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

Undamped - forced vibrations, We will firstly notice the undamped case. The...

We will firstly notice the undamped case. The differential equation under this case is, mu'' + ku  = F(t) It is just a non-homogeneous differential equation and we identify h

#algebra 2 .., encoded with the matrix -3 -7 and 4 9. what lights up a socc...

encoded with the matrix -3 -7 and 4 9. what lights up a soccer stadium? ecoded message: {-3 - 7} {3 2 } {3 6} {57 127} {52 127} {77 173} {23 51)

Iit-jee questions, can u tell me a website for iit-jee questions?

can u tell me a website for iit-jee questions?

Divisiblety test, find the greater value of a and b so that the following e...

find the greater value of a and b so that the following even numbers are divisible by both 3 and 5 : 2ab2a

The null hypothesis, The null hypothesis It is the hypothesis being tes...

The null hypothesis It is the hypothesis being tested, the belief of a specific characteristic for illustration, US Bureau of Standards may walk to a sugar making company along

What is the diameter of the pipe along with the insulation, A pipe has a di...

A pipe has a diameter of 2.5 inches. Insulation which is 0.5 inches thick is placed around the pipe. What is the diameter of the pipe along with the insulation around it? The i

Sketch a graph of the microphone signal, Figure shows noise results for a p...

Figure shows noise results for a prototype van measured on a rolling road. The vehicle had a four-cylinder-in-line engine. The engine speed was varied in 3rd gear from just above

Example to understand division means, My nephew had been introduced to divi...

My nephew had been introduced to division by his teacher Ms. Santosh, in Class 3. He, and several of his friends who had been taught by her, appeared to be quite comfortable with t

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