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

Authors

  • 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

Keywords:

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

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.

Downloads

Download data is not yet available.

Downloads

Published

2024-05-30

Issue

Vol. 7 No. 1 (2024): May

Section

Articles