Global Stability of an epidemic model with vaccine involving stage structure

Abstract EN

In this paper a mathematical model that analytically as well as numerically the flow of infection disease in a population is proposed and studied.

It is assumed that the disease divided the population into five classes: immature susceptible individuals (S1) , mature individuals (S2 ) , infectious individual (I ), removal individuals (R) and vaccine population (V) .

The existence, uniqueness and boundedness of the solution of the model are discussed.

The local and global stability of the model is studied.

Finally the global dynamics of the proposed model is studied numerically.