Traveling wave solutions of a diffusive SI model with strong Allee effect

Traveling wave solutions of a diffusive SI model with strong Allee effect
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强Allee效应扩散SI模型的行波解

DOI:
10.1016/j.amc.2013.06.068
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发表时间:
2013-10
影响因子:
4
通讯作者:
Weng, Peixuan
Weng, Peixuan
中科院分区:
数学2区
文献类型:
--
作者:
Shu, Li;Weng, Peixuan

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We investigate a diffusive SI epidemic model with strong Allee effect. We establish the existence of traveling wave solutions connecting a disease-free equilibrium to the co-existence equilibrium for wave speed c> c∗. A pair of upper–lower solutions are constructed delicately such that the application of Schauder fixed point theorem and iteration technique are available in a convex set restricted by the upper-lower solutions.
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