具有时滞和阶段结构的捕食系统的持久性和全局吸引性

摘要

研究一类具有时滞和阶段结构的捕食系统.利用微分方程的比较原理和通过构造适当的Lyaponov泛函,得到保证此系统持久性和全局吸引性的充分条件.最后举例说明结论的可行性并且讨论了所得结果的生态意义.%A predator-prey system with stage structure and time delays is studied in this paper. Sufficient conditions which guarantee the uniform persistence and global attractivity of the model are obtained by using the standard comparison theorem and constructing a suitable Lyaponov functional. At theend of the paper, example show the feasibility of the main results and some biological enplanation of the main results are presented.