Periodic solutions in an epidemic model with diffusion and delay

Pan-Ping Liu

Applied Mathematics and Computation, 2015, vol. 265, issue C, 275-291

Abstract: A spatial diffusion SI model with delay and Neumann boundary conditions are investigated. We derive the conditions of the existence of Hopf bifurcation in one dimension space. Moreover, we analyze the properties of bifurcating period solutions by using the normal form theory and the center manifold theorem of partial functional differential (PFDs) equations. By numerical simulations, we found that spatiotemporal periodic solutions can occur in the epidemic model with spatial diffusion, which verifies our theoretical results. The obtained results show that interaction of delay and diffusion may induce outbreak of infectious diseases.

Keywords: Hopf bifurcation; Epidemic models; Time delay; Spatial diffusion (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:275-291

DOI: 10.1016/j.amc.2015.05.028

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