【作者】 项景华；

【导师】 林发兴；

【作者基本信息】 福州大学 ， 应用数学， 2006， 硕士

【摘要】 本文共分两章. 第一章考虑如下一捕食者――两食饵的非自治生态系统利用藤志东和Mehbuba等学者所发展的分析技巧,得到上述系统持久生存和绝灭的充分条件,利用经典常微分方程的稳定性理论和概周期微分方程理论,通过构造适当的Lyapunov函数,得到了上述系统在概周期(周期)条件下存在唯一的全局一致吸引的正概周期(周期)解的充分条件. 第二章研究了在脉冲条件下具有Holling-II型功能性反应的周期系统利用重合度理论中的延拓定理,得到该系统存在正周期解的一个充分条件.更多还原

【Abstract】 This paper is composed of two chapters: In Chapter 1, we consider following One-predator—Two-prey ecological system By using the techniques developed by Teng and Mehbuba , we obtain sufficient conditions for the permanent and extinction of the system .Furthermore, sufficient conditions are obtained for existence and uniqueness of uniformly global attractive and almost periodic solutions under the condition of almost periodic with help of the theories of almost periodic differential equation and by constructing proper Lyapuniv function. In Chapter 2, we investigate Holling-II type functional response periodic system with impulse: With the help of coincidence degree theory, easily verifiable criteria are established for the existence of positive periodic solutions of the system.更多还原