Global stability of a class of virus dynamics models with general incidence rate and multitarget cells

2021 ◽  
Vol 136 (8) ◽  
Author(s):  
Taofeek O. Alade ◽  
Shafeek A. Ghaleb ◽  
Saud M. Alsulami
Keyword(s):  
Global Stability ◽  
Incidence Rate ◽  
Virus Dynamics ◽  
General Incidence Rate ◽  
Dynamics Models

Analysis of within-host CHIKV dynamics models with general incidence rate

2018 ◽  
Vol 11 (05) ◽  
pp. 1850062 ◽  
Author(s):  
Ahmed M. Elaiw ◽  
Taofeek O. Alade ◽  
Saud M. Alsulami
Keyword(s):  
Global Stability ◽  
Incidence Rate ◽  
Sufficient Conditions ◽  
Nonlinear Function ◽  
Steady States ◽  
Positive Steady States ◽  
Latently Infected ◽  
The Stability ◽  
Dynamics Models ◽  
Theoretical Results

In this paper we study the stability analysis of two within-host Chikungunya virus (CHIKV) dynamics models. The incidence rate between the CHIKV and the uninfected monocytes is modeled by a general nonlinear function. The second model considers two types of infected monocytes (i) latently infected monocytes which do not generate CHIKV and (ii) actively infected monocytes which produce the CHIKV particles. Sufficient conditions are found which guarantee the global stability of the positive steady states. Using the Lyapunov function, we established the global stability of the steady states of the models. The theoretical results are confirmed by numerical simulations.

scholarly journals Global Stability of Within-Host Virus Dynamics Models with Multitarget Cells

Mathematics ◽  
2018 ◽  
Vol 6 (7) ◽  
pp. 118 ◽  
Author(s):  
Ahmed Elaiw ◽  
Taofeek Alade ◽  
Saud Alsulami
Keyword(s):  
Global Stability ◽  
Virus Dynamics ◽  
Dynamics Models
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