Pattern formation of an epidemic model with time delay

被引：29
|
作者：
Li, Jing [1 ]
Sun, Gui-Quan [2 ,3 ]
Jin, Zhen [2 ,3 ]
机构：
[1] North Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China
[2] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China
[3] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2014年 / 403卷
基金：
中国国家自然科学基金;
关键词：
Epidemic model; Spatial diffusion; Time delay; Pattern formation; PARTIAL-DIFFERENTIAL-EQUATIONS; GLOBAL STABILITY; HOPF-BIFURCATION; TRAVELING-WAVES; HBV MODEL; DIFFUSION; INFECTION; BEHAVIOR; FERRETS; PERIOD;
D O I：
10.1016/j.physa.2014.02.025
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
One of the central issues in epidemiology is the study of the distribution of disease. And time delay widely exists in the process of disease spread. Thus, in this paper, we presented an epidemic model with spatial diffusion and time delay. By mathematical analysis, we find two different types of instability. One is the diffusion induced instability, and the other one is delay induced instability. Moreover, we derive the corresponding patterns by performing a series of numerical simulations. The obtained results show that the interaction of diffusion and time delay may give rise to rich dynamics in epidemic systems. (c) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：100 / 109
页数：10
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