Journal of Guangxi Normal University(Natural Science Edition) ›› 2022, Vol. 40 ›› Issue (2): 132-139.doi: 10.16088/j.issn.1001-6600.2021070902

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Turing Instability of a Parasite-host Model on Growing Domains

ZHANG Wanjing, LIN Zhigui*   

  1. School of Mathematical Science, Yangzhou University, Yangzhou Jiangsu 225002, China
  • Received:2021-07-09 Revised:2021-08-16 Published:2022-05-31

Abstract: In order to study the influence of growing domain on Turing instability of the parasite-host model, this paper takes the parasite-host infectious disease model as the main body and analyzes its Turing instability conditions through linearization and spectral analysis. Numerical simulations are used to verify the theoretical results. The results show that the increase of the diffusion coefficient is benefitial for formation of Turing pattern, but regional growth has a destructive effect on Turing pattern formation.

Key words: parasite-host model, growing domain, Turing instability, numerical simulation, infectious diseases

CLC Number: 

  • R181
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