期刊
JOURNAL OF BIOLOGICAL SYSTEMS
卷 17, 期 1, 页码 141-152出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218339009002843
关键词
Epidemic model; Cross-diffusion; Pattern formation
In this paper, pattern formation of a spatial model with cross diffusion of the susceptible is investigated. We compute Hopf and Turing bifurcations for the model. In particular, the exact Turing domain is delineated in the parameter space. When the parameters are in that domain, a series of numerical simulations reveals that the typical dynamics of the infecteds class typically involves the formation of isolated groups, i.e., striped, spotted or labyrinthine patterns. Furthermore, spatial oscillatory and anti-phase dynamics of different spatial points were also found. These results demonstrate that cross diffusion of susceptibles may have great influence on the spread of the epidemic.
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