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.
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页码：732 / 740
页数：9
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