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2013 An Epidemic Model for Tick-Borne Disease with Two Delays
Dan Li, Wanbiao Ma, Zhichao Jiang
J. Appl. Math. 2013: 1-11 (2013). DOI: 10.1155/2013/427621


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 0, which is a threshold quantity for stability of equilibria, is calculated. If 01, then the infection-free equilibrium is globally asymptotically stable, and this is the only equilibrium. On the contrary, if 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 0>1.


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Dan Li. Wanbiao Ma. Zhichao Jiang. "An Epidemic Model for Tick-Borne Disease with Two Delays." J. Appl. Math. 2013 1 - 11, 2013.


Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950670
MathSciNet: MR3138974
Digital Object Identifier: 10.1155/2013/427621

Rights: Copyright © 2013 Hindawi


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