U. Cakan - Inonu University, Department of Mathematics, Malatya, Turkey. E. Laz - Ministry of Education, , Diyarbakir, Turkey.
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 \(\mathcal{R}_{0}\).
U. Cakan, E. Laz, Existence and global behaviour of solutions of a nonlinear system modelling some epidemic diseases, Mathematics in Natural Science, 7 (2021), no. 1, 26--40
Cakan U., Laz E., Existence and global behaviour of solutions of a nonlinear system modelling some epidemic diseases. Math. Nat. Sci. (2021); 7(1):26--40
Cakan, U., Laz, E.. "Existence and global behaviour of solutions of a nonlinear system modelling some epidemic diseases." Mathematics in Natural Science, 7, no. 1 (2021): 26--40
