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

Direct and inverse variation, A man can do a piece of work in 25 days how m...

A man can do a piece of work in 25 days how many people are required to complete same work in 15 days?

Evaluate the area of the shaded region, Evaluate the area of the shaded reg...

Evaluate the area of the shaded region in terms of π. a. 8 - 4π b. 16 - 4π c. 16 - 2π d. 2π- 16 b. The area of the shaded region is same to the area of the squa

????? ???????, ???? ????? ??????? ?? ????? ??? ?? ????? ??????? ??????

???? ????? ??????? ?? ????? ??? ?? ????? ??????? ??????

Calculate average speed of a train, Calculate average speed of a train: ...

Calculate average speed of a train: What is the average speed of a train which completes a 450-mile trip in 5 hours? Solution: Using Equation 15: V av = s/t V a

Find integer if consecutive even integers is the number 126, The sum of two...

The sum of two consecutive even integers is the number 126. What are the integers? Two consecutive even integers are numbers in sequence, such as 4 and 6 or -30 and -32, that a

How many handles must be molded weekly to break even, Northwest Molded mold...

Northwest Molded molds plastic handles which cost $0.70 per handle to mold. The fixed cost to run the molding machine is $5799 per week. If the company sells the handles for $ 3.70

Find the maximum and minimum brightness values, Variable stars are ones who...

Variable stars are ones whose brightness varies periodically. One of the most visible is R Leonis; its brightness is modelled by the function where t is measured in days.

Some interpretations of the derivative, Some interpretations of the derivat...

Some interpretations of the derivative Example    Is f ( x ) = 2 x 3 + 300 +4 increasing, decreasing or not changing at x = -2 ? Solution:  We already know that the rate

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