EQUILIBRIUMS AND STABILITY OF AN SVIR EPIDEMIC MODEL WITH NON LINEAR SATURATED INCIDENCE
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 147
DOI:
Author :
Monika Badole (School of Studies in Mathematics, Vikram University, Ujjain, Madhya Pradesh - 456010, INDIA)
S. K. Tiwari (School of Studies in Mathematics, Vikram University, Ujjain, Madhya Pradesh - 456010, INDIA)
Aayush Sharma (Department of Mechanical, Maulana Azad National Institute of Technology, Bhopal, Madhya Pradesh - 462003, INDIA)
Abstract
Vaccination is most essential for the elimination of infectious diseases. This paper investigates a susceptible-vaccinated-infectious-recovered epidemic model with a non-linear saturated incidence rate for infectious disease dynamics, including the role of preventive vaccine is proposed and analyzed. Incoming immigrants are proposed in this model. A model for the transmission dynamics of infectious disease has been studied and presented this model's equilibrium points. The model shows the disease-free and endemic equilibrium.
Keywords and Phrases
SVIR epidemic model, Reproduction number, Endemic Equilibrium, Diseases Free Equilibrium, Stability analysis.
A.M.S. subject classification
92D25, 49J15, 93D20, 92D30, 34D23, 93A30.
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