2 edition of **Mathematical methods of population biology** found in the catalog.

Mathematical methods of population biology

F. C. Hoppensteadt

- 148 Want to read
- 3 Currently reading

Published
**1977**
by Courant Institute of Mathematical Sciences, New York University in New York
.

Written in English

- Population biology -- Mathematical models.

**Edition Notes**

Bibliography: p. 163-167.

Statement | F. C. Hoppensteadt. |

Classifications | |
---|---|

LC Classifications | QH352 .H66 |

The Physical Object | |

Pagination | v, 167 p. : |

Number of Pages | 167 |

ID Numbers | |

Open Library | OL14839048M |

The fast growing field of mathematical biology addresses biological questions using mathematical models from areas such as dynamical systems, probability, statistics, and discrete mathematics. This book considers models that are described by systems of partial differential equations, and it focuses on modeling, rather than on numerical methods. By contrast, most models in mathematical biology are developed ad hoc to describe a single series of experiments. To think that a slim textbook could capture the entirety of mathematical biology, with all its ad hoc models, would be absurd, but this book provides a good introduction to it by presenting classical applications of : Lance Davidson.

Population ecologists study how births and deaths affect the dynamics of populations and communities, while ecosystem ecologists study how species control the flux of energy and materials through food webs and ecosystems. Although all these processes occur simultaneously in nature, the mathematical frameworks bridging the two disciplines have developed . There are also a number of books that focus on more specific areas e.g. mathematical population genetics, ecological modeling, infectious disease epidemiology, etc. But without knowing which areas of modeling interest you it is difficult to recommend at this level.

Population Ecology (for S. Sarkar and A. Plutynski (eds.), A Companion to the Philosophy of Biology, Blackwell, forthcoming.) 1. Introduction. A population is a collection of individuals of the same species that live together in a region. Population ecology is the study of populations (especially population abundance) and how they change over Size: KB. part we focus on di erent elds in biology. (e) Literature / Books We touch a lot of issues: Modeling, stochastic processes, dynamical systems and statistics. Modeling: [48] Murray, J.D., Mathematical Biology, Springer, , [19] Edelstein-Keshet, Leah, Mathematical models in biology, McGraw-Hill, Stochastic Process.

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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 by: This introduction to mathematical methods that are useful for studying population phenomena is intended for advanced undergraduate and graduate students, and will be accessible to scientists who do not have Mathematical methods of population biology book strong mathematics background.

The material is graded in mathematical by: This textbook provides an introduction to the field of mathematical biology through the integration of classical applications in ecology with more recent applications to epidemiology, particularly in the context of spread of infectious diseases.

It integrates modeling, mathematics, and applications. Mathematical methods of population biology. [F C Hoppensteadt] -- This introduction to mathematical methods that are useful for studying population phenomena is intended for advanced undergraduate and graduate students, and will be accessible to scientists who do.

Mathematical methods of population biology. New York: Courant Institute of Mathematical Sciences, New York University, (OCoLC) Document Type: Book: All Authors / Contributors: Frank C Hoppensteadt. This book is an introduction to the principles and practice of mathematical modeling in the biological sciences, concentrating on applications in population biology, epidemiology, and resource management.

The core of the book covers models in these areas and the mathematics useful in analyzing them, including case studies representing real-life situations.5/5(2).

This textbook provides an introduction to the field of mathematical biology through the integration of classical applications in ecology with more recent applications to epidemiology, particularly in the context of spread of infectious diseases.

It integrates modeling, mathematics, and applications in a semi-rigorous way. “This is the text of choice for mathematical population biology. It is both authoritative and pedagogical. It is the text I have been waiting for.” Simon Levin “ the biology and mathematics of ecology are completely integrated.

The book is well written and should be part of every student's early training in ecology.” R.F. Constantino. Extensively class-tested to ensure an easy-to-follow format, Mathematical Methods in Biology is an excellent book for mathematics and biology courses at the upper-undergraduate and graduate levels.

It also serves as a valuable reference for researchers and professionals working in the fields of biology, ecology, and by: Keywords: mathematical models, biology, differential equations, phase-plane methods, population dynamics, oscillations - Hide Description Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology.

The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology.

Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree.

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. 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.

E.g., we will review some mathematical methods that are frequently used in mathematical biology, con-sider some standard models, and last, but not least have an introduction into the art of modelling. In contrast to Bioinformatics which deals mainly with. On the other hand, those with mathematical training—mathematicians, engineers and physicists— now have increased opportunity to participate in molecular cell biology research.

This book aims to provide both of these groups—readers with backgrounds in cell biology or mathematics—withFile Size: 5MB. Mathematical Methods in Biology and Neurobiology Ju¨rgen Jost1 Janu The abstract question posed to mathematics by biology is the one of structure formation.

This needs to be understood as a process because living the vertices can be the members of a population, and the edges social or other interactions, like mating. "A wonderfully pedagogical introduction to mathematical modeling in population biology: an ideal first course for biologists."—Simon A.

Levin, Princeton University "This book is an amazing teaching resource for developing a comprehensive understanding of the methods and importance of biological modeling. What follows are my lecture notes for Math Mathematical Biology, taught at the Hong Kong University of Science and Technology.

This applied mathematics course is primarily for ﬁnal year mathematics major and minor students. Other students are also welcome to enroll, but must have the necessary mathematical skills. A short history of mathematical population dynamics Posted on Febru by Artem Novozhilov This is a very recent book that provides a short overview of some of the major accomplishments of the mathematical modeling in biological sciences for the last thousand years.

The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike.

This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept, with an emphasis on helping the reader develop appropriate. have discovered, and Mathematics is the language ofchoice here. The rise of the Physical Sciences and the Engineering that rests upon it has beneﬁted from, and contributed to, the Mathematics that we now have.

And practical people wouldn’t buy the stuﬀ ifit didn’t work. Well, exactly the same factors make Mathematics useful to other. Eduardo D. Sontag, Lecture Notes on Mathematical Biology 7 (ﬁ20 new individuals formed) 20 less nutrientﬂ).

It follows that d dt (C + N) = dC dt + dN dt = KN + KN = 0 and therefore C(t)+ N(t) must be constant, which we call ﬁC0ﬂ2. (we use this notation because C(0)+ N(0) ˇ C(0), if the population starts as N(0) ˇ 0).File Size: 2MB.Mathematics in Population Biology.

Horst R. Thieme. and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept, with.

Buy Mathematical Population Biology (Cambridge Studies in Mathematical Biology) by Hoppensteadt, Frank C. (ISBN: ) from Amazon's Book Store. Free UK delivery on eligible : Frank C. Hoppensteadt.