Open AccessThe Impact of Vaccination on Covid-19 Disease Transmission Patterns in a Human Population: A Theoretical Analysis
Author(s) -
A. B. Okrinya,
C. N. Timinibife
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i1030332
Subject(s) - vaccination , basic reproduction number , disease , transmission (telecommunications) , ordinary differential equation , covid-19 , population , construct (python library) , disease transmission , econometrics , epidemic model , mathematics , biology , medicine , virology , computer science , differential equation , environmental health , infectious disease (medical specialty) , mathematical analysis , telecommunications , pathology , programming language
We construct a Mathematical model that describes the effect of vaccination on the dynamics of the transmission of COVID-19 disease in a human population. The model is a system of ordinary differential equations that describes the evolution of humans in a range of Covid-19 states due to emergence of an index case in a disease free region. The analysis of the model shows that effective vaccination can lead to disease eradication, where in the disease free state is locally asymptomatically stable if the basic reproductive number, and unstable when The numerical simulations suggests the use of other social measures alongside vaccination in order to avert the possibility of the disease becoming endemic.