MODEL FOR CHEMOTHERAPY OF POLIOMYELITIS IN A VARYING POPULATION

*Nathan N., and Nathan C.

Department of Chemistry

Adamawa State University, Mubi, Nigeria

ABSTRACT

A mathematical model is developed for the solution of a non-linear deterministic model associated with the transmission dynamics of two polio subtypes in the presence of Oral Polio Vaccine (OPV) therapy. The model suggests the optimal level of OPV drug therapy coverage necessary to eradicate the disease in a given population. Unlike the Standard fourth –order Runge –Kutta method (RK4), which fails when certain parameter values and time steps are used in the discretizaion of the model. The new model to be developed gives table convergent numerical result for every time step.