定理和一些微积分技巧,研究带有脉冲和收获项的时滞Crowly-Martin型食饵-捕食系统的动力学特征,并获得该时滞Crowly-Martin型食饵-捕食系统存在四个正周期解的充分条件.最后,给出一个例子去验证结论的有效性.由时滞Crowly-Martin型食饵-捕食系统多解性的研究过程可知,收获项会影响食饵-捕食系统的多个正周期规则.Neralizea delayed Crowly-Martin type predator-prey systems with impulsive and harvesting terms were investigated. By using the ged continuation theorem and differential inequality skills, the existence of four positive periodic solutions were established for a delayed Crowly-Martin type predator-prey system with impulsive and harvesting terms. Moreover, an example was provided to illustrate the effectiveness of the proposed result. From multiple periodic solution of Crowly-Martin type predator-prey systems research process, harvesting terms will affect the multiple periodic solution rule.

关 键 词：时滞 脉冲 食饵-捕食系统 Crowly-Martin 四个正周期解 

分 类 号：O175[理学—数学]