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

Example of log rules, Example of Log Rules: Y = ½ gt 2 where g = 32 ...

Example of Log Rules: Y = ½ gt 2 where g = 32 Solution: y = 16 t 2 Find y for t = 10 using logs. log y = log 10     (16 t 2 ) log 10 y = log 10 16 + log 10

Find the volume of ice cream cone, An ice-cream cone has a hemispherical to...

An ice-cream cone has a hemispherical top. If the height of the cone is 9 cm and base radius is 2.5 cm, find the volume of ice cream cone.

Find and classify the differential equation, Find and classify the equilibr...

Find and classify the equilibrium solutions of the subsequent differential equation. y' = y 2 - y - 6 Solution The equilibrium solutions are to such differential equati

Complex eigenvalues, It is the last case that we need to take a look at. Th...

It is the last case that we need to take a look at. Throughout this section we will look at solutions to the system, x?' = A x? Here the eigenvalues of the matrix A are compl

Recognize the importance of famous numbers, Activity This activity will ...

Activity This activity will help you recognize the importance of some very famous numbers, as well as learn more about approximations. Directions Using the Internet, provi

Solution to an initial value problem, S olve the subsequent IVP. dv/dt =...

S olve the subsequent IVP. dv/dt = 9.8 - 0.196v;               v(0) = 48 Solution To determine the solution to an Initial Value Problem we should first determine the gen

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