PROBLEM 24 - 0590: uses the modified Euler Write a FORTRAN program which method to simulate the competition of two species of population, N1 (t) and N2(t), isolated from the environment, from time t =...

Extracted text: PROBLEM 24 - 0590: uses the modified Euler Write a FORTRAN program which method to simulate the competition of two species of population, N1 (t) and N2(t), isolated from the environment, from time t = 0 to t = tf, if it is observed that: N1 = (A1 - K11N1 - K12N2) (1) N2 = (A2 - K21N, - K22N2) (2) where N,N, are the time rates of %3D N1 %D N1 change of N1(t) and N2(t), respectively. A, and A2 are positive constants involving natural birth/death rates for each species when isolated. The Ki j are positive constants involving cross-effects between species. Initially, N1(0) = N10, and %3D N2(0) = N20 -