T-S fuzzy modeling and control for a class of epidemic system with nonlinear incidence rates

Author(s):  
Chunling Chang ◽  
Yuanwei Jing
2021 ◽  
Author(s):  
Kazem Zare ◽  
Mokhtar Shasadeghi ◽  
Afshin Izadian ◽  
Taher Niknam ◽  
Mohammad Hassan Asemani

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Muhammad Ozair

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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