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Modelling Biological Populations in Space and Time (Cambridge Studies in Mathematical Biology)
 
 
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Modelling Biological Populations in Space and Time (Cambridge Studies in Mathematical Biology) [Paperback]

Eric Renshaw (Author)

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Book Description

September 24, 1993 0521448557 978-0521448550
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.

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Editorial Reviews

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"...an excellent introduction to the world of deterministic and stochastic models for population growth, both for students of applied mathematics and statistics at the undergraduate and postgraduate level and for advanced students of theoretical biology." Andris Abakuks, Mathematical Reviews

"An excellent reference for the class of mathematical models that it considers....The quality of the book is high....As an applied statistician with an interest--and some background--in the models discussed, I found the book easy to read, extremely useful, and its perspective sensible. It is well worth its price." Judy Zeh, Journal of the American Statistical Association

Book Description

Emphasizing the interplay between modeling and experimentation, this volume aims to develop a unifying approach to population studies that will provide mathematicians and biologists with a framework within which population dynamics can be fully explored and understood.

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Inside This Book (learn more)
First Sentence:
Of all areas of ecology, population biology is perhaps the most mathematically developed, and has involved a long history of mathematicians fascinated by problems associated with the dynamics of population development. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
structural root systems, deterministic equilibrium point, simple birth process, stochastic cycles, damped cycles, pure death process, pure birth process, mean population size, sheep data, canopy growth, prey extinction, deterministic cycles, stochastic trajectories, epidemic process, new infectives, stochastic realization, general epidemic, stochastic behaviour, logistic process, cyclic behaviour, deterministic prediction, net growth rate, deterministic trajectories, discrete time points, epidemic curve
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Maynard Smith, South Australian, Inspection of Figure, Central Europe, Kluwer Academic Publishers
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