scholarly journals Stability Analysis of an SEIR Model with Treatment

2017 ◽  
Vol 1 ◽  
Author(s):  
Soufiane Elkhaiar ◽  
Abdelilah Kaddar
2018 ◽  
Vol 954 ◽  
pp. 012018
Author(s):  
Syafruddin Side ◽  
Yulita Molliq Rangkuti ◽  
Dian Gerhana Pane ◽  
Marlina Setia Sinaga

2020 ◽  
Vol 139 ◽  
pp. 110072 ◽  
Author(s):  
Suwardi Annas ◽  
Muh. Isbar Pratama ◽  
Muh. Rifandi ◽  
Wahidah Sanusi ◽  
Syafruddin Side

2013 ◽  
Vol 21 (03) ◽  
pp. 1350023 ◽  
Author(s):  
B. DUBEY ◽  
ATASI PATRA ◽  
P. K. SRIVASTAVA ◽  
UMA S. DUBEY

In this study, an SEIR epidemic model is proposed for treatment of infectives considering the development of acquired immunity in recovered individuals. We employed two different types of treatment functions. Stability analysis for disease-free as well as endemic equilibria is performed. It is observed that the existence of unique endemic equilibrium depends on the basic reproductive number R0as well as on treatment rate. Numerical simulations are performed on the proposed models to support and analyze theoretical findings.


2021 ◽  
Vol 54 (1) ◽  
pp. 326-334
Author(s):  
Noor Badshah ◽  
Haji Akbar

Abstract We discussed stability analysis of susceptible-exposed-infectious-removed (SEIR) model for malaria disease through fractional order and check that malaria is epidemic or endemic in Khyber Pakhtunkhwa (Pakistan). We show that the model has two types of equilibrium points and check their stability through Routh-Hurwitz criterion. We find basic reproductive number using next-generation method. Finally, numerical simulations are also presented.


2014 ◽  
Vol 11 (11) ◽  
pp. 24-33 ◽  
Author(s):  
Wang Chao ◽  
Hu Yuanping ◽  
Liu Chengyuan ◽  
Liu Zhihong ◽  
Ma Jianfeng

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