Work

On the backward bifurcation of a vaccination model with nonlinear incidence

Year: 2011

Type: article

Abstract: A compartmental epidemic model, introduced by Gumel and Moghadas [1], is considered. The model incorporates a nonlinear incidence rate and an imperfect preventive vaccine given to susceptible individuals. A bifurcation analysis is performed by applying the bifurcation method introduced in [2], which is based on the use of the center manifold theory. Conditions ensuring the occurrence of backward bifurcation are derived. The obtained results are numerically validated and then discussed from both the mathematical and the epidemiological perspective.

Source: Nonlinear Analysis Modelling and Control

DOI: 10.15388/na.16.1.14113

Authors: B. Buonomo, D. Lacitignola

Institutions: University of Naples Federico II, Università degli studi di Cassino e del Lazio Meridionale

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: diamond

OpenAlex ID: W2971192076

FWCI: 5.711

Cites: 24

Cited by: 105

Related to: 10