Cross diffusion-induced pattern in an SI model

摘要

In this paper, a spatial SI epidemic model with self and cross diffusion is investigated. For the no cross diffusion system, there is no Turing pattern in the spatially extended model with equal self diffusion coefficients. While considering cross diffusion of the susceptible, we obtain typical Turing patterns. The results well enrich the finding in the epidemic model and may well explain the field observed in other areas.