Structured population on two patches: modeling dispersal and delay

Structured population on two patches: modeling dispersal and delay
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DOI:
10.1007/s002850100081
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发表时间:
2001-07
影响因子:
1.9
通讯作者:
J. So;Jianhong Wu;X. Zou
J. So;Jianhong Wu;X. Zou
中科院分区:
数学4区
文献类型:
--
作者:
J. So;Jianhong Wu;X. Zou

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我们从年龄结构模型的延迟微分方程系统来描述空间扩散(两个补丁)和时间延迟(从成熟期)的相互作用。我们的模型分析表明,不同的未成熟死亡率可以改变均匀平衡的行为,导致中间平衡和复杂的动力学(可能是稳定的同步周期振荡和不稳定的锁相振荡共存的形式)附近的最大平衡的瞬态振荡。
We derive from the age-structured model a system of delay differential equations to describe the interaction of spatial dispersal (over two patches) and time delay (arising from the maturation period). Our model analysis shows that varying the immature death rate can alter the behavior of the homogeneous equilibria, leading to transient oscillations around an intermediate equilibrium and complicated dynamics (in the form of the coexistence of possibly stable synchronized periodic oscillations and unstable phase-locked oscillations) near the largest equilibrium.