Abstract
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 , which is a threshold quantity for stability of equilibria, is calculated. If , then the infection-free equilibrium is globally asymptotically stable, and this is the only equilibrium. On the contrary, if , 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 .
Citation
Dan Li. Wanbiao Ma. Zhichao Jiang. "An Epidemic Model for Tick-Borne Disease with Two Delays." J. Appl. Math. 2013 1 - 11, 2013. https://doi.org/10.1155/2013/427621