Asymptotic speed of spread and traveling waves for a nonlocalepidemic model
Asymptotic speed of spread and traveling waves for a nonlocalepidemic model
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DOI：
10.3934/dcdsb.2005.5.1043
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发表时间：
2005-08
影响因子：
1.2
通讯作者：
Dashun Xu;Xiao-Qiang Zhao
中科院分区：
文献类型：
--
作者：
Dashun Xu;Xiao-Qiang Zhao
将传播和行波的渐近速度理论应用于非局部传染病模型，建立了单调行波的最小波速的存在性，并证明了它与初始函数具有紧支集的解的传播速度一致.并进行了数值模拟。
By applying the theory of asymptotic speeds of spread and traveling waves to a nonlocal epidemic model, we established the existence of minimal wave speed for monotone traveling waves, and show that it coincides with the spreading speed for solutions with initial functions having compact supports. The numerical simulations are also presented.