徐州工程学院学报：自然科学版2012，Vol.27Issue(4)：38-42,5.
一类非线性脉冲系统的稳定性分析：理论研究
Stability Analysis of a Class of Nonlinear Impulsive Systems
摘要
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.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Key words
predator-prey system/functional response/impulsive differential equation/control stability分类
数理科学引用本文复制引用
张红雷..一类非线性脉冲系统的稳定性分析：理论研究[J].徐州工程学院学报：自然科学版,2012,27(4):38-42,5.
