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  • 1
    UID:
    almahu_BV046229414
    Format: 1 Online-Ressource (xviii, 619 Seiten) : , Illustrationen, Diagramme (teilweise farbig).
    ISBN: 978-1-4939-9828-9
    Series Statement: Texts in applied mathematics volume 69
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-1-4939-9826-5
    Language: English
    Subjects: Biology , Mathematics , Medicine
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    Keywords: Epidemiologie ; Angewandte Mathematik
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Cover
    Author information: Brauer, Fred, 1932-,
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  • 2
    UID:
    almahu_9947363209202882
    Format: XXIII, 417 p. 5 illus. , online resource.
    ISBN: 9781475735161
    Series Statement: Texts in Applied Mathematics, 40
    Content: As the world population exceeds the six billion mark, questions of population explosion, of how many people the earth can support and under which conditions, become pressing. Some of the questions and challenges raised can be addressed through the use of mathemathical models, but not all. The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions such as these. Part I focusses on single-species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models - the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity - the subject of Part III. This book, which includes both examples and exercises, will be useful to practitioners, graduate students, and scientists working in the field.
    Note: I Simple Single Species Models -- 1 Continuous Population Models -- 2 Discrete Population Models -- 3 Continuous Single-Species Population Models with Delays -- II Models for Interacting Species -- 4 Introduction and Mathematical Preliminaries -- 5 Continuous Models for Two Interacting Populations -- 6 Harvesting in two-species models -- III Structured Populations Models -- 7 Basic Ideas of Mathematical Epidemiology -- 8 Models for Populations with Age Structure -- Epilogue -- IV Appendix -- A Answers to Selected Exercises -- References.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9781441931825
    Language: English
    URL: Volltext  (lizenzpflichtig)
    URL: Cover
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  • 3
    UID:
    almafu_BV002727917
    Format: VII, 327 S. : , graph. Darst.
    ISBN: 3-540-51820-7 , 0-387-51820-7
    Series Statement: Lecture notes in biomathematics 81
    Note: Literaturangaben
    Language: English
    Subjects: Mathematics
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    Keywords: Epidemiologie ; Mathematisches Modell ; Rohstoffversorgung ; Biotechnologie ; Ökonometrisches Modell ; Konferenzschrift ; Konferenzschrift
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  • 4
    UID:
    gbv_319021491
    Format: XXIII, 416 S , graph. Darst , 24 cm
    ISBN: 0387989021
    Series Statement: Texts in applied mathematics 40
    Note: Includes bibliographical references
    Language: English
    Subjects: Economics , Biology , Mathematics
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    Keywords: Populationsbiologie ; Mathematisches Modell ; Epidemiologie
    Author information: Brauer, Fred 1932-
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  • 5
    UID:
    almahu_BV040442816
    Format: XXIII, 508 S. : , graph. Darst.
    Edition: 2. ed.
    ISBN: 978-1-4614-1685-2 , 978-1-4899-9398-4
    Series Statement: Texts in applied mathematics 40
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-4614-1686-9
    Language: English
    Subjects: Economics , Biology , Mathematics
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    Keywords: Populationsbiologie ; Mathematisches Modell ; Epidemiologie ; Mathematisches Modell
    Author information: Brauer, Fred, 1932-
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  • 6
    UID:
    almahu_BV013769224
    Format: XXIII, 416 S. : graph. Darst.
    ISBN: 0-387-98902-1
    Series Statement: Texts in applied mathematics 40
    Language: English
    Subjects: Economics , Biology , Mathematics
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    Keywords: Populationsbiologie ; Mathematisches Modell ; Epidemiologie ; Mathematisches Modell
    Author information: Brauer, Fred, 1932-
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  • 7
    UID:
    b3kat_BV036492675
    Format: 1 Online-Ressource
    ISBN: 9789048123131
    Language: English
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  • 8
    UID:
    b3kat_BV039776514
    Format: 1 Online-Ressource
    Edition: 2. ed.
