ABSTRACT

We want to determine the solution X(t) of an ordinary differential equation (ODE) model given by a general function f t p X t( , , ( )), where p denotes the parameters,

d

d

X t

t f t p X t

( ) ( , , ( ))= (4.1)

and with a known initial condition, X0. The generality of this function emphasizes that the rate may depend on the time itself, a set of parameters, and the dependent variable. There are several numerical methods to solve ODEs such as Euler and Runge-Kutta (Swartzman and Kaluzny, 1987).