Recall the updating function with the fraction p of mutant bacteria given by where s is the
Question:
where s is the per capita production of the mutant and r is the per capita production of the wild type. Find the derivative in the following cases, and evaluate at the equilibria p = 0 and p = 1. Are the equilibria stable?
s = 1.5, r = 1.5
Transcribed Image Text:
f(p) = sp + r(1-p)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 77% (18 reviews)
f0 f1 1 Both derivatives are exactly 1 ...View the full answer
Answered By
Mario Alvarez
I teach Statistics and Probability for students of my university ( Univerisity Centroamerican Jose Simeon Canas) in my free time and when students ask for me, I prepare and teach students that are in courses of Statistics and Probability. Also I teach students of the University Francisco Gavidia and Universidad of El Salvador that need help in some topics about Statistics, Probability, Math, Calculus. I love teaching Statistics and Probability! Why me?
** I have experience in Statistics and Probability topics for middle school, high school and university.
** I always want to share my knowledge with my students and have a great relationship with them.
** I have experience working with students online.
** I am very patient with my students and highly committed with them
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Modeling the Dynamics of Life Calculus and Probability for Life Scientists
ISBN: 978-0840064189
3rd edition
Authors: Frederick R. Adler
Question Posted:
Students also viewed these Calculus questions
-
What is the per capita production of population 1 during these years? The following table describes populations that are growing through production. For each, sketch a graph, find the per capita...
-
What is the per capita production of population 2 during these years? The following table describes populations that are growing through production. For each, sketch a graph, find the per capita...
-
What is the per capita production of population 3 during these years? The following table describes populations that are growing through production. For each, sketch a graph, find the per capita...
-
Oakey Wines is considering expanding on from the cafe to build a restaurant that will provide an evening experience of a meal, wine and entertainment. The package will be used to showcase new season...
-
The accounting records of The Picket Fence, Inc., reveal the following: Requirements 1. Compute cash flows from operating activities by the direct method. 2. Evaluate the operating cash flow of The...
-
In the circuit in Fig. the capacitors are all initially uncharged, the battery has no internal resistance, and the ammeter is idealized. Find the reading of the ammeter (a) Just after the switch S is...
-
Two rectangular plates of sizes \(L\) and \(W\) are facing each other and separated by a distance \(H\). Derive an expression for the view factor between these disks. Find the limit if \(W\) is...
-
Using the information for Sarot, Inc., in SE 4 and SE 5 compute the profit margin, asset turnover, return on assets, and return on equity for 2011 and 2012. In 2010, total assets were $400,000 and...
-
Consider a 10 year bond with face value $1,000, pays 6% coupon annually and has a yield-to-maturity of 7%. How much would the approximate percentage change in the price of bond if interest rate in...
-
The beginning account balances for Austins Auto Shop as of January 1, 2014, follows: Account Titles Beginning Balances Cash ........... $14,000 Inventory ......... 7,000 Common stock ....... 18,000...
-
Recall the updating function with the fraction p of mutant bacteria given by where s is the per capita production of the mutant and r is the per capita production of the wild type. Find the...
-
In general (without substituting numerical values for s and r), can both equilibria be stable? What happens if r = s? Recall the updating function with the fraction p of mutant bacteria given by...
-
A load W of magnitude 72 lb is applied to the mechanism at C. Neglecting the weight of the mechanism, determine the value of corresponding to equilibrium. The constant of the spring is k = 20...
-
Richard needs to borrow $34,103 and has narrowed his search for a loan to two banks. The first bank offers 67-month simple interest loans at an annual rate of 4.9%. The second bank offers 62-month...
-
When bart bought his car, it averaged 28 miles per gallon of gas. Now, the car's average miles per gallon has decreased by 14%. What is the cars average miles per gallon now?
-
Robert is inspecting a shipment of 22 inch pipes. The lengths of the pipes may vary by 1%. What is the range of allowable lengths in the pipes?
-
The rate of change in the temperature of water is given by the differential dT equation =-k(T-S) where T is the temperature of the water at the dt time t (measured in hours), S the room temperature...
-
25. In three dimensions, the location of a point can be represented by the ordered triple (x, y, z). a) Find the coordinates of the midpoint of the line segment with endpoints A(2, 3, 1) and B(6, 7,...
-
A solution containing several metal ions is treated with dilute HCl; no precipitate forms. The pH is adjusted to about 1, and H 2 S is bubbled through. Again, no precipitate forms. The pH of the...
-
Interest Compounded Annually. When P dollars is invested at interest rate i, compounded annually, for t years, the investment grows to A dollars, where A = P(1 + i) t . Trevor's parents deposit $7800...
-
It is determined that a wildlife refuge can support a group of up to 120 of a certain endangered species. If 75 are introduced onto the refuge and their population after t years is given by find the...
-
In January 2014 the so-called "Polar Vortex" of dense, frigid air plunged deep into the United States and resulted in record cold temperatures and dangerous wind chills. If s is the wind speed in...
-
Experimental evidence has shown that the response y of a muscle is related to the concentration of injected adrenaline x according to the equation y = x / a + bx where a and b are constants. Find the...
-
Problem 2 [55 marks] Consider a thin solid disk of radius a and material properties, E and v, which is placed inside a disk with a hole of the inner radius b = a and the outer radius a with materials...
-
(1) The volume of the cylinder was 1L at 50 C. What will be the new volume Vat T=100 C? Assume that the mass on top of the cylinder is kept the same. (Hint: P1=P2) P=const n=const V2 T2 = V V Ti (2)...
-
8. Mr. McCloskey is driving his truck along a straight road when he notices a small dark object 500 ft ahead. He steps on the brakes, then recognizes that the object is a duck standing in the middle...
Study smarter with the SolutionInn App