PROBLEM 24 - 0584: uses the modified Euler Write a FORTRAN program which method to simulate the growth of an isolated species from time t = 0 to t = tf, if the number of individuals at time t is N(t),...

Extracted text: PROBLEM 24 - 0584: uses the modified Euler Write a FORTRAN program which method to simulate the growth of an isolated species from time t = 0 to t = tf, if the number of individuals at time t is N(t), N(0) = No and the rate of %3D population change (per unit of time), N, is given by: N = [K + E(t) - N/M)N] %D (1) where K and M are positive constants and E(t) is a periodic forcing input resulting from seasonal cycles, given by: Case 1: E(t) is sinusoidal with amplitude = A, period = 21/w, and phase angle p. Case 2: E(t) is a pulse train of width w, height, h and period Pw, P, h, w > 0, and starting at time t = t1 .