Mathematical Methods Of Population Biology

Author: F. C. Hoppensteadt
Editor: Cambridge University Press
ISBN: 9780521282567
Size: 20,66 MB
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An introduction to mathematical methods used in the study of population phenomena including models of total population and population age structure, models of random population events presented in terms of Markov chains, and methods used to uncover qualitative behavior of more complicated difference equations.

An Introduction To Mathematical Physiology And Biology

Author: J. Mazumdar
Editor: Cambridge University Press
ISBN: 9780521646758
Size: 19,51 MB
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A textbook about the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students.

Mathematics Of Genome Analysis

Author: Jerome K. Percus
Editor: Cambridge University Press
ISBN: 9780521585262
Size: 19,86 MB
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The massive research effort known as the Human Genome Project is an attempt to record the sequence of the three trillion nucleotides that make up the human genome and to identify individual genes within this sequence. While the basic effort is of course a biological one, the description and classification of sequences also lend themselves naturally to mathematical and statistical modeling. This short textbook on the mathematics of genome analysis presents a brief description of several ways in which mathematics and statistics are being used in genome analysis and sequencing. It will be of interest not only to students but also to professional mathematicians curious about the subject.

Ecology Of Infectious Diseases In Natural Populations

Author: B. T. Grenfell
Editor: Cambridge University Press
ISBN: 9780521465021
Size: 12,74 MB
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A combination of ecology and epidemiology in natural, unmanaged, animal and plant populations.

Epidemic Modelling

Author: D. J. Daley
Editor: Cambridge University Press
ISBN: 9780521014670
Size: 15,21 MB
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This is a general introduction to the mathematical modelling of diseases.

Math And Bio 2010

Author: Lynn Arthur Steen
Editor: MAA
ISBN: 9780883858189
Size: 19,12 MB
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Math & Bio 2010: Linking Undergraduate Disciplines envisages a new educational paradigm in which the disciplines of mathematics and biology, currently quite separate, will be productively linked in the undergraduate science programs of the 21st century. As a science, biology depends increasingly on data, algorithms, and models; in virtually every respect, it is becoming more quantitative, more computational, and more mathematical. While these trends are related, they are not the same; they represent, rather, three different perspectives on what many are calling the "new biology." All three methods---quantitative, computational, mathematical---are spreading across the entire landscape of biological science from molecular to cellular, organismic and ecological. The aim of this volume is to alert members of both communities---biological and mathematical---to the expanding and exciting challenges of interdisciplinary work in these fields.

Elements Of Mathematical Ecology

Author: Mark Kot
Editor: Cambridge University Press
ISBN: 1316584054
Size: 20,91 MB
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Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that ignore much of the variability found in natural populations for the sake of tractability. Topics covered include density dependence, bifurcations, demographic stochasticity, time delays, population interactions (predation, competition, and mutualism), and the application of optimal control theory to the management of renewable resources. The second part of this book is devoted to structured population models, covering spatially-structured population models (with a focus on reaction-diffusion models), age-structured models, and two-sex models. Suitable for upper level students and beginning researchers in ecology, mathematical biology and applied mathematics, the volume includes numerous clear line diagrams that clarify the mathematics, relevant problems thoughout the text that aid understanding, and supplementary mathematical and historical material that enrich the main text.

Mathematical Methods For Analysis Of A Complex Disease

Author: F. C. Hoppensteadt
Editor: American Mathematical Soc.
ISBN: 0821872869
Size: 11,12 MB
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Complex diseases involve most aspects of population biology, including genetics, demographics, epidemiology, and ecology. Mathematical methods, including differential, difference, and integral equations, numerical analysis, and random processes, have been used effectively in all of these areas. The aim of this book is to provide sufficient background in such mathematical and computational methods to enable the reader to better understand complex systems in biology, medicine, and the life sciences. It introduces concepts in mathematics to study population phenomena with the goal of describing complicated aspects of a disease, such as malaria, involving several species. The book is based on a graduate course in computational biology and applied mathematics taught at the Courant Institute of Mathematical Sciences in fall 2010. The mathematical level is kept to essentially advanced undergraduate mathematics, and the results in the book are intended to provide readers with tools for performing more in-depth analysis of population phenomena.

Essays In The History Of Mathematics

Author: Arthur Schlissel
Editor: American Mathematical Soc.
ISBN: 0821822985
Size: 18,27 MB
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Modelling Biological Populations In Space And Time

Author: Eric Renshaw
Editor: Cambridge University Press
ISBN: 9780521448550
Size: 20,63 MB
Format: PDF, Mobi
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This volume develops a unifying approach to population studies, emphasising the interplay between modelling and experimentation. Throughout, mathematicians and biologists are provided with a framework within which population dynamics can be fully explored and understood. Aspects of population dynamics covered include birth-death and logistic processes, competition and predator-prey relationships, chaos, reaction time-delays, fluctuating environments, spatial systems, velocities of spread, epidemics, and spatial branching structures. Both deterministic and stochastic models are considered. Whilst the more theoretically orientated sections will appeal to mathematical biologists, the material is presented so that readers with little mathematical expertise can bypass these without losing the main flow of the text.