Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate

Mahmood Parsamanesh and Majid Erfanian

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: In this paper, a discrete-time SIS epidemic model with vaccination is introduced. The stability of the model is analyzed in the equilibria, after obtaining some basic properties of the model, such as the equilibria, the basic reproduction number, and sufficient conditions for the positivity of solutions. Furthermore, the bifurcations of the model, fold bifurcation, flip bifurcation, and Neimark–Sacker bifurcation are studied. The numerical simulations verify the obtained theoretical results by discussing the diagrams of bifurcations, Lyapunov exponents, and solutions of the model.

Keywords: SIS epidemic model; Vaccination; Reproduction number; Bifurcation; Lyapunov exponent; Chaos (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005324

DOI: 10.1016/j.chaos.2021.111178

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