A predator-prey system with stage-structure for predator

A predator-prey system with stage-structure for predator
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DOI:
10.1016/s0898-1221(97)00056-4
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发表时间:
1997-04-01
影响因子:
2.9
通讯作者:
Chen, LS
Chen, LS
中科院分区:
数学2区
文献类型:
--
作者:
Wang, WD;Chen, LS

文献摘要

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研究了一类具有阶段结构的捕食-食饵模型的渐近性态。发现该模型存在一个轨道渐近稳定的周期轨道.当考虑到捕食者的怀孕时滞和食饵的拥挤时滞时,我们建立了种群持续生存的条件和正平衡点全局稳定的充分条件.
This paper studies the asymptotic behavior of a predator-prey model with stage structure. It is found that an orbitally asymptotically stable periodic- orbit exists in that model. When time delay due to gestation of predator and time delay from crowding effect of prey are incorporated, we establish the condition for the permanence of populations and sufficient conditions under which positive equilibrium of the model is globally stable.