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Jordan decompositions of generalized vector measures

Jordan decompositions of generalized vector measures BOOK REVIEWS 197 Chapter 20 deals with the geographical spread of infectious diseases. As with Chapter 19, this also starts off with a questionable remark in the introduction. The author states that the geographic spread is "even less well understood and much less well studied" than development in time. This is certainly true if you overlook some of the fundamental contributions. It is, of course, his own choice if he does not treat these more sophisticated approaches, by Diekmann and by Thieme among others (around 1980), the problem is that he does not even mention them (he only mentions one paper by Mollison, which is a stochastic approach). The bulk of the chapter consists of the contents of one paper, by Murray, of a model for the spread of rabies, based on a wrong idea of how rabid foxes behave. It would have been wiser to delete this chapter in its entirety as should have been done with Chapter 19. Of course, vast areas of what one could call biomathematics are not treated in this book; as stated already, this would have been impossible. Given that one still wants to write some kind of textbook, Murray's book is a http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Jordan decompositions of generalized vector measures

Acta Applicandae Mathematicae , Volume 23 (2) – May 4, 2004

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Publisher
Springer Journals
Copyright
Copyright
Subject
Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/BF00048809
Publisher site
See Article on Publisher Site

Abstract

BOOK REVIEWS 197 Chapter 20 deals with the geographical spread of infectious diseases. As with Chapter 19, this also starts off with a questionable remark in the introduction. The author states that the geographic spread is "even less well understood and much less well studied" than development in time. This is certainly true if you overlook some of the fundamental contributions. It is, of course, his own choice if he does not treat these more sophisticated approaches, by Diekmann and by Thieme among others (around 1980), the problem is that he does not even mention them (he only mentions one paper by Mollison, which is a stochastic approach). The bulk of the chapter consists of the contents of one paper, by Murray, of a model for the spread of rabies, based on a wrong idea of how rabid foxes behave. It would have been wiser to delete this chapter in its entirety as should have been done with Chapter 19. Of course, vast areas of what one could call biomathematics are not treated in this book; as stated already, this would have been impossible. Given that one still wants to write some kind of textbook, Murray's book is a

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: May 4, 2004

There are no references for this article.