Analytical Theory Of Biological Populations

Author : Alfred J. Lotka
Publisher : Springer Science & Business Media
ISBN 13 : 1475791763
Total Pages : 266 pages
Book Rating : 4.61/5 ( download)

DOWNLOAD NOW!

Download or read book Analytical Theory of Biological Populations written by Alfred J. Lotka and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 50 years that have passed since Alfred Latka's death in 1949 his position as the father of mathematical demography has been secure. With his first demographic papers in 1907 and 1911 (the latter co authored with F. R. Sharpe) he laid the foundations for stable population theory, and over the next decades both largely completed it and found convenient mathematical approximations that gave it practical applica tions. Since his time, the field has moved in several directions he did not foresee, but in the main it is still his. Despite Latka's stature, however, the reader still needs to hunt through the old journals to locate his principal works. As yet no exten sive collections of his papers are in print, and for his part he never as sembled his contributions into a single volume in English. He did so in French, in the two part Theorie Analytique des Associations Biologiques (1934, 1939). Drawing on his Elements of Physical Biology (1925) and most of his mathematical papers, Latka offered French readers insights into his biological thought and a concise and mathematically accessible summary of what he called recent contributions in demographic analy sis. We would be accurate in also calling it Latka's contributions in demographic analysis.

Author : Institute of Mathematics and Its Applications
Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.80/5 ( download)

DOWNLOAD NOW!

Download or read book The Mathematical Theory of the Dynamics of Biological Populations written by Institute of Mathematics and Its Applications and published by . This book was released on 1973 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Mark Herbert Williamson
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.45/5 ( download)

DOWNLOAD NOW!

Download or read book The Analysis of Biological Populations written by Mark Herbert Williamson and published by . This book was released on 1972 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : B.-S. Goh
Publisher : Elsevier
ISBN 13 : 0444599622
Total Pages : 299 pages
Book Rating : 4.29/5 ( download)

DOWNLOAD NOW!

Download or read book Management and Analysis of Biological Populations written by B.-S. Goh and published by Elsevier. This book was released on 2012-12-02 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Management and Analysis of Biological Populations demonstrates the usefulness of optimal control theory in the management of biological populations and the Liapunov function in simulating an ecosystem model under large perturbations of its initial state and continual disturbances on its dynamics. The first chapter of the book introduces the topic by presenting the different models in ecology and discussing the stability concepts, the ecological engineering, and various relevant functions in ecosystem modeling. The next chapter contains a brief survey of static optimization techniques and optimal control theory for systems, which are modeled by differential and difference equations. Another chapter covers methods that use Liapunov and Liapunov-like functions to establish that a given population model is stable relative to finite perturbations of its initial state and that it is non-vulnerable relative to large continual disturbances. The book also covers fisheries and logistic modeling, including a discussion of a few management problems. Moreover, this reference considers stability in an ecosystem model with complexities due to species richness, nonlinearities, time delays, and spatial heterogeneity. Finally, it explains how to manage pests and greenhouse crops. The book is an excellent reference source for students and professionals in ecology and environmental engineering. Research professionals and extended workers in agriculture and agronomy will also find this book invaluable.

Author : F. B. Christiansen
Publisher : Springer Science & Business Media
ISBN 13 : 3642665268
Total Pages : 153 pages
Book Rating : 4.64/5 ( download)

DOWNLOAD NOW!

Download or read book Theories of Populations in Biological Communities written by F. B. Christiansen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: When we wrote this book it was, admittedly, flrst of all for the sake of our own enjoyment and enlightenment. We will, however, add our sincerely meant (but rather traditional) hope that it will prove interesting to graduate students, to colleagues and to anyone else, who will bother to read it. The book was written as a joint effort by a theoretically inclined population geneticist and an experimental ecologist who share opinions on what is interesting in the fleld of theoretical ecology. While we believe that qualifled natural history is of indisputable intrinsic value, we think that ecology is a natural science which should have a theoretical framework. On the other hand, theoretical ecology must draw its inspiration from nature and yield results which give insight into the flndings of the naturalist and inspire him to make new observations and experiments. Without this relationship between fleld biology and theory, mathe matical ecology may become a discipline totally divorced from biology and solve-albeit interesting-mathematical problems without signiflcance for ecology. Therefore, in addition to theoretical population biology (including some original models) the book also discusses observational data from nature to show how the theoretical models give new insight and how observations give rise to new theoretical thought. While no book on ecology could do without the mention of the hare-lynx example (and ours is, therefore, no exception) we have tried to bring new examples mainly derived from one of the authors' fleld of experience: microbial ecology and marine biology.

Author : M. S. Bartlett
Publisher :
ISBN 13 :
Total Pages : 347 pages
Book Rating : 4.85/5 ( download)

DOWNLOAD NOW!

Download or read book The Mathematical Theory of the Dynamics of Biological Populations written by M. S. Bartlett and published by . This book was released on 1974 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Wayne M. Getz
Publisher : Princeton University Press
ISBN 13 : 9780691085166
Total Pages : 416 pages
Book Rating : 4.61/5 ( download)

DOWNLOAD NOW!

