scholarly journals An application of a novel geometric criterion to global-stability problems of a nonlinear SEIVS epidemic model

2021 ◽  
Author(s):  
Xingyu Wang ◽  
Zhijun Liu ◽  
Lianwen Wang ◽  
Caihong Guo ◽  
Huili Xiang
Keyword(s):  
Global Stability ◽  
Epidemic Model ◽  
Geometric Criterion ◽  
Stability Problems

Global stability of an epidemic model with age-dependent vaccination, latent and relapse

2017 ◽  
Vol 105 ◽  
pp. 195-207 ◽  
Author(s):  
Yingke Li ◽  
Zhidong Teng ◽  
Cheng Hu ◽  
Qing Ge
Keyword(s):  
Global Stability ◽  
Epidemic Model ◽  
Age Dependent

scholarly journals An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination

2014 ◽  
Vol 24 (3) ◽  
pp. 635-646 ◽  
Author(s):  
Deqiong Ding ◽  
Qiang Ma ◽  
Xiaohua Ding
Keyword(s):  
Numerical Simulation ◽  
Global Stability ◽  
Difference Equations ◽  
Epidemic Model ◽  
Lyapunov Functions ◽  
Numerical Solutions ◽  
Time Step ◽  
The Stability ◽  
Nsfd Scheme ◽  
Nonstandard Finite Difference

Abstract In this paper, a NonStandard Finite Difference (NSFD) scheme is constructed, which can be used to determine numerical solutions for an epidemic model with vaccination. Here the NSFD method is employed to derive a set of difference equations for the epidemic model with vaccination. We show that difference equations have the same dynamics as the original differential system, such as the positivity of the solutions and the stability of the equilibria, without being restricted by the time step. Our proof of global stability utilizes the method of Lyapunov functions. Numerical simulation illustrates the effectiveness of our results

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