Posted by **Mischa** on Sunday, February 22, 2009 at 9:27pm.

Let P(t) represent the population of a non-native species introduced to a new area for the purposes of harvesting. Suppose we intially introduce P0 = 100 indicidcuals and suppose the population grows exponentially with growth-rate coefficient k=2 if there is no harvesting (for example, suppose that there are no predators in the area, and there are ample resources). HOw should we manage the harvesting of the new species? in other words, how should we set the harvesting rate C in the model

dP/dt = k*P - C,

so that the population remains steady at P = 100,000 individuals? Can we use a particular harvesting rate forever, or will the rate have to be adjusted? How closely will we need to monitor the population?

## Answer This Question

## Related Questions

- Biology - Suppose that a species of toads is introduced into a new environment ...
- diffeq - Suppose a species of fish in a particular lake has a population that is...
- Algebra2 - The function f(t)=100,000/1+5000e^(-t) represents the population of ...
- Exponential Modeling - A species of frogâ€™s population grows 24% every year. ...
- math - A native wolf species has been reintroduced into a national forest. ...
- HS Calculus/math - suppose that in any given year, the population of a certain ...
- math - Suppose that the population of a town is described by P=0.16t^2=7.2t=100...
- algebra - neil was growin a culture of a bacteria for biology experiement. he ...
- algebra - neil was growing a culture of bacteria for a biology experiment. he ...
- Math - A city has a population of 30,000 people. Suppose that each year the ...

More Related Questions