The Analysis and the Solution of Incubation Period in a Disease Model

Anongo Niongon Reuben; Sikari Hickson; Kulari Tanzamado O.; Galaya Tirah; Atimi Atinga; Alvary K. Kwala

doi:10.19184/cerimre.v7i1.44063

Anongo Niongon Reuben 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.