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  • 1
    Book
    Book
    Modelling biological populations in space and time / (1991)
    Cambridge [u. a.] :Cambridge Univ. Press,
    Details
    UID:
    almahu_BV025857840
    Format: XVII, 403 S.
    Edition: 1. publ.
    ISBN: 0-521-30388-5
    Series Statement: Cambridge studies in mathematical biology 11
    Language: English
    Subjects: Economics
    RVK:
    QH 252
    Keywords: Populationsdynamik ; Mathematisches Modell ; Populationsbiologie ; Mathematisches Modell
    URL: Verlagsangaben
    URL: Inhaltsverzeichnis
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Online Resource
    Online Resource
    Modelling biological populations in space and time / (1990)
    Cambridge :Cambridge University Press,
    Details
    UID:
    almafu_9960119259502883
    Format: 1 online resource (xvii, 403 pages) : , digital, PDF file(s).
    ISBN: 0-511-62409-3
    Series Statement: Cambridge studies in mathematical biology ; 11
    Content: 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.
    Note: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , Cover -- Frontmatter -- Contents -- Dedication -- Preface -- A list of symbols and notation -- Introductory remarks -- 1.1 Deterministic or stochastic models? -- 1.2 Single-species populations -- 1.3 Two-species populations -- 1.4 The spatial effect -- 1.5 Related topics -- Simple birth-death processes -- 2.1 The pure birth process -- 2.2 The pure death process -- 2.3 The simple linear birth and death process -- 2.4 The simple immigration-birth-death process -- Appendix -- General birth-death processes -- 3.1 General population growth -- 3.2 Logistic population growth -- 3.3* Quasi-equilibrium probabilities -- 3.4 Simulation of the general population process -- 3.5 The Normal approximation to the quasi-equilibrium probabilities -- 3.6* Probability of ultimate extinction -- 3.7 Mean time to extinction -- 3.8 Probability of extinction by time t -- 3.9 Comparison of approximate quasi-equilibrium probability distributions -- 3.10 The diffusion approximation -- 3.11 Application to the yeast and sheep data -- Appendix -- Time-lag models of population growth -- 4.1 Introduction -- 4.2 Reaction time-lag - deterministic analysis -- 4.3 Reaction time-lag - stochastic analysis -- 4.4 More general deterministic models -- 4.5 Periodic and chaotic solutions -- 4.6 Analysis of field and laboratory data -- 4.7 Nicholson's blowflies -- 4.8 Simulation of the two blowfly models -- Appendix -- Competition processes -- 5.1 Introduction -- 5.2 Experimental background -- 5.3 Stability -- 5.4 Stochastic behaviour -- 5.5* Probability equations -- 5.6 Extinction -- 5.7* Quasi-equilibrium probabilities -- Predator-prey processes -- 6.1 The Lotka-Volterra model -- 6.2 The Volterra model -- 6.3 The Leslie and Gower model -- 6.4 The Holling-Tanner model -- 6.5 A model for prey-cover -- 6.6 Final comments -- Spatial predator-prey systems -- 7.1 Huffaker's experiments. , 7.2 Simulation of the spatial Lotka-Volterra model -- 7.3 Matrix representation -- Fluctuating environments -- 8.1 Deterministic variability -- 8.2 Jillson's flour beetle experiment -- 8.3 Stochastic behaviour with deterministic variability -- 8.4 Random environments -- 8.5 The Canadian lynx data -- Spatial population dynamics -- 9.1 The simple random walk -- 9.2 Brownian motion -- 9.3 Application of diffusion processes -- 9.4 Stepping-stone models (1) -- 9.5 The two-colony model -- 9.6 Stepping-stone models (2) -- 9.7 An application to the spread of Tribolium confusum -- 9.8 Simulation of the diffusion and stepping-stone processes -- 9.9 Spatial predator-prey processes revisited -- 9.10 Turing's model for morphogenesis -- Epidemic processes -- 10.1 Introduction -- 10.2 Simple epidemics -- 10.3 General epidemics -- 10.4 Recurrent epidemics -- 10.5 An extension to malaria -- 10.6 Spatial models -- Linear and branching architectures -- 11.1 The spatial distribution of Epilobium angustifolium in a recently thinned woodland -- 11.2 Spatial branching models for canopy growth -- 11.3 Spatial branching models for structural root systems -- 11.4 Discussion of the role of simulation -- References -- Author index -- Subject index. , English
    Additional Edition: ISBN 0-521-44855-7
    Additional Edition: ISBN 0-521-30388-5
    Language: English
    URL: https://doi.org/10.1017/CBO9780511624094
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    HU Berlin
    FU Berlin
  • 3
    Online Resource
    Online Resource
    Modelling biological populations in space and time (1991)
    Cambridge : Cambridge University Press
    Details
    UID:
    gbv_883328631
    Format: 1 Online-Ressource (xvii, 403 Seiten) , Illustrationen
    Edition: Online-Ausgabe Cambridge Cambridge University Press 2012
    ISBN: 9780511624094
    Series Statement: Cambridge studies in mathematical biology 11
    Content: 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
    Additional Edition: ISBN 9780521303880
    Additional Edition: ISBN 9780521448550
    Additional Edition: Erscheint auch als Druckausgabe Hoppensteadt, Frank C. Mathematical methods of population biology Cambridge [u.a.] : Cambridge Univ. Press, 1982 ISBN 0521238463
    Additional Edition: ISBN 052128256X
    Language: English
    Subjects: Biology , Mathematics
    RVK:
    SK 950
    RVK:
    WC 7000
    RVK:
    WG 8200
    Keywords: Populationsbiologie ; Mathematisches Modell ; Biometrie
    DOI: 10.1017/CBO9780511624094
    URL: Volltext
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    UB Potsdam
  • 4
    Book
    Book
    Modelling biological populations in space and time (1995)
    Cambridge : Cambridge Univ. Press
    Details
    UID:
    b3kat_BV026736773
    Format: VII, 403 S.: Ill.
    Edition: 1. publ. 1991, repr.
    ISBN: 0521303885 , 0521448557
    Series Statement: Cambridge studies in mathematical biology 11
    Language: English
    Subjects: Biology
    RVK:
    WC 7000
    Keywords: Populationsdynamik ; Mathematisches Modell ; Populationsbiologie ; Mathematisches Modell
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    MfN Berlin get availability status
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