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

scholarly journals Dynamics of an SIR epidemic model incorporating time delay and convex incidence rate

2021 ◽  
pp. 105025
Author(s):  
Haojie Yang ◽  
Yougang Wang ◽  
Soumen Kundu ◽  
Zhiqiang Song ◽  
Zizhen Zhang
Keyword(s):  
Time Delay ◽  
Incidence Rate ◽  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Sir Epidemic

scholarly journals An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Mingming Li ◽  
Xianning Liu
Keyword(s):  
Time Delay ◽  
Incidence Rate ◽  
Epidemic Model ◽  
Transmission Function ◽  
Basic Reproductive Number ◽  
Reproductive Number ◽  
Sir Epidemic Model ◽  
Nonlinear Incidence Rate ◽  
Nonlinear Incidence ◽  
Sir Epidemic

An SIR epidemic model with nonlinear incidence rate and time delay is investigated. The disease transmission function and the rate that infected individuals recovered from the infected compartment are assumed to be governed by general functionsF(S,I)andG(I), respectively. By constructing Lyapunov functionals and using the Lyapunov-LaSalle invariance principle, the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium is obtained. It is shown that the global properties of the system depend on both the properties of these general functions and the basic reproductive numberR0.

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