Analyzing Global Stability of the Delay Viral Model with General Incidence Rate

2016 ◽  
Vol 24 (3) ◽  
pp. 319-328
Author(s):  
Hong Yang
Keyword(s):  
Global Stability ◽  
Incidence Rate ◽  
General Incidence Rate

scholarly journals Global stability of a distributed delayed viral model with general incidence rate

2018 ◽  
Vol 16 (1) ◽  
pp. 1374-1389
Author(s):  
Eric Ávila-Vales ◽  
Abraham Canul-Pech ◽  
Erika Rivero-Esquivel
Keyword(s):  
Immune Response ◽  
Viral Infection ◽  
Global Stability ◽  
Numerical Simulations ◽  
Incidence Rate ◽  
Existence And Uniqueness ◽  
Lyapunov Functional ◽  
Infection Model ◽  
General Incidence Rate ◽  
Viral Infection Model

AbstractIn this paper, we discussed a infinitely distributed delayed viral infection model with nonlinear immune response and general incidence rate. We proved the existence and uniqueness of the equilibria. By using the Lyapunov functional and LaSalle invariance principle, we obtained the conditions of global stabilities of the infection-free equilibrium, the immune-exhausted equilibrium and the endemic equilibrium. Numerical simulations are given to verify the analytical results.

Global stability of a diffused SIR epidemic model with general incidence rate and time delay

2016 ◽  
Vol 10 ◽  
pp. 807-816
Author(s):  
El Mehdi Lotfi ◽  
Mehdi Maziane ◽  
Marouane Mahrouf ◽  
Khalid Hattaf ◽  
Noura Yousfi
Keyword(s):  
Time Delay ◽  
Global Stability ◽  
Incidence Rate ◽  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
General Incidence Rate
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