期刊
JOURNAL OF MATHEMATICAL BIOLOGY
卷 77, 期 6-7, 页码 1871-1915出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00285-018-1227-9
关键词
Two-group epidemic model; Basic reproduction number; Time delay; Constant recruitment; Traveling wave solutions
资金
- NNSF of China [11371179]
- NSF [DMS-1412454]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1412454] Funding Source: National Science Foundation
Host heterogeneity can be modeled by using multi-group structures in the population. In this paper we investigate the existence and nonexistence of traveling waves of a two-group SIR epidemic model with time delay and constant recruitment and show that the existence of traveling waves is determined by the basic reproduction number there exists a minimal wave speed such that for each there exists no nontrivial traveling wave satisfying the system; (ii) when the system admits no nontrivial traveling waves. Finally, we present some numerical simulations to show the existence of traveling waves of the system.
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