Pattern formation of an epidemic model with time delay

Jing Li, Gui-Quan Sun and Zhen Jin

Physica A: Statistical Mechanics and its Applications, 2014, vol. 403, issue C, 100-109

Abstract: One of the central issues in epidemiology is the study of the distribution of disease. And time delay widely exists in the process of disease spread. Thus, in this paper, we presented an epidemic model with spatial diffusion and time delay. By mathematical analysis, we find two different types of instability. One is the diffusion induced instability, and the other one is delay induced instability. Moreover, we derive the corresponding patterns by performing a series of numerical simulations. The obtained results show that the interaction of diffusion and time delay may give rise to rich dynamics in epidemic systems.

Keywords: Epidemic model; Spatial diffusion; Time delay; Pattern formation (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:403:y:2014:i:c:p:100-109

DOI: 10.1016/j.physa.2014.02.025

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