Population problem - nonhomogeneous systems, Mathematics

Assignment Help:

The next kind of problem seems as the population problem. Back in the first order modeling section we looked at several population problems. In such problems we noticed a single population and frequently involved some form of predation. The problem in this section was we supposed that the amount of predation would be constant. It though clearly won't be the case in most situations. The amount of predation will depend upon the population of the predators and the population of the predators will partially depend as least, upon the population of the prey.

Therefore, in order to more exactly (well at least more correct than what we originally did) we truly require to set up a model that will cover both populations, both the prey and the predator. These kinds of problems are usually termed as predator-prey problems. Now there are the assumptions as we'll make while we build up this model.

1. The prey will grow at a rate which is proportional to its recent population if there are no predators.

2. The population of predators will reduce at a rate proportional to its present population if there is no prey.

3. The number of encounters in between prey and predator will be proportional to the product of the populations.

4. Each encounter among the predator and prey will raise the population of the predator and reduce the population of the prey.


Related Discussions:- Population problem - nonhomogeneous systems

Problem solving involving quadratic equations, a painting is 20 cm wider th...

a painting is 20 cm wider than its height. its area is 2400 centimeter squared. find its lenght and width

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

How to add mixed numbers, Q. How to Add Mixed Numbers? Ans. If you...

Q. How to Add Mixed Numbers? Ans. If you have to add mixed numbers, you might try this method first: First rewrite the mixed number as a whole number plus a fracti

Power rule, Power rule: d(x n )/dx = nx n-1 There are really three ...

Power rule: d(x n )/dx = nx n-1 There are really three proofs which we can provide here and we are going to suffer all three here therefore you can notice all of them. T

Number sequence, what is the formula to find a sequence on a string of numb...

what is the formula to find a sequence on a string of numbers?

What is the difference in the two low temperatures, The low temperature in ...

The low temperature in Anchorage, Alaska present was -4°F. The low temperature in Los Angeles, California was 63°F. What is the difference in the two low temperatures? Visualiz

Theorem to computer the integral, Use green's theorem to computer the integ...

Use green's theorem to computer the integral F . dr where F = ( y^2 + x, y^2 + y) and c is bounded below the curve y= - cos(x),, above by y = sin(x) to the left by x=0 and to the r

Discrete mathmatics, give an example of a relation R that is transitive whi...

give an example of a relation R that is transitive while inverse of R is not

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd