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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 216

Volume : 18 , Issue : 1
DOI:
Author :
S. Vaidya (School of Studies in Mathematics, Vikram University, Ujjain - 456010, Madhya Pradesh, INDIA)
V. Gupta (Department of Mathematics, Govt. Madhav Science College, Ujjain - 456001, Madhya Pradesh, INDIA)
S. K. Tiwari (School of Studies in Mathematics, Vikram University, Ujjain - 456010, Madhya Pradesh, INDIA)
P. Porwal (School of Studies in Mathematics, Vikram University, Ujjain - 456010, Madhya Pradesh, INDIA)

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 model, Routh - Herwitz criterion, Lyapunov function, Dulac’s criterion, Stability.

A.M.S. subject classification

92D30, 93D05, 34D23.

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