摘要
运用脉冲时滞微分方程的比较理论,频闪映射和一些分析方法,讨论了一类捕食者具有脉冲扩散、食饵具有阶段结构的捕食-食饵模型得到了成熟食饵灭绝周期解的全局吸引和系统持久的充分条件,证明了系统的所有解是一致完全有界的.最后通过举例并进行数值模拟说明所得结果的正确性.
By using comparison theorem of impulsive differential equation, the stroboscopic mapping and some analysis techniques, a predator-prey model with impulsive diffusion on predator and stage structure on prey is discussed. Sufficient conditions of the global attrac- tivity of mature prey-extinction periodic solution and permanence of the system are obtained. All solutions of the system are uniformly ultimately bounded is also proved. Finally, examples and numerical simulations axe shown to verify the validity of our results.
出处
《数学的实践与认识》
北大核心
2016年第10期182-192,共11页
Mathematics in Practice and Theory
基金
国家自然科学基金(1161015)
关键词
年龄结构
脉冲扩散
全局吸引
一致持久
stage-structured
impulsive diffusion
global attractivity
permanence.
