Global analysis of an epidemic model with vaccination
Li-Ming Cai1, Zhaoqing Li1, Xinyu Song1
1School of Mathematics and Statistics, Xinyang Normal University, Xinyang, 464000 China.
Abstract:
In this paper, an epidemic dynamical model with vaccination is proposed. Vaccination of both newborn and susceptible is included in the present model. The impact of the vaccination strategy with the vaccine efficacy is explored. In particular, the model exhibits backward bifurcations under the vaccination level, and bistability occurrence can be observed. Mathematically, a bifurcation analysis is performed, and the conditions ensuring that the system exhibits backward bifurcation are provided. The global dynamics of the equilibrium in the model are also investigated. Numerical simulations are also conducted to confirm and extend the analytic results.
Related Concept Videos
Steps in Outbreak Investigation
Statistical Methods for Analyzing Epidemiological Data
Causality in Epidemiology
Vaccinations
Exponential Equations for Modeling Growth
Principles of Disease Surveillance


