322
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

Mathematical analysis of an epidemic model with isolation and optimal controls

, &
Pages 1318-1336 | Received 04 Nov 2014, Accepted 27 Feb 2016, Published online: 22 Jun 2016
 

ABSTRACT

In this article, we consider a susceptible–infectious–recovered (SIR) type epidemic model with some isolation to the susceptible, treatment for infectives, and vaccination to the newly recruited individuals. The basic reproduction number R0 is obtained, and both the existence and stability of the disease-free and endemic equilibrium are discussed. We study the influence of isolation on infected individuals. We also study the existence of optimal control for both vaccination and treatment to minimize both the infected population and the costs required to control the disease. All the theoretical results are verified through numerical simulations and some of the key findings are given at the end of the article.

2000 AMS SUBJECT CLASSIFICATIONS:

Acknowledgement

We would like to thank the anonymous reviewers and Editor-in-chief of the journal Prof. Choi-Hong Lai for their constructive comments and useful suggestions to improve both the quality and presentation of the article.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Research of T. K. Kar is financially supported by the Council of Scientific and Industrial Research (CSIR), Government of India, [File No. 25(0224)/14/EMR-II, Dated: 2/12/2014].

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,129.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.