科研之友
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摘要
The host migration is one of the important elements that cause the worldwide diffusion and outbreak of many vector-host diseases. In this paper, we formulate a patchy model to investigate the effect of host migration between two patches on the spread of a vector-host disease. The results of the paper show that the reproduction number R(0) is a threshold value that determines the uniform persistence and extinction of the disease. If the reproduction number R(0) < 1 the disease free equilibrium (DFE) is locally asymptotically stable. If the reproduction number R(0) > 1 then the DFE is unstable and the system is uniformly persistent. It is also shown that a unique endemic equilibrium, which exists when R(0) > 1, is locally stable if both regions are identical.
- 出版日期2011-3
- 单位南京理工大学
