Pattern dynamics of a spatial epidemic model with time delay

Li-Peng Song, Rong-Ping Zhang , Li-Ping Feng and Qiong Shi

Applied Mathematics and Computation, 2017, vol. 292, issue C, 390-399

Abstract: The nonlinear incidence rate can explain the complicated infectious process of disease. And time delay describing the latent period widely exists in the process of disease contagion. In this paper, a spatiotemporal epidemic model with nonlinear incidence rate is investigated. In particular, we considered that the time delay is relatively small. In this case, the characteristic equation are derived, we obtain two mechanisms of instability of the positive constant stationary state, that is, One is the diffusion induced instability, and the other one is delay induced instability. Moreover, the results of numerical simulation validate our theoretical analyses. The obtained results may well catch some major features for epidemic models.

Keywords: Epidemic model; Spatial diffusion; Time delay; Pattern formation (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:292:y:2017:i:c:p:390-399

DOI: 10.1016/j.amc.2016.07.013

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