- Dt 8 A Consider The Malthusian Growth Model For A Particular Animal That Has Recently Colonized Some Region Dp 0 2p 1 (78.71 KiB) Viewed 20 times
this is all one all problem
dt 8. a. Consider the Malthusian growth model for a particular animal that has recently colonized some region dP = 0.2P, P(0) = 100, where t is in years. Solve this differential equation and determine how long it takes for this population to double. b. Because of habitat encroachment, this animal is losing its range for expansion. This results in a growth rate that is time dependent. Suppose that the population satisfies the modified Malthusian growth model dP = (0.2 - 0.02 t) P, P(0) = 100. dt Solve this differential equation. c. Find the maximum of this population and what year this occurs. Also, determine when the population returns to 100. Sketch a graph for this population.