| 一类非线性脉冲系统的稳定性分析：理论研究 |
| |
| 引用本文： | 张红雷. 一类非线性脉冲系统的稳定性分析：理论研究[J]. 彭城职业大学学报, 2012, 0(4): 38-42 |
| |
| 作者姓名： | 张红雷 |
| |
| 作者单位： | 徐州工程学院,江苏徐州221111 |
| |
| 摘 要： | 研究了综合害虫治理（IPM）策略下具有脉冲作用和功能反应的三阶食饵一捕食系统．利用脉冲微分方程的Floquet乘子理论、比较定理等方法，证明了当脉冲周期小于某个临界值时，系统存在一个全局渐进稳定的害虫灭绝周期解，并说明了系统的解是一致最终有界的．
|
| 关 键 词： | 食饵一捕食系统 功能性反应 脉冲微分方程 控制稳定性 |
Stability Analysis of a Class of Nonlinear Impulsive Systems |
| |
| ZHANG Hong-lei. Stability Analysis of a Class of Nonlinear Impulsive Systems[J]. Journal of Pengcheng Vocational University, 2012, 0(4): 38-42 |
| |
| Authors: | ZHANG Hong-lei |
| |
| Affiliation: | ZHANG Hong-lei (Xuzhou Institute of Technology, Xuzhou 221111, Jiangsu, China) |
| |
| Abstract: | A kind of third-order predator-prey system with impulsive effect and functional response concerning integrated pest management （IPM） strategy is studied. By using the Floquet theory and com- parison theorem of impulsive differential equation, it is proven that there exists a globally asymptotically stable pest-eradication periodic solution when the impulsive period is less than some critical value. Fur- ther, the ultimate boundedness of all the solutions in the system is explained. |
| |
| Keywords: | predator-prey system functional response impulsive differential equation control stability |
| 本文献已被 维普 等数据库收录！ |
