Click for new scientific resources and news about Corona[COVID-19]

Paper Information

Journal:   MATHEMATICAL SCIENCES   December 2018 , Volume 12 , Number 4; Page(s) 313 To 320.
 
Paper: 

On the global stability of the endemic state in an epidemic model with vaccination

 
 
Author(s):  Parsamanesh Mahmood*, FARNOOSH RAHMAN
 
* Department of Mathematics, Faculty of Science, University of Zabol, Zabol, Iran
 
Abstract: 
This paper investigates an SIS epidemic model with variable population size including a vaccination program. Dynamics of the endemic equilibrium of the model are obtained, and it will be shown that this equilibrium exists and is locally asymptotically stable when  0 > 1. In this case, the disease uniformly persists, and moreover, using a geometric approach we conclude that the model is globally asymptotically stable under some conditions. Also, a numerical discussion is given to verify the theoretical results.
 
Keyword(s): SIS epidemic model,Vaccination,Endemic equilibrium,Global stability,Geometric approach
 
 
References: 
  • Not Registered.
  •  
  •  
 
Citations: 
 
+ Click to Cite.
APA: Copy

Parsamanesh, M., & FARNOOSH, R. (2018). On the global stability of the endemic state in an epidemic model with vaccination. MATHEMATICAL SCIENCES, 12(4), 313-320. https://www.sid.ir/en/journal/ViewPaper.aspx?id=668453



Vancouver: Copy

Parsamanesh Mahmood, FARNOOSH RAHMAN. On the global stability of the endemic state in an epidemic model with vaccination. MATHEMATICAL SCIENCES. 2018 [cited 2021June15];12(4):313-320. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=668453



IEEE: Copy

Parsamanesh, M., FARNOOSH, R., 2018. On the global stability of the endemic state in an epidemic model with vaccination. MATHEMATICAL SCIENCES, [online] 12(4), pp.313-320. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=668453.



 
  pdf-File
Yearly Visit 30
 
 
Latest on Blog
Enter SID Blog