Periodic solution and wave front solution for delay equation

Periodic solution and wave front solution for delay equation
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延迟方程的周期解和波前解

DOI:
10.1016/j.mcm.2006.09.006
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发表时间:
2007-04
影响因子:
--
通讯作者:
Yuan, Rong
Yuan, Rong
中科院分区:
--
文献类型:
--
作者:
Lin, Guojian;Yuan, Rong

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First, a general theorem on the existence of periodic solutions for equations with small discrete delay is obtained by employing a technique which is based on a result of the existence of inertial manifold for small discrete delay equation, meanwhile, this general theorem is applied to show the existence of periodic solution for a predator–prey system with small discrete delay. Second, this technique is also used to obtain the existence of travelling wave solution for a host–vector disease model with small discrete delay.
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