Article
Kyungpook Mathematical Journal 2020; 60(2): 319-334
Published online June 30, 2020
Copyright © Kyungpook Mathematical Journal.
Dynamics of Vaccination Model with Holling Type II Func- tional Response
Sumit Kaur Bhatia*, Sudipa Chauhan, Umama Nasir
Amity Institute of Applied Sciences, Amity University, U.P 201-313, India
e-mail : sumit2212@gmail.com and sudipachauhan@gmail.com
Amity Institute of Applied Sciences, Amity University, U.P 201-313, India
e-mail : umamanasir.93@gmail.com
Received: October 5, 2019; Revised: January 3, 2020; Accepted: February 10, 2020
We propose a mathematical model with Holling type II functional response, to study the dynamics of vaccination. In order to make our model more realistic, we have incorporated the recruitment of infected individuals as a continuous process. We have assumed that vaccination cannot be perfect and there is always a possibility of re-infection. We have obtained the existence of a disease free and endemic equilibrium point, when the recruitment of infective is not considered and also obtained the existence of at least one endemic equilibrium point when recruitment of infective is considered. We have proved that if
Keywords: equilibrium points, reproduction number, Holling type II functional, stability analysis, persistence