Runge–Kutta pairs suited for SIR‐type epidemic models

Abstract

Modeling the infectious diseases concludes in systems of ordinary differential equations (ODEs). The compartments in these equations (e.g., the numbers of susceptible, infectious, or immunized individuals) change in time. The ODEs arriving in these models are quadratic. Thus, we may apply special type of Runge–Kutta (RK) pairs for solving them. Here, we construct a new RK pair of orders five and four that is special tuned for this type of ODEs. Its superiority over standard RK pairs from the literature is illustrated when applied to various epidemic models, valid in measuring COVID‐19 spread.

Penyelesaian Model Epidemi Sir Menggunakan Metode Runge-Kutta Orde Empat Dan Metode Adams-Bashforth-Moulton

“…Model SIR secara umum belum Dua metode yang akurat yang bisa digunakan untuk menyelesaikan model SIR adalah metode Runge-Kutta orde empat dan metode Adams-Bashforth-Moulton. Metode Runge-Kutta dan variasinya telah berhasil diterapkan dalam berbagai literatur [13][14][15][16]. Lebih lanjut, metode Adams-Bashforth-Moulton juga popular dalam berbagai masalah lain [17][18][19][20][21].…”