Download or read book Population Harvesting written by Wayne M. Getz and published by Princeton University Press. This book was released on 1989-04-21 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whether in felling trees for wood, rearing insects for biological control, or culling animals for conservation purposes, efficient management of biological systems requires quantitative analysis of population growth and harvesting policies. Aiming to encourage the exchange of ideas among scientists involved in the management of fisheries, wildlife, forest stands, and pest control, the authors of this work present a general framework for modeling populations that reproduce seasonally and that have age or stage structure as an essential component of management strategy. The book represents the first time that examples from such diverse areas of biological resource management have been brought together in a unified modeling framework using the standard notation of mathematical systems theory. In addition, the authors combine a nonlinear extension of Leslie matrix theory and certain linear elements, thereby permitting interesting analytical results and the creation of compact, realistic simulation models of resource systems.

Author : Michael C. Whitlock
Publisher : Macmillan Higher Education
ISBN 13 : 1319226299
Total Pages : 2074 pages
Book Rating : 4.99/5 ( download)

DOWNLOAD NOW!

Download or read book The Analysis of Biological Data written by Michael C. Whitlock and published by Macmillan Higher Education. This book was released on 2019-11-22 with total page 2074 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Analysis of Biological Data provides students with a practical foundation of statistics for biology students. Every chapter has several biological or medical examples of key concepts, and each example is prefaced by a substantial description of the biological setting. The emphasis on real and interesting examples carries into the problem sets where students have dozens of practice problems based on real data. The third edition features over 200 new examples and problems. These include new calculation practice problems, which guide the student step by step through the methods, and a greater number of examples and topics come from medical and human health research. Every chapter has been carefully edited for even greater clarity and ease of use. All the data sets, R scripts for all worked examples in the book, as well as many other teaching resources, are available to qualified instructors (see below).

Author : Xiao-Qiang Zhao
Publisher : Springer Science & Business Media
ISBN 13 : 0387217614
Total Pages : 285 pages
Book Rating : 4.11/5 ( download)

DOWNLOAD NOW!

Download or read book Dynamical Systems in Population Biology written by Xiao-Qiang Zhao and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Population dynamics is an important subject in mathematical biology. A cen tral problem is to study the long-term behavior of modeling systems. Most of these systems are governed by various evolutionary equations such as difference, ordinary, functional, and partial differential equations (see, e. g. , [165, 142, 218, 119, 55]). As we know, interactive populations often live in a fluctuating environment. For example, physical environmental conditions such as temperature and humidity and the availability of food, water, and other resources usually vary in time with seasonal or daily variations. Therefore, more realistic models should be nonautonomous systems. In particular, if the data in a model are periodic functions of time with commensurate period, a periodic system arises; if these periodic functions have different (minimal) periods, we get an almost periodic system. The existing reference books, from the dynamical systems point of view, mainly focus on autonomous biological systems. The book of Hess [106J is an excellent reference for periodic parabolic boundary value problems with applications to population dynamics. Since the publication of this book there have been extensive investigations on periodic, asymptotically periodic, almost periodic, and even general nonautonomous biological systems, which in turn have motivated further development of the theory of dynamical systems. In order to explain the dynamical systems approach to periodic population problems, let us consider, as an illustration, two species periodic competitive systems dUI dt = !I(t,Ul,U2), (0.

Author : Freddy Bugge Christiansen
Publisher : Springer
ISBN 13 : 9783540080107
Total Pages : 144 pages
Book Rating : 4.04/5 ( download)

DOWNLOAD NOW!

Download or read book Theories of Populations in Biological Communities written by Freddy Bugge Christiansen and published by Springer. This book was released on 1977-02-01 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: When we wrote this book it was, admittedly, flrst of all for the sake of our own enjoyment and enlightenment. We will, however, add our sincerely meant (but rather traditional) hope that it will prove interesting to graduate students, to colleagues and to anyone else, who will bother to read it. The book was written as a joint effort by a theoretically inclined population geneticist and an experimental ecologist who share opinions on what is interesting in the fleld of theoretical ecology. While we believe that qualifled natural history is of indisputable intrinsic value, we think that ecology is a natural science which should have a theoretical framework. On the other hand, theoretical ecology must draw its inspiration from nature and yield results which give insight into the flndings of the naturalist and inspire him to make new observations and experiments. Without this relationship between fleld biology and theory, mathe matical ecology may become a discipline totally divorced from biology and solve-albeit interesting-mathematical problems without signiflcance for ecology. Therefore, in addition to theoretical population biology (including some original models) the book also discusses observational data from nature to show how the theoretical models give new insight and how observations give rise to new theoretical thought. While no book on ecology could do without the mention of the hare-lynx example (and ours is, therefore, no exception) we have tried to bring new examples mainly derived from one of the authors' fleld of experience: microbial ecology and marine biology.