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

What is the probability in which she gets heads further flip, Jennifer ?ipp...

Jennifer ?ipped a coin three times and got heads each time. What is the probability in which she gets heads on the further ?ip? The probability of heads does not modify based o

Theorem, Theorem, from Definition of Derivative  If f(x) is differenti...

Theorem, from Definition of Derivative  If f(x) is differentiable at x = a then f(x) is continuous at x =a. Proof : Since f(x) is differentiable at x = a we know, f'(a

Simplification, 4.4238/[1.047+{1.111*[9.261/7.777]}*1.01

4.4238/[1.047+{1.111*[9.261/7.777]}*1.01

Area with parametric equations - polar coordinates, Area with Parametric Eq...

Area with Parametric Equations In this section we will find out a formula for ascertaining the area under a parametric curve specified by the parametric equations, x = f (t)

How to converting fractions to decimals explain with example, How to Conver...

How to Converting Fractions to Decimals explain with example? To convert fractions to decimals, divide the numerator by the denominator. The quotient is the decimal. Ex

Calenders, on which date of the week does 4th december 2001 falls?

on which date of the week does 4th december 2001 falls?

Oscar sold 2 glasses of milk for each 5 sodas he sold, Oscar sold 2 glasses...

Oscar sold 2 glasses of milk for each 5 sodas he sold. If he sold 10 glasses of milk, how many sodas did he sell? Set up a proportion along with milk/soda = 2/5 = 10x. Cross mu

Multiple linear regression models, Multiple Linear Regression Models T...

Multiple Linear Regression Models There are situations whether there is more than one factor which influence the dependent variable Illustration Cost of production weekl

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