On global stability of an HIV pathogenesis model with cure rate

2014 ◽  
Vol 38 (17) ◽  
pp. 4001-4018 ◽  
Author(s):  
Yoshiaki Muroya ◽  
Yoichi Enatsu
Keyword(s):  
Global Stability ◽  
Cure Rate ◽  
Hiv Pathogenesis

scholarly journals On dynamics of an HIV pathogenesis model with full logistic target cell growth and cure rate

2020 ◽  
Vol 12 (4) ◽  
pp. 198-212
Author(s):  
Bhagya Jyoti Nath ◽  
Kaushik Dehingia ◽  
Hemanta Kumar Sarmah ◽  
◽  
◽  
...  
Keyword(s):  
Cell Growth ◽  
Target Cell ◽  
Cure Rate ◽  
Hiv Pathogenesis

Global stability for a delayed multi-group SIRS epidemic model with cure rate and incomplete recovery rate

2015 ◽  
Vol 08 (04) ◽  
pp. 1550048 ◽  
Author(s):  
Yoshiaki Muroya ◽  
Toshikazu Kuniya
Keyword(s):  
Global Stability ◽  
Epidemic Model ◽  
Recovery Rate ◽  
Lyapunov Functional ◽  
Global Analysis ◽  
Endemic Equilibrium ◽  
Group Model ◽  
Cure Rate ◽  
Sirs Epidemic Model ◽  
Number Formula

In this paper, by applying Lyapunov functional approach, we establish a sufficient condition on the global stability of a "delayed" multi-group SIRS epidemic model with cure rate and incomplete recovery rate which does not depend on the delays and is an extension of the "light drug model" studied in the recent paper [Muroya, Li and Kuniya, Complete global analysis of an SIRS epidemic model with graded cure rate and incomplete recovery rate, J. Math. Anal. Appl. 410 (2014) 719–732] to a multi-group model. Applying a Lyapunov functional on total population of each compartment, we offer new techniques for the delayed system, how to prove the permanence, the existence of the endemic equilibrium and the global stability of disease-free equilibrium for the reproduction number [Formula: see text] and endemic equilibrium for [Formula: see text].

Tx Strategies Boost Onychomycosis Cure Rate

2010 ◽  
Vol 43 (20) ◽  
pp. 56
Author(s):  
BRUCE JANCIN
Keyword(s):  
Cure Rate
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