GLOBAL DYNAMICS OF AN SIQR EPIDEMIC MODEL WITH SPECIFIC NON-LINEAR INCIDENCE RATE INVOLVING VACCINATION AND ELIMINATION HYBRID STRATEGIES

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 158

Volume : 8 , Issue : 2
DOI:
Author :
Garima Saxena (Institute of Engineering & Technology, DAVV, Indore (M.P.), INDIA)
R. K. Sharma (Department of Mathematics, Govt. Holkar Science College, DAVV, Indore (M.P.), INDIA)
Chandrashekhar Chauhan (Institute of Engineering & Technology, DAVV, Indore (M.P.), INDIA)

Abstract

In this paper, we built up an epidemic model with vaccination, elimination, quarantine hybrid management strategies and a specific non-linear incidence rate feature (Susceptible, Infected, Quarantined and Recovered). There is a discussion of different points of equilibrium and their stability. In addition, some numerical simulations are also illustrated in our analytical results. Finally, there is a brief discussion about the position of all control strategies.

Keywords and Phrases

SIQR epidemic, vaccination, elimination, quarantine, stability, COVIDE-19.

A.M.S. subject classification

34D20, 34D23, 92B05, 92D30.

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