一类时滞Richards捕食模型  

A Class of Delayed Richards Predator-prey Model

作　　者：胡宝安[1] 鞠涛[1] 李亚玲[1] 

机构地区：[1]军事交通学院基础部,天津300161

出　　处：《北华大学学报（自然科学版）》2012年第6期627-631,共5页Journal of Beihua University（Natural Science）

摘　　要：研究了一类幼年存活率依赖成熟期的阶段结构Richards捕食模型,给出了边界平衡点全局渐近稳定的条件,得到了系统一致持续生存和正平衡点全局渐近稳定的充分条件,分析了相关结论的生物学意义.A stage structured Richards predator-prey model with maturation time delay is researched.The condition for the global asymptotical stability of the boundary equilibrium is given.The system is uniformly persistent,and the positive steady state is globally asymptotically stable under some conditions.The biological meaning of the results is also given.

关 键 词：阶段结构 时滞 渐近稳定 Richards模型 

分 类 号：O175.14[理学—数学]