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 %3D 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] (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, %3D 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 .
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 %3D 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] (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, %3D 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 .
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![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 .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d7c8d22-acf4-43d9-966d-9558ef5fb0d0%2Fe360a168-9681-4b82-8d40-fc5e9d7b9416%2Fltvvdap_processed.jpeg&w=3840&q=75)
Transcribed Image 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 .
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