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食饵种群为Logistic模型的捕食者食系统的持久性
Permanence of Predator-prey System with Logistic Growth in the Prey
【摘要】 考虑食饵为Logistic模型的捕食者 食非自治系统 ,证明了该系统在某些条件下是持久的 .而且 ,若该系统是周期系统 ,在某些条件下 ,它们存在正周期解且是全局渐近稳定的
【Abstract】 The nonautonomous predator prey model with logistic growth in the prey is considered. It is shown that the system is permanent under some appropriate conditions. Inaddition, for the periodic system there is a unique positive periodic solution which is globally asymptotically stable.
【关键词】 捕食者食;
持久性;
周期解;
渐近稳定;
【Key words】 Predator prey; Persistence; Diffusion; Global asymptotic stability;
【Key words】 Predator prey; Persistence; Diffusion; Global asymptotic stability;
- 【文献出处】 北华大学学报(自然科学版) ,Journal of Beihua University(Natural Science) , 编辑部邮箱 ,2003年01期
- 【分类号】O175.13
- 【下载频次】128