Pattern formation in a reaction–diffusion parasite–host model

Baoxiang Zhang, Yongli Cai, Bingxian Wang and Weiming Wang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 732-740

Abstract: 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.

Keywords: parasite–host model; Stability; Steady-state; Turing pattern (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:732-740

DOI: 10.1016/j.physa.2019.03.088

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