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

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.