Vaccination Dynamics of Chickenpox in Agona West Municipality of Ghana
Ahmed Baffoe Esson
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
William Obeng-Denteh *
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
Benedict Barnes
School of Agriculture and Bio-resources Engineering, Anglican University College of Technology, Nkoranza, Ghana.
Godfrey E. Ntherful
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana.
*Author to whom correspondence should be addressed.
Abstract
The study showed that chickenpox cases in recent times have increased in Agona West Municipality with R0=2. We estimated the reproductive number of chickenpox with vaccination to be R0=0.3<1. This showed that after vaccination, the disease will die out. It was estimated that 46.2% corresponding to 53,241 of the people needs to be vaccinated in order to control the chickenpox. The stability analysis of disease free and endemic equilibrium point of chickenpox transmission with vaccination was estimated to be unstable and asymptotically stable. Sensitivity analysis of the SEIR model with vaccination showed that when vaccination rate coefficient is increased chickenpox will be under control.
Keywords: Chickenpox, equilibrium point, transmission, stability, vaccination, Varicella-Zoster-Virus (VZV)