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.

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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

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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.
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 that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.
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
A poultry raiser harvests an average of 300 eggs per day. He has recently experimented with different types of poultry feeds. As a result, he noticed some fluctuations in the number of eggs laid by the chickens, which is neither clearly higher nor lower than previous weeks. He decides to find out if there might be a significant change in the number of eggs laid by the chickens. He records his harvest of eggs for 20 days. He finds that the average per day is 290 eggs with a standard deviation of 15. At 5% Level of Significance, what did the poultry raiser concludes?
The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. Round your answers to 3 decimal places y= Raspberry Type Farm A - North Field Farm B - North Field Farm A - South Field Farm B - South Field Farm C -Small Field Farm D Farm E x+ grams 60 65 70 75 80 85 90 Vitamin C content in mg 14.3 16.1 18.9 20.3 22.8 25.5 27.5 According to this model, how many mg of Vitamin C can be expected in a raspberry that weighs 82 grams Round to 3 decimal places.

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