Spatial Pattern of an Epidemic Model with Cross-diffusion

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2008,（9）
• 页码范围: 3500-3503
• 页数: 4页
• 语种: 英文

摘要

Pattern formation of a spatial epidemic model with both serf- and cross-diffusion is investigated. From the Turing theory, it is well known that Thring 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 ana/ysis 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.