多滞量Lotka-Volterra竞争捕食系统的正周期解  

Positive periodic solutions of Lotka-Volterra competitive predator prey system with multiple delays

作　　者：任睿超[1] 孙洁[1] 

机构地区：[1]西北大学现代学院基础部,陕西西安710130

出　　处：《高师理科学刊》2016年第6期1-5,共5页Journal of Science of Teachers＇College and University

基　　金：2014陕西省教育厅专项科研计划项目(14JK2146)

摘　　要：运用Mawhin重合度定理和积分不等式构造了有界开集,讨论了一类带任意多时滞的3种群非自治Lotka-Volterra竞争捕食系统,给出了正周期解存在的充分条件,在系数满足一定的条件时得到了周期振荡的结论.Mawhin＇s continuation theorem of coincidence degree and integral inequality were used to construct a bounded open sets,and the non autonomous Lotka Volterra predator-prey system of three species with arbitrary time delay was discussed by giving a sufficient condition for the existence of the positive periodic solutions in that if the coefficients satisfied certain conditions,periodic oscillation has been obtained.

关 键 词：LOTKA-VOLTERRA竞争系统 正周期解 Mawhin重合度定理 

分 类 号：O175.12[理学—数学]