The plant model we covered in class is Pn+1 = apn+bpn-1 where a, b > 0....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The plant model we covered in class is Pn+1 = apn+bpn-1 where a, b > 0. As you know, the solution is given by Pn = C₁+C₂A2 where A² = a + b. (a) Find a threshold ac such that the plants go extinct (pn → 0 as n → ∞) when 0 < a < ac, and plants grow exponentially, (pn →∞ as n →∞) when a > ac. Note that ac will depend on b. (b) Suppose that a = ac (with a, b > 0). What is the long-term behaviour (n → ∞) in this case? The plant model we covered in class is Pn+1 = apn+bpn-1 where a, b > 0. As you know, the solution is given by Pn = C₁+C₂A2 where A² = a + b. (a) Find a threshold ac such that the plants go extinct (pn → 0 as n → ∞) when 0 < a < ac, and plants grow exponentially, (pn →∞ as n →∞) when a > ac. Note that ac will depend on b. (b) Suppose that a = ac (with a, b > 0). What is the long-term behaviour (n → ∞) in this case?
Expert Answer:
Answer rating: 100% (QA)
a ac 2b When a ac the plants go extinct because the growth rate is negative When a ac the growth rat... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
The Securities and Exchange Commission (SEC) reviews a companys financial statements to ensure that they conform to U.S. GAAP before allowing the company to conduct an initial public offering and...
-
Brent Co Ltd. is engaged in the manufacture of shirts involves using sizable quantities of cloth and special thread. A substantial value of inventory is stored at its central warehouse, some miles...
-
Pn Angeline has been working as the Chief of Finance at More Fun Sdn Bhd since January 2012. She owns 2% of the companys share capital. Her income comprises of a monthly salary of RM7,488 (after...
-
Calculate the new profit sharing ratio after the admission of Fischer. Assignment Ubisoft Entertainment is a partnership of exclusive game distributors who specialize in electronic arts and play...
-
Which needs in Maslows hierarchy are most important to the employees who work for Urban Escapes, and how can managers use this information to develop a highly motivated workforce?
-
Describe the decision process used to identify a requirements verification method(s)?
-
Kablossom started a business in 2010 with total assets of \($35,000\) and total liabilities of \($32,000\). At the end of 2010, Kablossoms total assets were \($65,000\), and total liabilities were...
-
Beck Company expects to produce 10,000 units for the year ending December 31. A flexible budget for 10,000 units of production reflects sales of $200,000; variable costs of $40,000; and fixed costs...
-
those expenses on the right. The expenses and the costs are as follows: Customer service salaries, $ 602,350; Insurance and property taxes, 110,240; Distribution salaries, 861,200; Marketing...
-
A model for the surface area of some solid object is given by S = 0.171uw0.683 h0.439, where w is the weight (in pounds), h is the height (in inches), and S is measured in square feet. If the errors...
-
Summarize your DMZ breach simulation results , highlighting what you found to be the greatest concerns from a network monitoring perspective .
-
Motivating your audience is particularly important when you are asking them to do something that is difficult or that they are resistant to doing. Imagine that you are writing a persuasive email,...
-
Describe the difference between a persuasive presentation and a collaborative presentation.
-
How does persuasion help team decision making?
-
When you identify potential audience objections to your ideasas part of planning a persuasive conversation or written messageshould you address those objections directly as part of your persuasive...
-
What is the main difference between a visual aid presentation and a stand-alone presentation?
-
a project based on research that will end in a recommendation report. Your first step will be to locate a topic . The topic should be researchable, problem based, and directed toward workable...
-
Wholesalers Ltd. deals in the sale of foodstuffs to retailers. Owing to economic depression, the firm intends to relax its credit policy to boost productivity and sales. The firms current credit...
-
Starting with H2, describe how you would prepare (a) HCl, (b) NH3 (c) LiOH.
-
Two beakers are placed in a closed container. Beaker A initially contains 0.15 mole of naphthalene (C10H8) in 100 g of benzene (C6H6) and beaker B initially contains 31 g of an unknown compound...
-
When magnesium metal is burned in air, it forms two products A and B. A reacts with water to form a basic solution. B reacts with water to form a similar solution as that of A plus a gas with a...
-
Which of the following is not a condition that potentially increases the entity's business risk? a. The entity's information system is not adequate to handle its volume of sales transactions. b. The...
-
Define auditing, attest, and assurance services. Provide two examples of each type of service.
-
Which of the following, if material, would be fraud? a. Mistakes in the application of accounting principles. b. Clerical mistakes in the accounting data underlying the financial statements. c....
Study smarter with the SolutionInn App