典型文献
Diffusion-induced Spatio-temporal Oscillations in an Epidemic Model with Two Delays
文献摘要：
We investigate a diffusive,stage-structured epidemic model with the maturation delay and freely-moving delay.Choosing delays and diffusive rates as bifurcation parameters,the only possible way to destabilize the endemic equilibrium is through Hopf bifurcation.The normal forms of Hopf bifurcations on the center manifold are calculated,and explicit formulae determining the criticality of bifurcations are derived.There are two different kinds of stable oscillations near the first bifurcation:on one hand,we theoretically prove that when the diffusion rate of infected immature individuals is sufficiently small or sufficiently large,the first branch of Hopf bifurcating solutions is always spatially homogeneous;on the other,fixing this diffusion rate at an appropriate size,stable oscillations with different spatial profiles are observed,and the conditions to guarantee the existence of such solutions are given by calculating the corresponding eigenfunction of the Laplacian at the first Hopf bifurcation point.These bifurcation behaviors indicate that spatial diffusion in the epidemic model may lead to spatially inhomogeneous distribution of individuals.
文献关键词：
中图分类号：
作者姓名：
Yan-fei DU;Ben NIU;Jun-jie WEI
作者机构：
School of Mathematics,Harbin Institute of Technology,Harbin 150001,China;School of Mathematics & Data Science,Shaanxi University of Science and Technology,Xi'an 710021,China;Department of Mathematics,Harbin Institute of Technology,Weihai 264209,China;School of Science,Jimei University,Xiamen 361021,China
文献出处：
引用格式：
[1]Yan-fei DU;Ben NIU;Jun-jie WEI-.Diffusion-induced Spatio-temporal Oscillations in an Epidemic Model with Two Delays)[J].应用数学学报（英文版）,2022(01):128-153
A类：
destabilize
B类：
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AB值：
0.610537
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