More and more seafood is being farm-raised these days. A model (differential equation) used for the rate of change for a fish population, P(t) in farming ponds is given by P'(t) = b(1-(P(t)/Pm)) - hP(t) where b is the birth rate, PM is the maximum number of fish the pond can support, and h is the rate the fish are harvested. Write a python code that implements the Forward Euler method to solve the differential equation Suppose that the carrying capacity PM = 20, 000 fish with a birth rate of 6% and a harvesting rate of h = 0%, use your Python code to find and plot the numerical solution for the first 400 days for different values of y0. Pick y0 < 20, 000, y0 > 20, 000. Don’t forget to label all your plots with x and y axes label, titles and legends. Use a time step ∆t = 0.1
More and more seafood is being farm-raised these days. A model (differential
equation) used for the rate of change for a fish population, P(t) in farming
ponds is given by
P'(t) = b(1-(P(t)/Pm)) - hP(t)
where b is the birth rate, PM is the maximum number of fish the pond can
support, and h is the rate the fish are harvested.
Write a python code that implements the Forward Euler method to solve the
differential equation
Suppose that the carrying capacity PM = 20, 000 fish with a birth rate
of 6% and a harvesting rate of h = 0%, use your Python code to find
and plot the numerical solution for the first 400 days for different values
of y0. Pick y0 < 20, 000, y0 > 20, 000. Don’t forget to label all your plots
with x and y axes label, titles and legends. Use a time step ∆t = 0.1
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