Periodic solutions in a herbivore-plant system with time delay and spatial diffusion
Periodic solutions in a herbivore-plant system with time delay and spatial diffusion
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具有时间延迟和空间扩散的草食动物-植物系统中的周期解
DOI：
10.1016/j.apm.2015.12.003
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发表时间：
2016-04-01
影响因子：
5
通讯作者：
Li, Jing
中科院分区：
文献类型：
--
作者：
Li, Li;Jin, Zhen;Li, Jing
实证研究表明，许多食草昆虫种群表现出周期性爆发，但这种行为的内在原因尚不清楚。因此，在这项研究中，我们研究了一个基于反应扩散方程的具有时滞的食草动物-植物系统。利用正规形式理论和偏泛函微分方程的中心流形定理，证明了该模型具有Hopf分支的性质。因此，时间延迟和空间扩散之间的相互作用将导致草食动物种群的周期性爆发。这些结果可能为食草动物大爆发提供了一种新的机制。(C)2015 Elsevier Inc. All rights reserved.
Empirical studies indicate that many populations of herbivorous insects exhibit periodic outbreaks, but the intrinsic causes of this behavior are not well understood. Thus, in this study, we investigated a herbivore-plant system with time delay based on reaction diffusion equations. Using normal formal theory and the center manifold theorem for partial functional differential equations, we show that this model exhibits the property of Hopf bifurcation. Therefore, interactions between the time delay and spatial diffusion will induce periodic outbreaks in herbivore populations. These results may suggest a new mechanism for herbivore outbreaks. (C) 2015 Elsevier Inc. All rights reserved.