Niongon R. Anongo

Department of Mathematics, American University of Nigeria schools-Charter, Yola, Nigeria

Sikari Hickson

Department of Biological Sciences, Adamawa State College of Education, Hong, Yola, Nigeria

Kulari Tanzamado O.

Department of Mathematics Education, Adamawa State Polytechnics, Yola, Nigeria

Galaya Tirah

Department of integrated Sciences, Adamawa State College of Education, Hong, Yola, Nigeria

Atimi Atinga

Department of Biological Science, American University of Nigeria schools-Charter, Yola, Nigeria

Alvary K. Kwala

Department of Mathematics, Adamawa State Polytechnics, Yola, Nigeria

DOI: https://doi.org/10.19184/cerimre.v7i1.44063

ABSTRACT 

This study deals with the analysis and the solution of incubation period in a disease model by adopting the mathematical model with incubation period of diseases and the mathematical model without the incubation period of diseases. In the model equations, we partitioned the population into Susceptible (S), Incubated (I), Infected (D) population. We have compared the model equations without incubation period with the model equation with incubation period by solving and incorporating the system of first order linear equations into fourth order Runge-kutta method which has better error accuracy for solving first order equations. Graphical results for incubation class show that the infectious diseases were fatal if immediate attention is not given to endemic villages and communities.

Keywords: SID Model, Incubation period, Runge-kutta method, numerical simulation, transmission.