| 多滞量Lotka-Volterra竞争捕食系统的正周期解 |
| |
| 引用本文： | 任睿超,孙洁.多滞量Lotka-Volterra竞争捕食系统的正周期解[J].高师理科学刊,2016(6):1-5. |
| |
| 作者姓名： | 任睿超 孙洁 |
| |
| 作者单位： | 西北大学现代学院 基础部,陕西 西安,710130 |
| |
| 基金项目： | 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.
|
| 关 键 词： | Lotka-Volterra竞争系统 正周期解 Mawhin重合度定理 |
Positive periodic solutions of Lotka-Volterra competitive predator prey system with multiple delays |
| |
| Abstract: | 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 discussedby giving a sufficient condition for the existence of the positive periodic solutionsin that if the coefficients satisfied certain conditions,periodic oscillationhas been obtained. |
| |
| Keywords: | Lotka-Volterra competitive system positive periodic solution Mawhin coincidence degree theorem |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
