mathfoxandrabbit

# mathfoxandrabbit - The fox and rabbit model reflects two...

This preview shows pages 1–2. Sign up to view the full content.

The fox and rabbit model reflects two interdependent populations whose growths are defined by the current population of both the foxes and the rabbits. Our purpose is to define equations for the growth patterns, and investigate the relationships between the two populations. 1. a) In the absence of foxes, the rabbit population grows at a constant per capita rate. This can be expressed by the following differential equation: dR dt = C 1 R where the upward arrow indicates that this refers only to the increasing portion of growth rate. b) The population of rabbits declines at a rate proportional to the product RF. This seems reasonable because the growth rate of rabbits would decrease when there are more foxes, because more foxes eat more rabbits. The decrease in growth rate should also be dependent on the rabbit population, because when there are more rabbits, more rabbits are likely to die of natural causes. This equation can be expressed as follows: dR dt = C 2 RF

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern