Growth Of The Rat Population
Problem Statement
Two rats, one male and one female, have made their home on an abandoned island. Given ideal conditions can we estimate the number of offspring produced by the rats in one year? The ideal conditions were:
- The original female gives birth to six young on January 1. She produces another litter of six rats every 40 days thereafter as long as she lives.
- Each female rat born on the island will produce her first litter of six young 120 days after her birth. She will produce a new litter of six rate every 40 days thereafter.
- Every litter has three males and three females.
- The rats have no natural enemies on the island and plenty of food. This means no rats die in the first year.
Using these ideal conditions we must find how many rats will live on the island by the following January 1, including the original pair.
Process
This problem in my opinion was a problem that just needed some organization.
Two rats, one male and one female, have made their home on an abandoned island. Given ideal conditions can we estimate the number of offspring produced by the rats in one year? The ideal conditions were:
- The original female gives birth to six young on January 1. She produces another litter of six rats every 40 days thereafter as long as she lives.
- Each female rat born on the island will produce her first litter of six young 120 days after her birth. She will produce a new litter of six rate every 40 days thereafter.
- Every litter has three males and three females.
- The rats have no natural enemies on the island and plenty of food. This means no rats die in the first year.
Using these ideal conditions we must find how many rats will live on the island by the following January 1, including the original pair.
Process
This problem in my opinion was a problem that just needed some organization.