Modelling biological populations in space and time

書誌事項

Modelling biological populations in space and time

Eric Renshaw

(Cambridge studies in mathematical biology, 11)

Cambridge University Press, 1993

  • : pbk

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注記

Bibliography: p. [385]-393

Includes indexes

内容説明・目次

内容説明

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.

目次

  • 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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