Suppose the model of Exercise 22 is replaced by the equations dx/dt = 0.4 x(1 - 0.000005x)

Question:

Suppose the model of Exercise 22 is replaced by the equations
dx/dt = 0.4 x(1 - 0.000005x) - 0.002xy
dy/dt = -0.2y + 0.000008xy
(a) According to these equations, what happens to the insect population in the absence of birds?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

See More Books

Question Posted: Mar 04, 2016 07:16 AM

See More Questions

Suppose the model of Exercise 24 is replaced by the equations (a) According to these equations, what happens to the insect population in the absence of birds? (b) Find the equilibrium solutions and...
The model you found in Exercise 22 is a relationship noted in the 17th century by Kepler as his Third Law of Planetary Motion. It was subsequently explained as a consequence of Newton's Law of...
In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as follows: dR/dt = 0.08R(1 - 0.0002R) - 0.001RW dW/dt = -0.02W + 0.0000RW (a)...
An astronaut must journey to a distant planet, which is 200 light-years from Earth. What speed will be necessary if the astronaut wishes to age only 10 years during the round trip?
The City of Coyote mailed property tax bills for 2016 to its citizens during August 2015. Payments could be made early to receive a discount. The levy becomes legally enforceable on February 15,...
How do processes of urbanization, suburbanization, and gentrification contribute to spatial patterns of segregation, marginalization, and social exclusion within urban environments, and what...
Potential flow against a flat plate (Fig. P6.51a) can be described with the stream function \[ \psi=A x y \] where $A$ is a constant. This type of flow is commonly called a stagnation point flow...
In 2015, Gale and Cathy Alexander hosted an exchange student, Axel Muller, for 9 months. Axel was part of International Student Exchange Programs (a qualified organization). Axel attended tenth grade...
Because of its high dielectric strength, SF6 (sulfur hexafluo-ride) gas is widely used as an insulator and a dielectric in HV applications such as HV transform-ers, switches, circuit breakers,...
Which is a time-sensitive factor affecting menu prices? a. Meal period b. Ambiance c. Location d. Guest type
The transport of a substance across a capillary wall in lung physiology has been modeled by the differential equation dh/dt = - R/V (h/k + h) where h is the hormone concentration in the bloodstream,...
When a flexible cable of uniform density is suspended between two fixed points and hangs of its own weight, the shape y = f(x) of the cable must satisfy a differential equation of the form Where is a...
What problems does an assembler have to overcome in order to produce complete binary code in one pass over the source file? How would code written for a one-pass assembler be different from code...
You are a financial manager of Netflix Inc. (symbol: NFLX). You are considering the purchase of a promising new software company in California. Your objective is to determine the present value of the...
ENGR 220-homework 12 Problem 1 2013 Michael Swanbom 030 crimp ring SA kateb tat a b C 2 in 5 in 0.42 in This body exerts forces of -> crimp ring AB AB AD d A certain type of piping system uses...
State your future career ( Accounting ). How useful is the information learned in this course? Explain and justify with specific, non-monetary examples for each of the topics covered in the course...
Let's consider the economic impact of the pandemic on the economy. Assume that the pandemic evolves according to the basic SIR model: S i R and = = = -BS(t)I(t) BS(t)I(t)-I(t) yI (t) with initial...
Walgreens is offered a chain discount on cosmetics from Libby Corp. of 8/5/2; Roma Company offers a chain discount of 7/6/4. What is the highest discount offered? for each SEDR calculation, 1 mark...
Refer to the inventory problem of Example 2. If the distributor offers a discount of $1 per case for orders of 600 or more cases, should the manager change the quantity ordered? Example 2 Suppose...
Write out the formula for the total costs of carrying and ordering inventory, and then use the formula to derive the EOQ model. Andria Mullins, financial manager of Webster Electronics, has been...
Find dy/dx by implicit differentiation. x 2 - 4xy + y 2 = 4
Calculate y'. y = x 2 sin x
Graph the function using as many viewing rectangles as you need to depict the true nature of the function. f(x) = e* + In|x 4|
The imposition of a ceiling on the length of time a criminal case should take to get to trial is a multifaceted issue, balancing the defendant's right to a timely trial with the complexities of...
Discuss three changes written into the Constitution in 1789 that changed the government from what it was under the ArticIes of Confederation?
Assume South Park is initially closed to trade. Domestic supply and demand for winter hats is given by the following equations: D = 60 - 4P, S = 2P - 6. a. Suppose South Park opens up to trade and...

Suppose the model of Exercise 22 is replaced by the equations dx/dt = 0.4 x(1 - 0.000005x)

Question:

Step by Step Answer:

a dxdt 04xl 0000005x 0002xy dydt 02y 0000008xy If y 0 then dxdt 04xl 0000005x so dxdt 0 x 0 or x 200...View the full answer

Calculus Early Transcendentals

Students also viewed these Calculus questions