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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.
A series is said to be in Arithmetic Progression (A.P.) if the consecutive numbers in the series differs by a constant value. This constant value is referre
The subsequent topic that we require to take a look at is the determinant of a matrix. The determinant is in fact a function that gets a square matrix and converts this in a number
from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 )dx = sqrt(1-x 2 )∫dx - ∫{(-2x)/2sqrt(1-x 2 )}∫dx ---->(INTEGRATION BY PARTS) = x√(1-x 2 ) - ∫-x 2 /√(1-x 2 ) Let
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The top of the new rectangular Big Gig Thingamajig is 80 inches long and 62 inches wide. What is the top''s perimeter?
Series - Special Series In this part we are going to take a concise look at three special series. In fact, special may not be the correct term. All three have been named th
1/4+1/2+1/2
Larry spends 3/4 hour twice a day walking and playing with his dog. He also spends 1/6 hour twice a day feeding his dog. How much time does Larry spend on his dog each day? Add
When Ms. Jones retired, she received a lump sum of $1,000,000 from her pension plan. She then invested this sum in an annuity account that would pay her an equal amount at the end
Inverse Cosine : Now see at inverse cosine. Following is the definition for the inverse cosine. y = cos -1 x ⇔ cos y = x for
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