Simplicial SIRS epidemic models with nonlinear incidence rates

2021 ◽  
Vol 31 (5) ◽  
pp. 053112
Author(s):  
Dong Wang ◽  
Yi Zhao ◽  
Jianfeng Luo ◽  
Hui Leng
Keyword(s):  
Incidence Rates ◽  
Epidemic Models ◽  
Nonlinear Incidence ◽  
Nonlinear Incidence Rates

scholarly journals Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates

2012 ◽  
Vol 218 (9) ◽  
pp. 5327-5336 ◽  
Author(s):  
Yoichi Enatsu ◽  
Eleonora Messina ◽  
Yoshiaki Muroya ◽  
Yukihiko Nakata ◽  
Elvira Russo ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Incidence Rates ◽  
Epidemic Models ◽  
Nonlinear Incidence ◽  
Sir Epidemic ◽  
Nonlinear Incidence Rates ◽  
Sir Epidemic Models

scholarly journals Analysis of Pine Wilt Disease Model with Nonlinear Incidence and Horizontal Transmission

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Muhammad Ozair
Keyword(s):  
Global Analysis ◽  
Horizontal Transmission ◽  
Disease Model ◽  
Pine Wilt Disease ◽  
Incidence Rates ◽  
Reproductive Number ◽  
Globally Asymptotically Stable ◽  
Nonlinear Incidence ◽  
Pine Wilt ◽  
Nonlinear Incidence Rates

The deterministic pine wilt model with vital dynamics to determine the equilibria and their stability by considering nonlinear incidence rates with horizontal transmission is analyzed. The complete global analysis for the equilibria of the model is discussed. The explicit formula for the reproductive number is obtained and it is shown that the “disease-free” equilibrium always exists and is globally asymptotically stable wheneverR0≤1. Furthermore, the disease persists at an “endemic” level when the reproductive number exceeds unity.

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