A SEQIR Model for the Control of Spread of Re-Emerging Contagious Infectious Disease

Abhishek Kumar; Nilam

doi:https://doi.org/10.14445/22315373/IJMTT-V55P565

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 7 | Year 2018 | Article Id. IJMTT-V55P565 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P565

A SEQIR Model for the Control of Spread of Re-Emerging Contagious Infectious Disease

Abhishek Kumar, Nilam

Citation :

Abhishek Kumar, Nilam, "A SEQIR Model for the Control of Spread of Re-Emerging Contagious Infectious Disease," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 7, pp. 504-512, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P565

Abstract

It is well known that many infectious diseases like influenza, H1N1, and many more are periodic. Such type of diseases reappears in the society in either same or similar manner. Therefore, in this article, we proposed an SEQIR model by introducing the effective contact rate function to predict and control the spread of such types emerging and re-emerging contagious disease. Infectious diseases spread through close contact. Therefore, we formulate an effective contact rate function to control the spread of infectious diseases or an epidemic. Numerical simulation of the model has been performed with the help of fourth order Runge- Kutta method to illustrate the effect of our control strategy.

Keywords

Contagious infectious disease; SEQIR model; effective contact rate function; simulation; action time; control of infectious diseases.

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