Analysis and Application of Mathematical modeling in Malaria Disease Control

Year : 2025 | Volume : 14 | Issue : 02 | Page : 19 25
    By

    Anju,

  • Akash Yadav,

  1. Student, Department of Mathematics, SALS, Uttaranchal University, Dehradun, Uttarakhand, India
  2. Student, Department of Mathematics, SALS, Uttaranchal University, Dehradun, Uttarakhand, India

Abstract

In this paper, we develop a mathematical model to analyze malaria transmission dynamics, as malaria is an infectious disease caused by the spread of progenitor parasites to humans through the bite of the female Anopheles mosquito. Mathematical models have long served as a framework for understanding and managing the impact of malaria, which has affected populations for over a century. Our model incorporates infected individuals who may recover and later lose immunity, thus reentering the susceptible class. The purpose of this model is to identify key factors that contribute to the rapid spread or reduction of the disease, and to explore new control strategies using mathematical tools. We employ a standard system of ordinary differential equations (ODEs) and propose a SEIR (Susceptible–Exposed–Infectious–Recovered) model to evaluate the outcomes of disease transmission and progression. A central feature of the model is the basic reproductive number, Ro, which plays a critical role in disease dynamics, if Ro 1, the disease persists in the population. Numerical simulations are presented to illustrate the theoretical findings and validate the model. The results provide valuable insights into how changes in transmission parameters can affect disease control. Overall, this study highlights the importance of mathematical modeling in predicting disease behavior and guiding effective intervention strategies.

Keywords: Malaria, equilibrium points, reproduction number, malaria, equilibrium points, numerical simulation, endemic model, reproduction number

[This article belongs to Research & Reviews : Journal of Statistics ]

How to cite this article:
Anju, Akash Yadav. Analysis and Application of Mathematical modeling in Malaria Disease Control. Research & Reviews : Journal of Statistics. 2025; 14(02):19-25.
How to cite this URL:
Anju, Akash Yadav. Analysis and Application of Mathematical modeling in Malaria Disease Control. Research & Reviews : Journal of Statistics. 2025; 14(02):19-25. Available from: https://journals.stmjournals.com/rrjost/article=2025/view=211490


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Regular Issue Subscription Review Article
Volume 14
Issue 02
Received 05/05/2025
Accepted 08/05/2025
Published 13/05/2025
Publication Time 8 Days
116

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