EFFECTIVE CONTROL OF QUARANTINE OF INFECTED INDIVIDUALS IN REDUCING THE SPREAD OF CONTAGIOUS DISEASES.

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand, Iran.

Abstract

Our primary objective is to develop a regulated mathematical model for studying the dynamics of
communicable disease transmission. By implementing a control that minimizes a cost function, considering
the impacts of the illness as well as the costs associated with control, health, and quarantine
measures, we aim to reduce the number of infections. To evaluate the effectiveness of the control, we
will compare the outcomes of both uncontrolled and controlled scenarios. We will also analyze key
characteristics of the model concerning threshold values, investigating aspects such as the boundaries
and positivity of the solutions within a biological context. Additionally, we will assess the local and
global behavior of the system about its equilibrium points.

Keywords

Main Subjects



Articles in Press, Accepted Manuscript
Available Online from 29 May 2026
  • Receive Date: 21 August 2025
  • Revise Date: 12 May 2026
  • Accept Date: 25 May 2026