A stage-structured predator-prey model with Beddington-DeAngelis functional response
A stage-structured predator-prey model with Beddington-DeAngelis functional response
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DOI：
10.1007/s12190-007-0008-1
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发表时间：
2008-01
影响因子：
2.2
通讯作者：
Liming Cai;Jingyuan Yu;G. Zhu
中科院分区：
文献类型：
--
作者：
Liming Cai;Jingyuan Yu;G. Zhu
本文提出并分析了具有Beddington-DeAngelis函数响应的阶段结构捕食者-食饵模型。在模型中假设每个物种中的个体可能属于未成熟和成熟两类中的一类，成熟的年龄用一个时间延迟来表示。利用无穷维系统的持久理论，得到了系统持久的充分必要条件。通过构造合适的Lyapunov函数并采用迭代技术，得到了模型局部渐近稳定和正平衡全局吸引的一组易于验证的充分条件。
In this paper, a stage-structured predator-prey model with Beddington-DeAngelis functional response is proposed and analyzed. It is assumed in the model that the individuals in each specie may belong to one of two classes: the immature and the mature, the age of maturity is represented by a time delay. By using the persistence theory for infinite dimensional systems, necessary and sufficient conditions for the permanence of the system are obtained. By constructing suitable Lyapunov functions and using an iterative technique, a set of easily verifiable sufficient conditions is also obtained for the local asymptotic stability and the global attractiveness of the positive equilibrium of the model.