Smallpox: When Should Routine Vaccination Be Discontinued?

Name: Smallpox: When Should Routine Vaccination Be Discontinued?
Brand: Birkhäuser
SKU: 9780817630423
Price: 217.76 PLN
Availability: InStock

Autor: J.C. Frauenthal

Język:

Oprawa: Miękka

Wydawca: Birkhäuser

Dostępność: Dostępna u dostawcy

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217.76 zł

The material discussed in this monograph should be accessible to upper level undergraduates in the m...

Informacje o książce

Autor

J.C. Frauenthal

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2013

strony

EAN

9780817630423

ISBN

0817630422

Enbook ID

01398826

Wydawca

Birkhäuser

Waga

120

Wymiary

155 x 235 x 5

Pełny opis

The material discussed in this monograph should be accessible to upper level undergraduates in the mathemati cal sciences. Formal prerequisites include a solid intro duction to calculus and one semester of probability. Although differential equations are employed, these are all linear, constant coefficient, ordinary differential equa tions which are solved either by separation of variables or by introduction of an integrating factor. These techniques can be taught in a few minutes to students who have studied calculus. The models developed to describe an epidemic outbreak of smallpox are standard stochastic processes (birth-death, random walk and branching processes). While it would be helpful for students to have seen these prior to their introduction in this monograph, it is certainly not necessary. The stochastic processes are developed from first principles and then solved using elementary tech niques. Since all that turns out to be necessary are ex pected values of random variables, the differential-differ ence equatlon descriptions of the stochastic processes are reduced to ordinary differential equations before being solved. Students who have studied stochastic processes are generally pleased to learn that different formulations are possible for the same set of conditions. The choice of which formulation to employ depends upon what one wishes to calculate. Specifically, in Section 6 a birth-death pro cess is replaced by a random walk and in Section 7 a prob lem is formulated both as a multi-birth-death process and as a branching process.

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