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An epidemic model for tick-borne disease with two delays
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نویسنده
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li d. ,ma w. ,jiang z.
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منبع
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journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
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چکیده
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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 0 ≤1,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.©2013 dan li et al.
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آدرس
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department of applied mathematics,school of mathematics and physics,university of science and technology beijing, China, department of applied mathematics,school of mathematics and physics,university of science and technology beijing, China, department of applied mathematics,school of mathematics and physics,university of science and technology beijing, China
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Authors
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