On the equilibrium points of a proposed SIMVW epidemic model with feedback vaccination effort

A SIMVW (involving susceptible human S, infectious human I, susceptible vector M, infectious vector V , and vaccinated human W subpopulations)— type malaria epidemic model which is coupled with the transmission mosquito vector host which consists of healthy and infectious subpopulations is proposed. The model incorporates also an optional vaccination effort on the susceptible which has a fefdback information on such a subpopulation. The dynamics, equilibria and basic reproduction number as well as their influence by the vaccination gain are studied. In particular, the model exhibits four disease- free possible equilibrium points.