Assume there is a certain population of fish in a pond whose growth is described by logistic equation. It is estimated that the carrying capacity for the pond is 1300 fish. Absent constraints, the population would grow by 240% per year. If the starting population is given by P0 equals 200, then after one breeding season the population of the pond is given by P1 = After to breeding seasons the population of the pond is given by P2 =

Assume there is a certain population of fish in a pond whose growth is described by logistic equation. It is estimated that the carrying capacity for the pond is 1300 fish. Absent constraints, the population would grow by 240% per year. If the starting population is given by P0 equals 200, then after one breeding season the population of the pond is given by P1 = After to breeding seasons the population of the pond is given by P2 =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Assume there is a certain population of fish in a pond whose growth is described by the logistic…

A: The logistic equation describes the growth of a certain population of fish in a pond.The pond's…

Q: 100 fingerlings were released in a pond in 2005. By 2012, there were 324 fishes in the pond. The…

A: The growth function is Pt=50001+49e-0.1746t For the year 2016 , the number of years past 2005 is…

Q: Is the logistic equation separable?

Q: Coronavirus disease (COVID-19) is spreading in a small country with a population of 100,000 people.…

Q: 9. Population of bacteria, P, has a fixed relative birth rate birth = ro (so that the absolute birth…

A: Given Data: The Birth rate rbirth=r0The death rate rdeath=r1+r2P

Q: In 1985 the number of subscribers to basic cable was 9500 thousands. This number of subscribers…

A: Step:-1 Part (A):- Logistic model Formula:- P(t)=k1+be-r t---- (1) k is the carrying capacity, and…

Q: A population of bees in a particular region satisfies the logistic equation with carrying capacity…

Q: Assume there is a certain population of fish in a pond whose growth is described by the logistic…

A: The objective of this question is to calculate the population of fish in a pond after one and two…

Q: Assume there is a certain population of fish in a pond whose growth is described by the logistic…

A: Given- Assume there is a certain population of fish in a pond whose growth is described by the…

Q: For any logistic equation, show that the point of inflection occurs at y = L/2 when the solution…

A: Given: The logistic equation

Q: The trout population in Lake Beautiful is growing according to the logistic model, C P(t) = 1+ ae -…

A: The logistic model is a type of population model that is expressed by Pt=K1+ae-bt Here Pt is the…

Q: 100 fingerlings were released in a pond in 2005. By 2012, there were 324 fishesin the pond. The pond…

A: The logistic growth model for the population for a given period t is given as: Pt=L1+Ae-ktwhere,…

Q: A population numbers 17,000 organisms initially and grows by 14.6% each year. Suppose P represents…

A: Our model function is P = abt, a is the initial number of population which is 17000 and b is (1+r).…

Q: Assume there is a certain population of fish in a pond whose growth is described by the logistic…

A: The starting population is given as p0=100 The growth is 240% per year and the growth rate is 2.4…

Q: Assume there is a certain population of fish in a pond whose growth is described by the logistic…

Q: A biodiversity organization releases 1200 tilapia into a lake. After a year, there are 2000 tilapia…

A: Let's find growth logistics model.

Q: Assume there is a certain population of fish in a pond whose growth is described by the logistic…

A: The objective of this question is to calculate the population of fish in a pond after one and two…

Q: Assume there is a certain population of fish in a pond whose growth is described by the logistic…

Q: Show that for a population that satisfies the logistic model, the maximum rate of growth of…

A: The growth rate in a logistic model is given by where

Q: The table below represents the number of clients for a company from 2018 to 2022 (t − 0 represents…

A: The table below represents the number of clients for a company from 2018 to 2022. Year…

Q: If the population of a Nigeria doubles in 9 years, ﬁnd the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Question

100%

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 Introduction

VIEW

Step 2 Step-by-Step Explanation

VIEW

Step 3 Result

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The initial population size of rock ptarmigans in an area is 500 ptarmigans. The growth rate is 0.2 and the carrying capacity is 8000 ptarmigans. The authorities in the area have announced that it is possible to start hunting in the area when the size of the population has reached 5000 ptarmigans. Assume that time is measured in years. After how many years can a ptarmigan be allowed to hunt in the area if we assume that the population size is in accordance with the logistic equation? )?
How is the slope coefficient interpreted in a log-linear model, where thedependent variable is (i) in logarithms but the independent variable is not, (ii)in a linear-log model, (iii) in a log-log model?
Suppose a species of fish in a particular lake has a population that is modeled bythe logistic population model with growth rate k, carrying capacity N, and time tmeasured in years. Adjust the model to account for each of the following situations. * One hundred fish are harvested each year.* One-third of the fish population is harvested annually.* The number of fish harvested each year is proportional to the square root of thenumber of fish in the lake. I was hoping to compare my answer to yours because I am a little confused if I did it right. Thank you for your time and effort.
Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1000 fish. Absent constraints, the population would grow by 190% per year.If the starting population is given by �0=300, then after one breeding season the population of the pond is given by�1 = After two breeding seasons the population of the pond is given by�2 =
A tree farm starts with ten trees. Tree growth is expected to follow logistic growth with a first-order growth rate constant of r = 0.16 yr ' to a maximum of 8,000 trees. Write the equation that relates the number of trees (N) to time (1). What are the values of No, r, and K? Plot the number of trees over time if no harvesting occurs. Go out to about 70 years. What is the maximum sustainable yield (MSY)? How long should you wait before harvesting at the MSY? Determine the standing crop. (The standing crop is the number of trees at steady state when harvesting at the MSY.)
Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 2000 fish. Absent constraints, the population would grow by 190% per year.If the starting population is given by �0=500, then after one breeding season the population of the pond is given by�1 = After two breeding seasons the population of the pond is given by�2 =
4. Suppose that sodium pentobarbitol is used to anesthetize a dog. The dog anesthetized when its bloodstream contains at least 40 mg of sodium pentobarbitol per kg of the dog's weight. Suppose that the sodium pentobarbitol is eliminated exponentially from the dog's bloodstream with a half-life of 6 hours. What single dose should be administered in order to anesthetize a 55- kg dog for 2.25 hours?
Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1200 fish. Absent constraints, the population would grow by 110% per year.If the starting population is given by �0=500, then after one breeding season the population of the pond is given by�1 = After two breeding seasons the population of the pond is given by�2 =
Due to the rising temperatures in a bay ecosystem, the population mass of a certain species of jellyfish is growing exponentially. When first measured in 2010 (which we can call year t = 0), the bay contained about 600 tons of jellyfish. Now in 2021 (t = 11), the bay has 2,000 tons. If it continues to grow in this way, in what year will the jellyfish population mass reach 10,000 tons?