Pattern formation in a reaction-diffusion parasite-host model

被引：7

作者：

Zhang, Baoxiang ^{[1
]}

Cai, Yongli ^{[1
]}

Wang, Bingxian ^{[1
]}

Wang, Weiming ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 525卷

基金：

美国国家科学基金会;

关键词：

parasite-host model; Stability; Steady-state; Turing pattern; PREDATOR-PREY MODEL; EPIDEMIC MODEL; TRANSMISSION DYNAMICS; TURING PATTERNS; SPATIOTEMPORAL DYNAMICS; SPATIAL-PATTERNS; TRAVELING-WAVES; STEADY-STATE; ZIKA VIRUS; DISEASE;

D O I：

10.1016/j.physa.2019.03.088

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we investigate the Turing pattern formation of a reaction-diffusion parasite-host model analytically and numerically. We give the stability of the constant positive steady-state which shows that the model exhibits stationary Turing pattern as a result of diffusion. Via numerical simulations, we present the pattern formation and find that the model dynamics exhibits a diffusion-controlled formation growth of "spots -> spots-stripes -> stripes -> holes-stripes -> holes" pattern replication. The results show that we must do our best to regulate the parameters in the special range to avoid disease outbreak. (C) 2019 Published by Elsevier B.V.

引用

页码：732 / 740

页数：9

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