scholarly journals Global stability of in-host viral models with humoral immunity and intracellular delays

2012 ◽  
Vol 36 (3) ◽  
pp. 1313-1322 ◽  
Author(s):  
Shifei Wang ◽  
Dingyu Zou
2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Yaping Wang ◽  
Fuqin Sun

A HIV-1 model with two distributed intracellular delays and general incidence function is studied. Conditions are given under which the system exhibits the threshold behavior: the disease-free equilibriumE0is globally asymptotically stable ifR0≤1; ifR0>1, then the unique endemic equilibriumE1is globally asymptotically stable. Finally, it is shown that the given conditions are satisfied by several common forms of the incidence functions.


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