A Simple Sirs Mathematical Model with Mass Action Type Incidence

Amit Kumar¹ , Pardeep Porwal² , V. H. Badshah³

1. School of Studies in Mathematics, Vikram University, Ujjain, India.
2. School of Studies in Mathematics, Vikram University, Ujjain, India.
3. School of Studies in Mathematics, Vikram University, Ujjain, India.

Correspondence should be addressed to: amit0830@gmail.com.

Section:Research Paper, Product Type: Isroset-Journal
Vol.4 , Issue.5 , pp.9-12, Oct-2017

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v4i5.912

Online published on Oct 30, 2017

Copyright © Amit Kumar, Pardeep Porwal, V. H. Badshah . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper a simple SIRS mathematical model with mass action type incidence is formulated and studied. Steady state, equilibrium point and the basic reproduction number are obtained for the system of differential equation. Existence and stability of the diseases free and endemic stages are investigated. An example is also furnished which demonstrates validity of main result.

Key-Words / Index Term :
Mathematical Model, Equilibrium point, Stability, Incidence

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