%0 Journal Article
%T Existence and global behaviour of solutions of a nonlinear system modelling some epidemic diseases
%A Cakan, U.
%A Laz, E.
%J Mathematics in Natural Science
%D 2021
%V 7
%N 1
%@ ISSN 2600-7665
%F Cakan2021
%X In this study, we introduce a new mathematical model with a vaccination
strategy in which different levels of susceptibility of individuals to an
epidemic are considered. This model, which also takes into account
the latent period, consists of a delay differential equation system.
After showing the uniqueness of solution of the system, we present the equilibrium points of the model and the reproduction
number \(\mathcal{R}_{0}\) which is a vital threshold in spread of diseases.
Then by using Lyapunov function and LaSalle Invariance Principle \cite
LaSalle, we give some results about the global stabilities of the equilibrium
points ofthe model according to \(\mathcal{R}_{0}\).
%9 journal article
%R 10.22436/mns.07.01.03
%U http://dx.doi.org/10.22436/mns.07.01.03
%P 26--40