Posted by **josh** on Thursday, November 6, 2008 at 5:00am.

The scientists Verhulst (1828) and Peal (1930) proposed the following growth model for a population living in an environment with limited resources (e.g. space, food, sunlight, etc):

= ,

where is the natural growth rate of the population when resources are limited and is a positive constant called carrying capacity of the environment.

(a) Using sign analysis, find all constant solution and discuss the general behavior of solution.

(b) Solve the equation when Compute the limit as of your solution.

(c) Solve the equation when Compute the limit as of your solution.

(d) Discuss why is called carrying capacity.

. Model : Logistic Model I

Differential Equation :

General Solution :

Graph :

- math -
**bobpursley**, Thursday, November 6, 2008 at 5:29am
something is missing

## Answer This Question

## Related Questions

- math - The scientists Verhulst (1828) and Peal (1930) proposed the following ...
- math - The scientists Verhulst (1828) where is the natural growth rate of the ...
- Biology - 2. Which statement best explains the effect of resources on population...
- Biology - 2. Which statement best explains the effect of resources on population...
- Biology - 2. Which statement best explains the effect of resources on population...
- algebra - Pick a country of your choice that is experiencing population growth. ...
- Math - Suppose that a country's population is 64 million and its population ...
- Math - Suppose that a country's population is 64 million and its population ...
- Math - Suppose that a country's population is 64 million and its population ...
- algerbra - Pick a country of your choice that is experiencing population growth...

More Related Questions