Analysis of Numerical Stability and Step Size Bounds of the Fourth-Order Runge-Kutta in Solving the SEIR Epidemiological Model

https://doi.org/10.65770/BCLG4677 ABSTRACT Mathematical modeling, particularly the SEIR (Susceptible, Exposed, Infected, Recovered) compartmental model, has become an essential tool for understanding the dynamics of infectious disease spread. However, the resulting system of nonlinear ordinary differential equations (ODE) generally lacks analytical solutions, thus requiring numerical approaches.…