Search Images Maps Play YouTube News Gmail Drive More »
My library | Help | Advanced Book Search | Web History | Sign in

Books

Elements of Mathematical Ecology

Front Cover
2 Reviews
Cambridge University Press, Jul 19, 2001 - Science - 453 pages
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 throughout the text that aid understanding, and supplementary mathematical and historical material that enrich the main text.
  

What people are saying - Write a review

We haven't found any reviews in the usual places.

Related books

Contents

SINGLESPECIES MODELS
3
Harvest models bifurcations and breakpoints
13
Stochastic birth and death processes
25
Discretetime models
43
Delay models
70
Branching processes
93
INTERACTING POPULATIONS
107
To cycle or not to cycle
116
SPATIALLY STRUCTURED MODELS
267
Spatial steady states linear problems
276
Spatial steady states nonlinear problems
294
Models of spread
311
AGESTRUCTURED MODELS
345
The Lotka integral equation
353
The difference equation
365
The Leslie matrix
377

Global bifurcations in predatorprey models
140
Chemostat models
161
Discretetime predatorprey models
181
Competition models
198
Mutualism models
220
DYNAMICS OF EXPLOITED POPULATIONS
237
STRUCTURED POPULATION MODELS
265
The McKendrickvon Foerster PDE
391
Some simple nonlinear models
401
SEXSTRUCTURED MODELS
413
References
425
Author index
443
Subject index
447
Copyright

Other editions - View all

Common terms and phrases

Popular passages

Page 441 - Bacteriol . , 26:74. van Gemerden, H., 1974, Coexistence of organisms competing for the same substrate: an example among the purple sulphur bacteria, Microb.
Page 436 - M. (1980). Stability Analysis of Commensal and Mutual Relations with Competitive Assimilation in Continuous Mixed Culture.
Page 441 - Veldkamp, H. and Jannasch, HW 1972. Mixed culture studies with the chemostat. Journal of Applied Chemistry and Biotechnology, 22, 105-123. Verhulst, F. 1996. Nonlinear Differential Equations and Dynamical Svstems. Springer- Verlag, Berlin. Verhulst, P.-F. 1845. Recherches mathematiques sur la loi d'accroissement de la population. Noveaux Meoires de I' Academic Rovale des Sciences et Belles Lettres de Bruxelles, 18, 3-38.
Page 438 - Y. 1993. Multiple attractors, catastrophes and chaos in seasonally perturbed predator-prey communities. Bulletin of Mathematical Biology, 55, 15-35.
Page 429 - Finch, CE 1990. Longevity, Senescence, and the Genome. University of Chicago Press, Chicago.
Page 435 - Lindstrom, J. and Kokko, H. 1998. Sexual reproduction and population dynamics: the role of polygyny and demographic sex differences. Proceedings of the Royal Society of London, Series B 265, 483-488.

References to this book

From other books

Scalable Performance Signalling and Congestion Avoidance
The Theoretical Biologist's Toolbox: Quantitative Methods for Population Biology
All Book Search results »

From Google Scholar

Marine reserves and optimal harvesting
Ecology Letters - 2003 - Ecology Letters
Dynamic patterns of adaptive radiation
Sergey Gavrilets, Aaron Vose - 2005 - Proceedings of the National Academy of Sciences
A unified theory for macroecology based on spatial patterns of ...
Brian McGill, Cathy Collins - 2003 - Evolutionary Ecology Research
All Scholar search results »

References from web pages

Kot, M. (2001). Elements of Mathematical Ecology
%22.5(9,(: .RW 0 (OHPHQWV RI 0DWKHPDWLFDO (FRORJ\ &DPEULGJH 8QLYHUVLW\ 3UHVV. &DPEULGJH SS ,6%1 ;. 0DWKHPDWLFVLVWKHODQJXDJHRIVFLHQFHEHFDXVHLWVYLUWXHV± ...
www.springerlink.com/ index/ HQK2WJAAF8LYV793.pdf

Elements of Mathematical Ecology | Northeastern Naturalist | Find ...
Elements of Mathematical Ecology from Northeastern Naturalist in Reference provided free by Find Articles.
findarticles.com/ p/ articles/ mi_qa3845/ is_200101/ ai_n8948170

ingentaconnect Kot, M. (2001). Elements of Mathematical Ecology
Elements of Mathematical Ecology. Author: Drake jm1. Source: Acta Biotheoretica, Volume 50, Number 3, 2002 , pp. 205-207(3). Publisher: Springer. Abstract: ...
www.ingentaconnect.com/ content/ klu/ acbi/ 2002/ 00000050/ 00000003/ 05095407;jsessionid=kzo5bkttcjtk.alice?format=print

Elements of Mathematical Ecology
Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. ...
assets.cambridge.org/ 052180/ 213X/ description/ 052180213X_description.htm

livre elements of mathematical ecology, ecologie, ressources ...
Elements of mathematical ecology. Auteur(s) : KOT Mark Date de parution: 08-2001 Langue : ANGLAIS 350p. 17x25 Hardback Etat : Disponible chez l'éditeur ...
www.lavoisier.fr/ notice/ frWVO2R3OBSRE3AO.html

Applied Mathematics: Faculty
Elements of Mathematical Ecology. Cambridge University Press, Cambridge, UK, x + 453 pp. (2nd corrected printing in 2003) ...
www.amath.washington.edu/ people/ faculty/ kot/ publications.html

elements of ecology, 14 bøger på Bogpriser.dk
Elements of Mathematical Ecology. Mark Kot. Indbundet. Sammenlign Elements of Mathematical Ecology · Elements of Mathematical Ecology. Mark Kot ...
www.bogpriser.dk/ titel-elements-of-ecology/

Spring Semester 2007
Text: Elements of Mathematical Ecology by Mark Kot. Time: mwf 10:05 - 10:55. Back to the top of the page. Math 8803 CRO Combinatorial & Analytic Methods in ...
www.math.gatech.edu/ academic/ courses/ special.php?year=2007& quarter=2

Suggested Reading List - Department of Mathematics - The ...
Elements of Mathematical Ecology by Mark Kot (Cambridge, 2001). ... Kot. M. 2001. Elements of Mathematical Ecology. Cambridge University Press. ...
maths.york.ac.uk/ www/ MILE1149667636

Elements of Mathematical Ecology - Boek - BESLIST.nl
Bekijk en vergelijk informatie, beoordelingen, vragen & antwoorden en de beste winkels voor 'Elements of Mathematical Ecology' op BESLIST.nl ▪ Boeken ...
boeken_engels.beslist.nl/ boeken_engels/ d0000082968/ Elements_of_Mathematical_Ecology.html

Bibliographic information