scholarly journals Global Stability of a Caputo Fractional SIRS Model with General Incidence Rate

2020 ◽  
Author(s):  
Moulay Rchid Sidi Ammi ◽  
Mostafa Tahiri ◽  
Delfim F. M. Torres
Keyword(s):  
Global Stability ◽  
Incidence Rate ◽  
General Incidence Rate ◽  
Sirs Model

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.

scholarly journals Dynamical analysis of a diffusive SIRS model with general incidence rate

2020 ◽  
Vol 25 (7) ◽  
pp. 2433-2451
Author(s):  
Yu Yang ◽  
◽  
Lan Zou ◽  
Tonghua Zhang ◽  
Yancong Xu ◽  
...  
Keyword(s):  
Incidence Rate ◽  
Dynamical Analysis ◽  
General Incidence Rate ◽  
Sirs Model
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