Fundamentals of Differential Equations [With CDROM] - 7th Edition

7th Edition

ISBN: 9780321410481

Author: Saff, Edward B., Snider, Arthur David, Nagle, R. Kent

Publisher: Addison Wesley

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It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

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When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known …

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Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the prob…

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Textbook Question

Chapter 5.5, Problem 5E

Suppose for a certain disease described by the SIR model it is determined that a = 0.003 and b = 0.5 .

a. In the S I − phase plane, sketch the trajectory corresponding to the initial condition that one person is infected and 700 persons are susceptible.

b. From your graph in part (a), estimate the peak number of infected persons. Compare this with the theoretical prediction S = k / a ≈ 167 persons when the epidemic is at its peak.

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Chapter 5.5, Problem 4E

Chapter 5.5, Problem 6E

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Chapter 5 Solutions

Fundamentals of Differential Equations [With CDROM] - 7th Edition

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Solution Summary: The author illustrates the trajectory corresponding to the initial condition that one person is infected and 700persons are susceptible in the SI- phase plane.

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