BIOMATH, Mathematics

Assignment Help:
Ask quHarvesting prevents the population size of a species from attaining its natural carrying capacity. We can add harvesting to the logistic model by assuming that the per capita harvest rate is m per day in a population whose intrinsic growth rate is r per day and whose carrying capacity is K in the absence of harvesting. (a) Derive a differential equation describing the dynamics of the population size. (b) Determine the equilibria for this model. (c) Determine the stability of these equilibria. (d) What condition must hold for the population to persist? (e) What is the maximum allowable harvest rate that ensures that the population size will remain stable at a size greater than 1000, which is considered by some to represent a minimum viable population sizeestion #Minimum 100 words accepted#

Related Discussions:- BIOMATH

Find probability simulation, A reliability system consists of 15 independen...

A reliability system consists of 15 independent components. The probability that a component works is 0.9 for each. The system works if at least 11 of the components work. Fi

College Algebra, Find the center and radius of the circle whose equation is...

Find the center and radius of the circle whose equation is 3 x^2 - 8 x+ 3 y^2+ 4 y+ 2 = 0

Mathematical model representing the total parking cost, John has a choice o...

John has a choice of using one of two parking garages when he visits downtown: Option1:  $8 an hour for the first two hours, then $2 and hour for each hour more than 2; or Op

Mechanical vibrations, While we first looked at mechanical vibrations we lo...

While we first looked at mechanical vibrations we looked at a particular mass hanging on a spring with the possibility of both a damper or/and external force acting upon the mass.

To calculate volume of cylinder which formula is used, Mimi is filling a te...

Mimi is filling a tennis ball can along with water. She wants to know the volume of the cylinder shaped can. Which formula will she use? The volume of a cylinder is π times the

Regression, Regression line drawn as Y=C+1075x, when x was 2, and y was 239...

Regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

Matlab, Help my matlab questions

Help my matlab questions

Infinite interval - improper integrals, Infinite Interval  - Improper Inte...

Infinite Interval  - Improper Integrals In this type of integral one or both of the limits that is upper limit and lower limit of integration are infinity.  In these cases the

Help, How do I solve step by step 7

How do I solve step by step 7

Solve:, A Cleaning solution has 40% vinegar. Find the amount of vinegar in ...

A Cleaning solution has 40% vinegar. Find the amount of vinegar in 32 ounces of the solution>

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