Modelling Biological Populations in Space and Time

This volume unifies population studies emphasising the interplay between modelling and experimentation.

Eric Renshaw (Author)

9780521448550, Cambridge University Press

Paperback, published 26 August 1993

424 pages
22.7 x 15 x 3 cm, 0.597 kg

"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

This volume develops a unifying approach to population studies, emphasising the interplay between modelling and experimentation. Throughout, mathematicians and biologists are provided with a framework within which population dynamics can be fully explored and understood. Aspects of population dynamics covered include 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. Both deterministic and stochastic models are considered. Whilst the more theoretically orientated sections will appeal to mathematical biologists, the material is presented so that readers with little mathematical expertise can bypass these without losing the main flow of the text.

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.

Subject Areas: Mathematical modelling [PBWH]