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Modelling Biological Populations in Space and Time
     

Modelling Biological Populations in Space and Time

by Eric Renshaw, L. A. Segel, F. C. Hoppensteadt, C. Cannings
 

ISBN-10: 0521448557

ISBN-13: 9780521448550

Pub. Date: 09/28/1993

Publisher: Cambridge University Press

This volume develops a unifying approach to population studies that emphasizes the interplay between modeling and experimentation and that will provide mathematicians and biologists with a framework within which population dynamics can be fully explored and understood. A unique feature of the book is that deterministic and stochastic models are considered together;

Overview

This volume develops a unifying approach to population studies that emphasizes the interplay between modeling and experimentation and that will provide mathematicians and biologists with a framework within which population dynamics can be fully explored and understood. A unique feature of the book is that deterministic and stochastic models are considered together; spatial effects are investigated by developing models that highlight the consequences that geographical restriction and species mobility may have on population development. Model-based simulations of processes are used to explore hitherto unforeseen features and thereby suggest further profitable lines of both experimentation and theoretical study. Most aspects of population dynamics are covered, including 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.

Product Details

ISBN-13:
9780521448550
Publisher:
Cambridge University Press
Publication date:
09/28/1993
Series:
Cambridge Studies in Mathematical Biology Series , #11
Edition description:
Reprint
Pages:
424
Product dimensions:
5.98(w) x 8.98(h) x 0.94(d)

Table of Contents

Preface; A list of symbols and notation; 1. Introductory remarks; 2. Simple birth-death processes; 3. General birth-death processes; 4. Time-lag models of population growth; 5. Competition processes; 6. Predator-prey processes; 7. Spatial predator-prey systems; 8. Fluctuating environments; 9. Spatial population dynamics; 10. Epidemic processes; 11. Linear and branching architectures; References; Author index; Subject index.

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