Population Model Another population model is given by dP/dt = kP - h, where h and k
Question:
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) = P0 does this model predict that the population will go extinct?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (15 reviews)
From the equation dPdt k P hk we see that the only critical point of the autonomous diffe...View the full answer
Answered By
PALASH JHANWAR
I am a Chartered Accountant with AIR 45 in CA - IPCC. I am a Merit Holder ( B.Com ). The following is my educational details.
PLEASE ACCESS MY RESUME FROM THE FOLLOWING LINK: https://drive.google.com/file/d/1hYR1uch-ff6MRC_cDB07K6VqY9kQ3SFL/view?usp=sharing
3.80+
3+ 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
-
The population model given in (1) fails to take death into consideration; the growth rate equals the birth rate. In another model of a changing population of a community it is assumed that the rate...
-
Suppose the population model (4) is modified to be dP/dt = P(bP - a). (a) If a > 0, b > 0 show by means of a phase portrait (see page 40) that, depending on the initial condition P(0) = P 0 , the...
-
There is considerable evidence to support the theory that for some species there is a minimum population m such that the species will become extinct if the size of the population falls below m. This...
-
Prepare adjusting journal entries, as needed, considering the account balances excerpted from the unadjusted trial balance and the adjustment data. A. amount due for employee salaries, $4,800 B....
-
A monopoly with a constant marginal cost m has a profit-maximizing price of p1. It faces a constant elasticity demand curve with elasticity (1. After the government applies a specific tax of $1, its...
-
During the current year, the accountant for the Cartwright Corporation recorded numerous transactions in an account labeled Intangibles as follows: Jan. 2 Incorporation fees $17,500 Jan. 10 Legal...
-
Does pre-season success indicate regular season success in the US National Football League? We looked at the number of preseason wins and regular season wins for all 32 NFL teams over a 10 -year...
-
The following table shows an example of gross domestic product values for five countries from 2005 to 2010 in equivalent U.S. dollars ($). a. How could you improve the readability of this table? b....
-
On January 1 of Year 1, Alpha Corporation issued $400,000 of 8% (cash payable semiannually on June 30 and December 31), three-year bonds to yield 10%. Required a. Compute the selling price of the...
-
Angela sold her personal auto in 2022 for $8,000. She purchased the car for $26,000 in 2015. She has long-term capital gains of $4,000 from the sale of stock in 2022. What is Angelas net recognized...
-
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...
-
Terminal Velocity In Section 1.3 we saw that the autonomous differential equation M dv/dt = mg - kv, where k is a positive constant and g is the acceleration due to gravity, is a model for the...
-
If autonomous expenditures increased by $20 billion, what is the change in aggregate demand at a given price level if the marginal propensity to consume is 0.75?
-
Banana Tree is a stable firm operating in a matured industry. The firm is currently financed with $1,806 million (market value) of bonds with a yield of 8.5% that mature next day. It has 100 million...
-
If Al Bundy's Year-to-Date (YTD) or cumulative earnings are $127,500 and he receives a Christmas Bonus of $2000 how much will be taken out of his current check for social security (given the maximum...
-
What are the challenges associated with predicting protein structure from amino acid sequences, and how do advancements in machine learning and artificial intelligence aid in addressing these...
-
identify at least two operational risks and two operational risk mitigation strategies, at least two financial risks and two financial risk mitigation strategies, one market risk and one market risk...
-
Barings Bank collapsed in the 1990s as a result of derivative trading. Identify any other high profile corporate bankruptcy attributable to derivative trading and. Describe the events that created...
-
a. What is the effect of shifting an unsigned number in a register 2 bits to the left? 1 bit to the right? Assume that 0s are inserted to replace bit locations at the end of the register that have...
-
XYZ Inc. a calendar year, accrual basis corporation, had the following items during 2021: Gross revenue from operations Cost of goods sold $420,000 ($180,000) $9,000 LT capital gain .LT capital...
-
Solve the given boundary-value problem. y'' 2y' + 2y = 2x 2, y(0) = 0, y() =
-
Solve the given boundary-value problem. y'' + 3y = 6x, y(0) = 0, y(1) + y'(1) = 0
-
Solve the given boundary-value problem. y'' + 3y = 6x, y(0) = 0, y'(0) = y(1) = 0
-
How does lean production facilitate effective communication and collaboration across departments?
-
2. The idiophones in gamelan ensembles occur in pairs. The longest bar on a particular gamelan pair has a fundamental frequency (pitch) of 100Hz. Call this gamelan A. (a) (3 points) What are two...
-
The authors of The Creation of Inequality make the point that the Ice Age had barely thawed when some of our ancestors began "surrendering bits of equality." And that process unfolds across 15,000...
Study smarter with the SolutionInn App