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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 18, Issue 1 Article
Research Article

ANALYSIS AND MODELLING OF THE SEIR EPIDEMIC MODEL UNDER TREATMENT RATE USING HOMOGENEOUS TRANSMISSION FUNCTION

S
S. Vaidya School of Studies in Mathematics, Vikram University, Ujjain - 456010, Madhya Pradesh, INDIA
V
V. Gupta Department of Mathematics, Govt. Madhav Science College, Ujjain - 456001, Madhya Pradesh, INDIA
S
S. K. Tiwari School of Studies in Mathematics, Vikram University, Ujjain - 456010, Madhya Pradesh, INDIA
P
P. Porwal School of Studies in Mathematics, Vikram University, Ujjain - 456010, Madhya Pradesh, INDIA
Volume 18, Issue 1 Pages 419-430 April 30, 2022 320 downloads
Article overview

Abstract

This paper is a study of the SEIR mathematical epidemic model using homogeneous transmission function. We worked over the rate of treatment on infected and susceptible individuals to boost the recovery among them. The endemic equilibrium and disease free equilibrium are calculated with certain conditions for their existence. Stability of these points are tested based on available treatment situation. Analytical results are illustrated using numerical values.

Keywords and Phrases

Epidemic modelRouth - Herwitz criterionLyapunov functionDulac’s criterionStability.

AMS Subject Classification

92D30, 93D05, 34D23.

Reference information

How to Cite

S. Vaidya, V. Gupta, S. K. Tiwari, P. Porwal (2022). ANALYSIS AND MODELLING OF THE SEIR EPIDEMIC MODEL UNDER TREATMENT RATE USING HOMOGENEOUS TRANSMISSION FUNCTION. South East Asian Journal of Mathematics and Mathematical Sciences, 18(1), 419-430.
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