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Global stability of a HIV -1 epidemic model with time delay and saturation incidence rate
Author(s): 
Pages: 26-29,38
Year: Issue:  4
Journal: Acta Scientiarum Naturalium Universitatis Sunyatseni

Keyword:  time delaysaturation incidence rateHIV -1 epidemic modelglobal stabilityLyapunov functions;
Abstract: A HIV -1 epidemic model with time delay and saturation incidence rate is proposed.The global stabilities of a disease-free equilibrium E0 (T0 ,0,0)and a positive equilibrium E+ (T*,I*,V*) are discussed.By constructing Lyapunov functions and LaSalle’s invariant principle,it is shown that ifdμ>sγβ,the disease-free equilibrium E0 (T0 ,0,0)is globally asymptotically stable,and if dμ
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