Modelling biological populations in space and time

Eric Renshaw

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.

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[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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この本の情報

書名 Modelling biological populations in space and time
著作者等 Renshaw, Eric
Hoppensteadt, Frank C.
Segel, L. A.
Cannings, C.
シリーズ名 Cambridge studies in mathematical biology
出版元 Cambridge University Press
刊行年月 1993
ページ数 xvii, 403 p.
大きさ 23 cm
ISBN 0521448557
NCID BA21136401
※クリックでCiNii Booksを表示
言語 英語
出版国 イギリス
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