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Spatial Pattern of an Epidemic Model with Cross-diffusion |
| LI Li, JIN Zhen, SUN Gui-Quan |
| Department of Mathematics, North University of China, Taiyuan 030051 |
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| Cite this article: |
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LI Li, JIN Zhen, SUN Gui-Quan 2008 Chin. Phys. Lett. 25 3500-3503 |
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Abstract Pattern formation of a spatial epidemic model with both self- and cross-diffusion is investigated. From the Turing theory, it is well known that Turing pattern formation cannot occur for the equal self-diffusion coefficients. However, combined with cross-diffusion, the system will show emergence of isolated groups, i.e., stripe-like or spotted or coexistence of both, which we show by both mathematical analysis and numerical simulations. Our study shows that the interaction of self- and cross-diffusion can be considered as an important mechanism for the appearance of complex spatiotemporal dynamics in epidemic models
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| Keywords:
87.23.Cc
82.40.Ck
05.45.Pq
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Received: 13 May 2008
Published: 29 August 2008
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