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- W2147822908 abstract "We analyze the global dynamics of a mathematical model for infectious diseases that progress through distinct stages within infected hosts with possibility of amelioration. An example of such diseases is HIV/AIDS that progresses through several stages with varying degrees of infectivity; amelioration can result from a host's immune action or more commonly from antiretroviral therapies, such as highly active antiretroviral therapy. For a general n-stage model with constant recruitment and bilinear incidence that incorporates amelioration, we prove that the global dynamics are completely determined by the basic reproduction number R(0). If R(0)≤1, then the disease-free equilibrium P(0) is globally asymptotically stable, and the disease always dies out. If R(0)>1, P(0) is unstable, a unique endemic equilibrium P* is globally asymptotically stable, and the disease persists at the endemic equilibrium. Impacts of amelioration on the basic reproduction number are also investigated." @default.
- W2147822908 created "2016-06-24" @default.
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- W2147822908 date "2008-04-01" @default.
- W2147822908 modified "2023-10-11" @default.
- W2147822908 title "Global dynamics of a staged-progression model with amelioration for infectious diseases" @default.
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- W2147822908 doi "https://doi.org/10.1080/17513750802120877" @default.
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