Consider a linear predator-prey model. Letthe prey's growth rate be 1.2 and that ofthe predator be 1.3; the prey's populationdimities by 0.3 times that of the predator,the predator's population is increased by0.4 times that of the prey. Construct adiscrete model from the given informationand discuss its stability.

Answered: Image /qna-images/answer/529355e8-facc-4d35-90d2-4dfdbd539686.jpg

Answered: Consider a linear predator-prey model.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

The teenage birthrate in the United States has declined since 1995 as shown to the right. Let B be the American teenage birthrate (number of births per 1000 women ages 15-19) at t years since 1995. a. Find an equation of a linear model to describe the data. b. Predict the teenage birthrate in 2020. Then predict the number of births to women in 2020, assuming that there will be 11,007,000 women ages 15-19 in that year. c. Predict in which years the birthrate will be less than 11.4 births per 1000 women ages 15-19. Birthrate (number of births per 1000 women ages 15-19) Year 1995 56.0 2000 47.7 2005 40.5 2010 34.3 2015 24.2 a. Using the points (0,56.0) and (10,40.5), the equation of linear model is B = (Use integers or decimals for any numbers in the expression.) Enter your answer in the answer box and then click Check Answer.
Please help
The Jersey Dairy Products Company produces cheese, which it sells to supermarkets and foodprocessing companies. Because of concerns about cholesterol and fat in cheese, the company has seen demand for its products decline during the past decade. It is now considering introducing some alternative low-fat dairy products and wants to determine how much available plant capacity it will have next year. The company has developed an exponential smoothing forecast with a = .40 to forecast cheese demand. The actual demand and the forecasts from the model are as follows:Assess the accuracy of the forecast model by using MAD and cumulative error. If the exponential smoothing forecast model does not appear to be accurate, determine whether a linear trend model would provide a more accurate forecast.
Suppose you believe that population abundance (A) of a particular species is a linear function of vegetation coverage (V) and the presence of a predators (P). Surveys where conducted across 20 sites and found the following information: a) There was an average of cover of .406 (40.6%) of the area, with an average 6.8 predators and 61.55 individuals in our target population. b) ⟨V2⟩=0.231⟨V2⟩=0.231, ⟨P2⟩=76.300⟨P2⟩=76.300, ⟨VP⟩=2.933⟨VP⟩=2.933, ⟨VA⟩=36.329⟨VA⟩=36.329, ⟨PA⟩=379.300⟨PA⟩=379.300 Set up the appropriate system of equations needed for a the linear regression of a model of the form A=aV+bP+cA=aV+bP+c. Then estimate the parameters and report the final model.
The share of aggregate income held by middle-income households in 1970 was 62%, whereas that held by upper-income households was 29%. The corresponding figures in 2014 were 43% and 49%, respectively. The models describing the fall and the rise in the share of the aggregate incomes of these two groups are approximately linear over the period under consideration.† (a) Find the mathematical models describing the percent share of aggregate income held by each group from 1970 through 2014. (Let t denote the time, in years, with t = 0 corresponding to the beginning of 1970.) middle-income households y = upper-income households y = (b) Find the time when the aggregate income held by upper-income households first exceeded that held by middle-income households. (Give the calendar year in which the change occurred.)
Yaster Breakfast Supplies is planning to manufacture and market a new toaster. After conducting extensive market surveys, the research department provides the following estimates: • a weekly demand of 318 at a price of $13 per toaster • a weekly demand of 201 at a price of $16 per toaster The financial department estimates that weekly fixed costs will be $1,399 and variable costs (cost per unit) will be $3. Assume: • the relationship between price and demand is linear • the cost function in linear Use your models to predict the marginal profit when Yaster is producing and selling 271 toasters per week. Round to the nearest cent. $ per toaster
Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.
For Shock G: Suppose the economy starts in the long run equilibrium. Illustrate changes that the shock will cause in the short run (using AD-SRAS). Explain why each curve shifts. Determine how the price level and output will be affected in the short run. Mark the output gap on the diagram. Is the output gap positive or negative? Is the economy is booming, or is it in a recession? On the same diagram illustrate how the economy will adjust to the shock in the long run and explain the mechanism. Determine how the price level and output will be affected in the long run. G. The government increases its spending on national defense As a result of this shock, in the short run the (SRAS Curve/AD Curve) will shift? In consequence, in the short run prices and output will? In the short run, there will be a ? (negative/postive) output gap,which means there will be a ? (boom/recession) As time passes, because of high unemployment the wages in the economy will? (decrease/increase) As a…
The following data were obtained for the growth of a tarsier population introduced into a new environment on the island of Bohol. Plot the data. Is there a trend? Plot the change in population versus years elapsed after 1904. Formulate a discrete dynamical system that reasonably approximates the change you have observed. Year 1904 1914 1934 1944 1954 1650 1924 Population 125 275 830 1200 1750
find an example of a multivariate linear model. Cite it, illustrate it, and briefly explain what the model is telling us?

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS