期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 403, 期 -, 页码 100-109出版社
ELSEVIER
DOI: 10.1016/j.physa.2014.02.025
关键词
Epidemic model; Spatial diffusion; Time delay; Pattern formation
资金
- National Natural Science Foundation of China [11301490, 11331009, 11147015, 11171314, 11305043, 11105024]
- Natural Science Foundation of Shan'Xi Province [2012021002-1]
- specialized research fund for the doctoral program of higher education [20121420130001]
One of the central issues in epidemiology is the study of the distribution of disease. And time delay widely exists in the process of disease spread. Thus, in this paper, we presented an epidemic model with spatial diffusion and time delay. By mathematical analysis, we find two different types of instability. One is the diffusion induced instability, and the other one is delay induced instability. Moreover, we derive the corresponding patterns by performing a series of numerical simulations. The obtained results show that the interaction of diffusion and time delay may give rise to rich dynamics in epidemic systems. (c) 2014 Elsevier B.V. All rights reserved.
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