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Mathematical Models in Population Biology and Epidemiology - Fred Brauer, Dawn BIes - Google Books

China Email: shij math. Texts in Applied Mathematics , Springer-Verlag, New York, Differential Equations , Conf. Nonlinear Anal. Edinburgh Sect. New York Differential Equations , 34 , , no.

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Functional Analysis , 8 , , Rational Mech. MR [F] Fisher, R.


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Some of the questions and challenges raised can be addressed through the use of mathemathical models, but not all. The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions such as these.

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Part I focusses on single-species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models - the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity - the subject of Part III.

This book, which includes both examples and exercises, will be useful to practitioners, graduate students, and scientists working in the field. Both graduate students and professionals will find the book an understandable, absorbing, and penetrating treatment of a beautiful theory. The range of examples included makes it a good read for mathematically-literate non-biologists. These and the references to the original biological papers would be valuable resources for an instructor.

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The book was written as a textbook but anyone who is curious about mathematical biology would benefit from reading it. There is enough theory to prevent the book from being trivial and the emphasis on applications carries the reader into unexpected territory. First, the authors carefully discuss the underling assumptions of each model and, where appropriate, illustrate their points with real data.

Second, the authors extend the discussion of discrete time maps to include systems of difference equations. Third, the authors provide very convincing arguments for the inclusion of time delays in models for population growth. Finally, the chapter on the effects of harvesting on the growth of populations would be an excellent addition to an undergraduate course in mathematical economics. This textbook is user friendly and at times captivating. At first look students may be slightly intimidated since the text contains a lot of equations.

Mathematicians and quantitative analysts make valuable contributions to epidemics with that humanity handles during the centuries in defining, modeling, estimating the behaviour, controling and treating of epidemic diseases. In this study, it is considered mathematical epidemiology as a sub-discipline and given a descriptive application. This effort gives some impacts of epidemics on economics and business and some possible scenarios.

This paper highlightes the importance of synergy stemming from the cooperations of quantitative and health scientists.


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English Turkish English Login. Year , Volume 38, Issue 2, Pages - Zotero Mendeley EndNote. Abstract Mathematicians and quantitative analysts make valuable contributions to epidemics with that humanity handles during the centuries in defining, modeling, estimating the behaviour, controling and treating of epidemic diseases.

Mathematical Models in Population Biology and Epidemiology

References M. Last, Ed. A dictionary of epidemiology, 4th ed. Diekmann, J.

Mathematical Models in Population Biology and Epidemiology

Brauer, P. Spottiswoode, Ballantyne, London, Hafner, second edition, New York, Anderson ve R. Daley ve J. Cambridge university press, Cambridge, Andersson ve T. Britton, Stochastic epidemic models and their statistical analysis, volume of Lecture Notes in Statistics.

Springer, New York, Brauer ve C. Mollison, editor. Castillo-Chavez, with S. Blower, P. Kirschner, and A-A.