GLOBAL STABILITY OF AN HIV/AIDS MODEL WITH STOCHASTIC PERTURBATION
2011 ◽
Vol 04
(02)
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pp. 349-358
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Keyword(s):
In this paper, we investigate the dynamic behavior of an HIV model with stochastic perturbation. Firstly, in ODE model, the disease-free equilibrium E0 is globally asymptotically stable if the basic reproductive number R0 < 1. When R0 > 1, the endemic equilibrium E* is globally asymptotically stable. Secondly, the criterion for robustness of the system is established under stochastic perturbations. The conditions of stochastic stability of the endemic equilibrium E* are obtained. Finally, we simulate our analytical results.
2017 ◽
Vol 82
(5)
◽
pp. 945-970
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2014 ◽
Vol 07
(05)
◽
pp. 1450054
◽
2012 ◽
Vol 2012
◽
pp. 1-13
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2020 ◽
Vol 13
(3)
◽
pp. 549-566
2017 ◽
Vol 10
(02)
◽
pp. 1750030
◽