PATTERN SELECTION IN AN EPIDEMIC MODEL WITH SELF AND CROSS DIFFUSION

被引：75

作者：

Wang, Weiming ^{[1
,2
]}

Lin, Yezhi ^{[1
]}

Wang, Hailing ^{[3
]}

Liu, Houye ^{[1
]}

Tan, Yongji ^{[2
]}

机构：

[1] Wenzhou Univ, Coll Math & Informat Sci, Wenzhou 325035, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[3] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

JOURNAL OF BIOLOGICAL SYSTEMS | 2011年 / 19卷 / 01期

关键词：

Epidemic Model; Amplitude Equations; Cross-Diffusion; AMPLITUDE EQUATIONS; HBV MODEL; DYNAMICS; BIFURCATION;

D O I：

10.1142/S0218339011003555

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we have presented Turing pattern selection in a spatial epidemic model with zero-flux boundary conditions, for which we have given a general survey of Hopf and Turing bifurcations, and have derived amplitude equations for the excited modes. Furthermore, we present novel numerical evidence of typical Turing patterns, and find that the model dynamics exhibits complex pattern replication: on increasing the control parameter r, the sequence "H-0-hexagons -> H-0-hexagon-stripe mixtures -> stripes -> H pi-hexagon-stripe mixtures -> H-pi-hexagons" is observed. This may enrich the research of the pattern formation in diffusive epidemic models.

引用

页码：19 / 31

页数：13

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