EBK MATLAB: AN INTRODUCTION WITH APPLIC
EBK MATLAB: AN INTRODUCTION WITH APPLIC
6th Edition
ISBN: 8220103113663
Author: GILAT
Publisher: YUZU
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Chapter 9, Problem 37P

The sudden outbreak of an insect population can be modeled by the equation

d N d t = R N 1 N C r N 2 N c 2 N 2

The first term relates to the well-known logistic population growth model where N is the number of insects. R is an intrinsic growth rate, and C is the carrying capacity of the local environment. The second term represents the effects of bird predation. Its effect becomes significant when the population reaches a critical size Nc; r is the maximum value that the second term can reach at large values of N.

Solve the differential equation for 0 t 50 days and two growth rates. R = 0.55 and R = 0.58 day-1, and with N(0) = 10,000. The other parameters are C = 104, N = 104, r = 104day-1. Make one plot comparing the two solutions and discuss why this model is called an “outbreak” model.

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Chapter 9 Solutions

EBK MATLAB: AN INTRODUCTION WITH APPLIC

Ch. 9 - Using MATLAB’s built-in function fminbnd,...Ch. 9 - A flat rectangular sheet of metal that is 70 in....Ch. 9 - Using MATLAB’s built-in function fminbnd,...Ch. 9 - A prismatic box with equilateral triangular base...Ch. 9 - An RLC circuit with an alternating voltage source...Ch. 9 - A 108-in.-long beam AB is attached to the wall...Ch. 9 - Use MATLAB to calcute the following integrals: (a)...Ch. 9 - Use MATLAB to calculate the following integrals:...Ch. 9 - The speed of a race car during the first 7 s of a...Ch. 9 - A rubber band is stretched by fixing one end...Ch. 9 - Use numerical integration to approximate the size...Ch. 9 - The electric wire that connects the house to the...Ch. 9 - The flow rate Q (volume of fluid per second) in a...Ch. 9 - Prob. 24PCh. 9 - The variation of gravitational acceleration g with...Ch. 9 - An approximate map of Lake Erie is shown in the...Ch. 9 - To estimate the surface area and volume of a...Ch. 9 - Prob. 28PCh. 9 - The orbit of Mercury is elliptical in shape, with...Ch. 9 - Prob. 30PCh. 9 - Use a MATLAB built-in function to numerically...Ch. 9 - Use a MATLAB built-in function to numerically...Ch. 9 - Prob. 33PCh. 9 - Use a MATLAB built-in funtion to numerically...Ch. 9 - The growth of a fish is often modeled by the von...Ch. 9 - A water tank shaped as a cone (R = 2 m, H = 4 m)...Ch. 9 - The sudden outbreak of an insect population can be...Ch. 9 - An airplane uses a parachute and other means of...Ch. 9 - The population growth of species with limited...Ch. 9 - An RL circuit includes a voltage source vs, a...Ch. 9 - Growth of many organisms can be modeled with the...Ch. 9 - The velocity, v, of an object that falls freely...
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