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Stability Analysis of a Delayed HIV/AIDS Epidemic Model with Treatment and Vertical Transmission 被引量:1

Stability Analysis of a Delayed HIV/AIDS Epidemic Model with Treatment and Vertical Transmission
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摘要 A delayed HIV/AIDS epidemic model with treatment and vertical transmission is investigated. The model allows some infected individuals to move from the symptomatic phase to the asymptomatic phase;next generation of infected individuals may be infected and it will take them some time to get maturity and infect others. Mathematical analysis shows that the global dynamics of the spread of the HIV/AIDS are completely determined by the basic reproduction number R0 for our model. If R0 R0 > 1. A delayed HIV/AIDS epidemic model with treatment and vertical transmission is investigated. The model allows some infected individuals to move from the symptomatic phase to the asymptomatic phase;next generation of infected individuals may be infected and it will take them some time to get maturity and infect others. Mathematical analysis shows that the global dynamics of the spread of the HIV/AIDS are completely determined by the basic reproduction number R0 for our model. If R0 R0 > 1.
出处 《Applied Mathematics》 2015年第10期1781-1789,共9页 应用数学(英文)
关键词 HIV/AIDS EPIDEMIC Model VERTICAL Transmission Basic REPRODUCTION Number Time Delay HIV/AIDS Epidemic Model Vertical Transmission Basic Reproduction Number Time Delay
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