科研之友
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摘要
We have considered an epidemic model of a tick-borne infection which has nonviraemic transmission in addition to the viremic transmission. The basic reproduction number R-0, which is a threshold quantity for stability of equilibria, is calculated. If R-0 <= 1, then the infection-free equilibrium is globally asymptotically stable, and this is the only equilibrium. On the contrary, if R-0 > 1, then an infection equilibrium appears which is globally asymptotically stable, when one time delay is absent. By applying a permanence theorem for infinite dimensional systems, we obtain that the disease is always present when R-0 > 1.
- 出版日期2013
- 单位北京科技大学
