@article{Ogunsola_Adebimpe_Popoola_2014, title={Dynamical analysis of an epidemic model with saturated incidence rate and vaccination}, volume={2}, url={https://sciencepubco.com/index.php/IJAMS/article/view/3363}, DOI={10.14419/ijams.v2i3.3363}, abstractNote={An epidemic model with saturated incidence rate and vaccination is investigated. The model exhibits two equilibria namely disease-free and endemic equilibria. It is shown that if the basic reproduction number (R0) is less than unity, the disease-free equilibrium is locally asymptotically stable and in such case, the endemic equilibrium does not exist. Also, it is shown that if R0 &gt; 1, the disease is persistent and the unique endemic equilibrium of the system with saturation incidence is locally asymptotically stable. Lyapunov function and Dulacâ€™s criterion plus Poincare-Bendixson theorem are applied to prove the global stability of the disease-free and endemic equilibria respectively. The effect of vaccine in the model is critically looked into.}, number={3}, journal={International Journal of Advanced Mathematical Sciences}, author={Ogunsola, Amos and Adebimpe, Olukayode and Popoola, Bolaji}, year={2014}, month={Dec.}, pages={137–143} }