具有收获和阶段结构的时滞脉冲的捕食-食饵模型  

Predator-Prey Model of Delayed Impulsive with Harvesting and Stage Structure

作　　者：章培军[1] 王震[1] 陈恒[1] ZHANG Pei-jun;WANG Zhen;CHEN Heng(School of Science,Xijing University,Xi’an 710123,China)

机构地区：[1]西京学院理学院,陕西西安710123

出　　处：《数学的实践与认识》2020年第8期262-269,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11726624);陕西省教育厅科学研究计划项目(19JK0906);陕西省重点研发计划项目(2018GY-091)。

摘　　要：研究了食饵分布在不同斑块,捕食者具有阶段结构和收获的时滞脉冲的捕食-食饵模型.利用离散动力系统的频闪映射,得到了捕食者灭绝周期解的存在性和它的精确表达式.使用比较原理,得到了捕食者灭绝周期解全局渐近稳定的充分条件和系统的持久性.最后,用Matlab软件进行数值仿真验证了获得的结果.A predator-prey Model of delayed impulsive with prey distribution in different patches,predator with harvesting and stage structure was investigated in this paper.Using the discrete dynamical system determined by the stroboscopic map,periodic solution of the extinction of predator and its exact expression were obtained.Applying the comparison theorem,we obtain the sufficient conditions for the global attractivity of the the extinction of predator periodic solution.Finally,Matlab is employed to carry out numerical simulation to verify our results.

关 键 词：捕食-食饵模型 频闪映射 时滞脉冲 收获 

分 类 号：O175[理学—数学] Q141[理学—基础数学]