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

Explain how we converting fractions to percents, Explain how we Converting ...

Explain how we Converting Fractions to Percents ? To convert a fraction to a percent: 1. Convert the fraction to a decimal using long division. 2. Move the decimal point two p

.., the circumference of a circle C of radius r is given by C=2pR.taking p ...

the circumference of a circle C of radius r is given by C=2pR.taking p to be 22/7 a)find the circumference when the radius is 28 cm b)find the radius when the circumference is 484

Evaluate the subsequent inverse trigonometric functions, Evaluate the subse...

Evaluate the subsequent inverse trigonometric functions: Evaluate the subsequent inverse trigonometric functions. arcsin   0.3746 22° arccos  0.3746 69° arctan  0.383

Quantitative, The Laser Computer Printer Company decides monthly what to pr...

The Laser Computer Printer Company decides monthly what to produce during the subsequent month. They produce three types of printers, the Laser Rocket, the Alpha Laser, and the La

Linear equation, The sum of the digit number is 7. If the digits are revers...

The sum of the digit number is 7. If the digits are reversed , the number formed is less than the original number. find the number

Show that positive integers is divisible by 6, Show that the product of 3 c...

Show that the product of 3 consecutive positive integers is divisible by 6. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1

Find out the mean time, 1 . The probability that a couple will have a child...

1 . The probability that a couple will have a child with black hair is 0.6. If this couple has 7 children what is (a) the probability that exactly 3 of these children have bl

Determine the property of join in a boolean algebra, Determine that in a Bo...

Determine that in a Boolean algebra, for any a and b, (a Λ b) V (a Λ b' ) = a.  Ans: This can be proved either by using the distributive property of join over meet (or of mee

Demerits and merit-the mode, The mode Merits i.  This can be dete...

The mode Merits i.  This can be determined from incomplete data given the observations along with the highest frequency are already known ii.  The mode has some applic

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