Population Model The differential equation in Example 3 is a well-known population model. Suppose the DE is
Question:
Population Model The differential equation in Example 3 is a well-known population model. Suppose the DE is changed to
dP/dt = P(aP - b),
where a and b are positive constants. Discuss what happens to the population P as time t increases.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 70% (17 reviews)
The critical points are 0 and ba From the phase portrait we see that 0 is an ...View the full answer
Answered By
Joseph Mwaura
I have been teaching college students in various subjects for 9 years now. Besides, I have been tutoring online with several tutoring companies from 2010 to date. The 9 years of experience as a tutor has enabled me to develop multiple tutoring skills and see thousands of students excel in their education and in life after school which gives me much pleasure. I have assisted students in essay writing and in doing academic research and this has helped me be well versed with the various writing styles such as APA, MLA, Chicago/ Turabian, Harvard. I am always ready to handle work at any hour and in any way as students specify. In my tutoring journey, excellence has always been my guiding standard.
4.00+
1+ Reviews
10+ Question Solved
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Question Posted:
Students also viewed these Mathematics questions
-
(a) Find a solution of the initial-value problem consisting of the differential equation in Example 3 and each of the initial conditions: y(0) = 2, y(0) = -2, and y(1/4) + = 1. (b) Find the solution...
-
Suppose we alter the differential equation in Exercise 15 as follows: (a) Solve this differential equation with the help of a table of integrals or a CAS. (b) Graph the solution for several values of...
-
Suppose we alter the differential equation in Exercise 23 as follows: (a) Solve this differential equation with the help of a table of integrals or a CAS. (b) Graph the solution for several values of...
-
Prepare adjusting journal entries, as needed, considering the account balances excerpted from the unadjusted trial balance and the adjustment data. A. depreciation on buildings and equipment, $17,500...
-
In 1996, Florida voted on (and rejected) a 1-per-pound excise tax on refined cane sugar in the Florida Everglades Agricultural Area. Swinton and Thomas (2001) used linear supply and demand curves...
-
Red Blood Cell Count Use the normal distribution in Exercise 16. (a) What percent of the adult males have a red blood cell count less than 5.75 million cells per microliter? (b) What percent of the...
-
The balance sheet of Morrisey Management Consulting, Inc., at December 31, 2007, reported the following stockholders' equity: During 2008, Morrisey completed the following selected transactions:...
-
On January 1, 2010, the Fastor Company had a retained earnings balance of $218,600. It is subject to a 30% corporate income tax rate. During 2010, the company earned net income of $67,000, and the...
-
If the average return on common stocks was 13.3%, the average Treasury bill rate was 3.8%, and the average inflation rate was 3.2% what would be the expected nominal and approximate real market...
-
David Green is considering his operating statement for 2013, which is displayed in the table below. David is the manager of store number 88, where he began as one of the staff 6 years ago, and...
-
Suppose the autonomous DE in (2) has no critical points. Discuss the behavior of the solutions.
-
Population Model Another population model is given by dP/dt = kP - h, where h and k are positive constants. For what initial values P(0) = P 0 does this model predict that the population will go...
-
Fifteen digits for floating-point numbers certainly seems enough to me. Do I really need to worry much about precision?
-
Define binary tree. Explain different types of binary trees.
-
Write algorithm for post-order traversing?
-
Explain recursive algorithm for in-order traversal?
-
Discuss the significance of balance of payments statistics for the worlds major economies.
-
Your friend owns an import-and-export company and is worried that the value of the local currency has underperformed in comparison to all regional currencies in recent months. How would you advise...
-
Calculate the double integral. tan 0 = dA, R={(0, t) | 0 < 0 < T/3, 0 < t
-
Experiment: Tossing four coins Event: Getting three heads Identify the sample space of the probability experiment and determine the number of outcomes in the event. Draw a tree diagram when...
-
Solve the given initial-value problem. y" 2y" + y' = 2 24e* + 40e, y(0) = 2 %3D 2.
-
Solve the given initial-value problem. y''' + 8y = 2x - 5 + 8e -2x , y(0) = -5, y'(0) = 3, y''(0) = -4
-
Solve the given boundary-value problem. y'' + y = x 2 + 1, y(0) = 5, y(1) = 0
-
Sumitomo Heavy Industries Ltd . desires to buy a new crane and accessories to help move and install modular buildings. The machine sells for $ 1 0 0 , 0 0 0 and requires working capital of $ 2 0 , 1...
-
In Mr. Martins math class there are 15 students out of which four will be selected to receive a special award. How many combinations of students can be selected
-
Accounting for Shares Later Waterport sold an additional 16,300 shares and purchased 3,100 more treasury shares. Required: Determine the number of issued and outstanding shares.
Study smarter with the SolutionInn App