Nonlinear Dynamics

, Volume 77, Issue 1–2, pp 31–40 | Cite as

Pattern dynamics of an epidemic model with nonlinear incidence rate

Original Paper


All species live in space, and the research of spatial diseases can be used to control infectious diseases. As a result, it is more realistic to study the spatial pattern of epidemic models with space and time. In this paper, spatial dynamics of an epidemic model with nonlinear incidence rate is investigated. We find that there are different types of stationary patterns by amplitude equations and numerical simulations. The obtained results may well explain the distribution of disease observed in the real world and provide some insights on disease control.


Nonlinear incidence Spatial epidemic model Amplitudes equation Pattern selection 


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of MathematicsShihezi UniversityShiheziPeople’s Republic of China

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