The dynamics of a fish population is described by the Richard's growth law dN N rN1...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iii) Use the substitution u = N-1/2 to show that the exact solution of the equation (1) satisfying the initial condition N(0) = No > 0 is given by N() = [K-l/? + (N,"? – K-?)eT°. -1/2) Determine the behaviour of the solution in the limit of t 0o. [7 marks] The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are positive constants. (iii) Use the substitution u = N-1/2 to show that the exact solution of the equation (1) satisfying the initial condition N(0) = No > 0 is given by N() = [K-l/? + (N,"? – K-?)eT°. -1/2) Determine the behaviour of the solution in the limit of t 0o. [7 marks]
Expert Answer:
Answer rating: 100% (QA)
The dymmics a fish epulatin in dineribed by Richasel s gr... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
The dynamics of a fish population is described by the Richard's growth law dN N rN1 dt (1) K where N = N(1) is the population size depending on the continuous time variable t, and r and K are...
-
The biomass B(t) of a fish population is the total mass of the members of the population at time t. It is the product of the number of individuals N(t) in the population and the average mass M(t) of...
-
Show that the exact solution of the equation d'v 0
-
Select the meso compound in the 1 point choices below: * >OH >H rggrr554 CH,OH CH,OH ffffhfghgt
-
What three categories of revenues are deducted from expenses to compute the net expenses or revenues for each function or program shown in the government- wide statement of activities?
-
How would the court classify the Chickasaw Club corporation-domestic or foreign, public or private? William Sharp was the sole shareholder and manager of Chickasaw Club, Inc., an S corporation that...
-
Quantum Computer Company is considering the purchase of automated machinery that is expected to have a useful life of 4 years and no residual value. The average rate of return on the average...
-
A 2000-liter tank initially contains 400 liters of pure water. Beginning at t = 0, an aqueous solution containing 1.00 g/L of potassium chloride flows into the tank at a rate of 8.00 L/s and an...
-
In accordance with the WHS Act 2011, regulations and code of practice, there are a variety of different methods that works places can consult there workers. List 7 methods you could use
-
1. What forms of interpersonal power does Larry Ellison use and how does he use them? 2. How do the two faces of power relate to Larry Ellisons actions? 3. Does Larry Ellison use power ethically?...
-
1. What are the advantages and disadvantages of principal-protected equity-linked notes from the investor's (e.g. private banking client's) point of view? 2. If a client would like to invest...
-
Presented is Violet Company's Contribution Income Statement: VIOLET COMPANY Contribution Income Statement For the Month Ending January 31, 2020 Sales $200,000 Less variable costs: Direct materials...
-
Explain the concept of quorum sensing in bacterial communication, detailing its molecular basis, ecological implications, and potential applications in biotechnology and medicine .
-
Ball sports is considering the purchase of a new stitching machine for 184600. the new machine will stitch 120 baseballs per hour at a contribution margin of 0.20 per baseball. The machine will...
-
What are the evolutionary mechanisms underlying the emergence and spread of complex social behaviors, such as altruism, cooperation, and eusociality, and how do theories like kin selection,...
-
A mortgage currently has an outstanding balance of 400,000. There are 320 level amortizing monthly payments remaining. (The most recent payment has just been made). The mortgage has a nominal annual...
-
Calculating the Total Overhead Variance Standish Company manufactures consumer products and provided the following information for the month of February: Units produced 131,100 Standard direct labor...
-
Is that Yelp review real or fake? The article A Framework for Fake Review Detection in Online Consumer Electronics Retailers (Information Processing and Management 2019: 12341244) tested five...
-
A force with magnitude 20 N acts directly upward from the xy-plane on an object with mass 4 kg. The object starts at the origin with initial velocity v(0) = i - j. Find its position function and its...
-
Evaluate the triple integral. where T is the solid tetrahedron with vertices (0, 0, 0), (1, 0, 1), (0, 1, 1), and (0, 0, 1) SII, xz dV,
-
Solve the differential equation. d 2 R/dt 2 + 6 dR/dt + 34R = 0
-
Global Music Enterprises, Inc., had a balance sheet loaded with intangible assetscopyrights on music, goodwill from various prior acquisitions, and internet customer lists purchased from other online...
-
At the beginning of the year, The Claremont Comwae, pany purchased a 100-ton press for \($750,000\). The equipment had an estimated useful life of ten years and a salvage value of \($30,000\). The...
-
The Miller Company purchased a new headquarters building on January 1 at a comme cost of \($40\) million. The building is expected to last 20 years, at which time its residual value is expected to be...
Study smarter with the SolutionInn App