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

Mixing problems, In these problems we will begin with a substance which is ...

In these problems we will begin with a substance which is dissolved in a liquid. Liquid will be entering as well as leaving a holding tank. The liquid entering the tank may or may

Linear Equations of Parallel Lines, A line has the equation 2y=-3x+1. Find...

A line has the equation 2y=-3x+1. Find an equation of a line parallel to this line that has a y-intercept of -2.

Taylor series, If f(x) is an infinitely differentiable function so the Tayl...

If f(x) is an infinitely differentiable function so the Taylor Series of f(x) about x=x 0 is, Recall that, f (0) (x) = f(x) f (n) (x) = nth derivative of f(x)

Diffrentiation, y=f(a^x)   and f(sinx)=lnx find dy/dx Solution) dy/dx...

y=f(a^x)   and f(sinx)=lnx find dy/dx Solution) dy/dx = (a^x)(lnx)f''(a^x), .........(1) but f(sinx) = lnx implies f(x) = ln(arcsinx) hence f''(x) = (1/arcsinx) (1/ ( ( 1-x

Find the volume of the cuboids, If the areas of three adjacent faces of cub...

If the areas of three adjacent faces of cuboid are x, y, z respectively, Find the volume of the cuboids. Ans: lb = x , bh = y, hl = z Volume of cuboid = lbh V 2 = l 2 b 2

Exponential and geometric model, Exponential and Geometric Model Expo...

Exponential and Geometric Model Exponential model  y = ab x Take log of both sides log y = log a + log b x log y = log a + xlog b Assume log y = Y and log a

Tower of hanoi problem, a) Write  a summary  on  Tower  of  Hanoi  Probl...

a) Write  a summary  on  Tower  of  Hanoi  Problem.  How  can  it  be solved using  recursion ?                  b) Amit goes to a grocery shop and purchases grocery for Rs. 23.

Example of circles - common polar coordinate graphs, Example of Circles - C...

Example of Circles - Common Polar Coordinate Graphs Example: Graph r = 7, r = 4 cos θ, and r = -7 sin θ on similar axis system. Solution The very first one is a circle

Find distance between points (b + c, Find the distance between the points (...

Find the distance between the points (b + c, c + a) and (c + a, a + b) . Ans : Use distance formula

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