Friday
September 19, 2014

Homework Help: Math

Posted by Jenny on Friday, April 20, 2012 at 8:06pm.

It is known that if the deer population falls below a certain level, m, then the deer will become extinct. It is also known that is the deer population goes above the maximum carrying capacity, M, the population will decrease to M.

(a) Discuss the reasonableness of the following model for the growth rate of the deer population as a function of time: dP/dt = kP(M-P)(P-m), where P is the population and k is a constant of proportionality.

(b) Explain how this growth rate model differs from the logistical model dP/dt = kp(M-P) Is it better or worse than the logistical model?

(c) Show that if P > M for all t, then the limit as P(t) approached infinity is M.

(d) Assuming m < P < M for all t, briefly explain the steps you would use to solve the differential equation.

(e) What are the equilibrium point of the model? Explain the dependence of the equilibrium level of P on the initial conditions. How many deer hunting permits should be issued?

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

MATH - A protected area was stocked with 1500 deer of a certain species in 1995...
math - The model N = 10(4+3t)/1.25 describes the number of deer (N) in a park t ...
algebra - Data from a deer count in forested area show that an estimated 3.16 x ...
physics - Three deer, A, B, and C, are grazing in a field. Deer B is located 63....
physics - Three deer, A, B, and C, are grazing in a field. Deer B is located 61....
math - 1. To determine the number of deer in a game preserve, a conservationist ...
science - why do you think the deer population was only 4,00 in 1905 when the ...
math - To determine the number of deer in a game preserve, a conservationist ...
Math word problems - To determine the number of deer in a game preserve, a ...
algebra - To determine the number of deer in a game preserve, a conservationist ...

Search
Members