Dynamical Systems in Population Biology

Dynamical Systems in Population Biology
Author :
Publisher : Springer Science & Business Media
Total Pages : 285
Release :
ISBN-10 : 9780387217611
ISBN-13 : 0387217614
Rating : 4/5 (614 Downloads)

Book Synopsis Dynamical Systems in Population Biology by : Xiao-Qiang Zhao

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.


Dynamical Systems in Population Biology Related Books

Dynamical Systems in Population Biology
Language: en
Pages: 285
Authors: Xiao-Qiang Zhao
Categories: Mathematics
Type: BOOK - Published: 2013-06-05 - Publisher: Springer Science & Business Media

GET EBOOK

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 sy
Complex Population Dynamics
Language: en
Pages: 470
Authors: Peter Turchin
Categories: Science
Type: BOOK - Published: 2003-02-02 - Publisher: Princeton University Press

GET EBOOK

Why do organisms become extremely abundant one year and then seem to disappear a few years later? Why do population outbreaks in particular species happen more
Dynamical Systems for Biological Modeling
Language: en
Pages: 482
Authors: Fred Brauer
Categories: Mathematics
Type: BOOK - Published: 2015-12-23 - Publisher: CRC Press

GET EBOOK

Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to und
Nonlinear Dynamics of Interacting Populations
Language: en
Pages: 224
Authors: A. D. Bazykin
Categories: Science
Type: BOOK - Published: 1998 - Publisher: World Scientific

GET EBOOK

This book contains a systematic study of ecological communities of two or three interacting populations. Starting from the Lotka-Volterra system, various regula
Structured Population Models in Biology and Epidemiology
Language: en
Pages: 314
Authors: Pierre Magal
Categories: Mathematics
Type: BOOK - Published: 2008-04-12 - Publisher: Springer

GET EBOOK

In this new century mankind faces ever more challenging environmental and publichealthproblems,suchaspollution,invasionbyexoticspecies,theem- gence of new disea