# diffeq

posted by .

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?

## Similar Questions

1. ### diffeq

Suppose a species of fish in a particular lake has a population that is modeled by the logistic population model with growth rate k, carrying capacity N, and time t measured in years. Suppose the growth-rate parameter k=.3 and the …
2. ### POPULATION

If a population consists of 10,000 individuals at time t=0 years (P0), and the annual growth rate (excess of births over deaths) is 3% (GR), what will the population be after 1, 15 and 100 years (n)?
3. ### Math

Suppose that a country's population is 64 million and its population growth rate is 3.7% per year. If the population growth follows a logistic growth model with r=.053, what is the country;s carrying capacity?
4. ### Math

Suppose that a country's population is 64 million and its population growth rate is 3.7% per year. If the population growth follows a logistic growth model with r=.053, what is the country;s carrying capacity?
5. ### Math

Suppose that a country's population is 64 million and its population growth rate is 3.7% per year. If the population growth follows a logistic growth model with r=.053, what is the country's carrying capacity?
6. ### Math

According to the U.S Bureau of Census in the year 1850 the population of the US was 23,191,876 in 1900 the population was 62,947,714 A. Assuming that the population grew exponentially during the period compute the growth constant k. …
7. ### Biology

Suppose that a species of toads is introduced into a new environment in an attempt to reduce the population of insects. The toad has no natural predators in the new environment. The toad population would most likely?
8. ### math

2. A bacteria population grows exponentially with growth rate k=2.5 how long it would take for the bacteria population to double its size?
9. ### Calculus

The CIA published data about foreign countries on its web page. In particular they show total population as well as population growth. If a student is looking at Russia, they will see that the total population of Russia is declining. …
10. ### Science

1. Kudzu, a nonnative species, was brought to Georgia for decorative purposes. It is a vine that grows quickly and covers anything in its path. It can also grow on trees and block the sunlight. How is kudzu an environmental issue for …

More Similar Questions