    ISBN: 9781461416852 , 9781461416869
    Series Statement: Texts in applied mathematics 40
    Language: English
    Subjects: Economics , Biology , Mathematics
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    Keywords: Populationsbiologie ; Mathematisches Modell ; Epidemiologie ; Mathematisches Modell
    Author information: Brauer, Fred 1932-
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  • 9
    UID:
    almahu_9947363157902882
    Format: VII, 327 p. 48 illus. , online resource.
    ISBN: 9783642466939
    Series Statement: Lecture Notes in Biomathematics, 81
    Content: Increasingly, mathematical methods are being used to advantage in addressing the problems facing humanity in managing its environment. Problems in resource management and epidemiology especially have demonstrated the utility of quantitative modeling. To explore these approaches, the Center of Applied Mathematics at Cornell University organized a conference in Fall, 1987, with the objective of surveying and assessing the state of the art. This volume records the proceedings of that conference. Underlying virtually all of these studies are models of population growth, from individual cells to large vertebrates. Cell population growth presents the simplest of systems for study, and is of fundamental importance in its own right for a variety of medical and environmental applications. In Part I of this volume, Michael Shuler describes computer models of individual cells and cell populations, and Frank Hoppensteadt discusses the synchronization of bacterial culture growth. Together, these provide a valuable introduction to mathematical cell biology.
    Note: I. Cell Population Dynamics -- Computer Models of Individual Living Cells in Cell Populations -- Synchronization of Bacterial Culture Growth -- II. Resource Management -- Biological Resource Modeling—A Brief Survey -- Mathematical Modeling in Plant Biology: Implications of Physiological Approaches for Resource Management -- Economics, Mathematical Models and Environmental Policy -- Stochastic Nonlinear Optimal Control of Populations: Computational Difficulties and Possible Solutions -- Optimal Evolution of Tree-Age Distribution for a Tree Farm -- III. Infectious Diseases -- Mathematical Models of Infectious Diseases in Multiple Populations -- Epidemic Models in Populations of Varying Size -- Stability and Thresholds in Some Age-Structured Epidemics -- Multiple Time Scales in the Dynamics of Infectious Diseases -- A Distributed-Delay Model for the Local Population Dynamics of a Parasitoid-Host System -- IV. Acquired Immunodefiency Syndrome (AIDS) -- A Model for HIV Transmission and AIDS -- The Role of Long Periods of Infectiousness in the Dynamics of Acquired Immunodeficiency Syndrome (AIDS) -- The Effect of Social Mixing Patterns on the Spread of AIDS -- Possible Demographic Consequences of HIV/AIDS Epidemics: II, Assuming HIV Infection Does Not Necessarily Lead to AIDS -- V. Fitting Models to Data -- Fitting Mathematical Models to Biological Data: A Review of Recent Developments -- Inverse Problems for Distributed Systems: Statistical Tests and Anova -- Small Models are Beautiful: Efficient Estimators are Even More Beautiful -- VI. Dynamic Properties of Population Models -- Inferring the Causes of Population Fluctuations -- Stochastic Growth Models: Recent Results and Open Problems -- Use Differential Geometry with the Secret Ingredient: Gradients! -- Obstacles to Modelling Large Dynamical Systems.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9783540518204
    Language: English
    Keywords: Konferenzschrift
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  • 10
    Online Resource
    Online Resource
    Berlin, Heidelberg :Springer Berlin Heidelberg,
    UID:
    almahu_9947363414302882
    Format: IX, 405 p. 20 illus. , online resource.
    ISBN: 9783642934544
    Series Statement: Lecture Notes in Biomathematics, 83
    Content: The 18 research articles of this volume discuss the major themes that have emerged from mathematical and statistical research in the epidemiology of HIV. The opening paper reviews important recent contributions. Five sections follow: Statistical Methodology and Forecasting, Infectivity and the HIV, Heterogeneity and HIV Transmission Dynamics, Social Dynamics and AIDS, and The Immune System and The HIV. In each, leading experts in AIDS epidemiology present the recent results. Some address the role of variable infectivity, heterogeneous mixing, and long periods of infectiousness in the dynamics of HIV; others concentrate on parameter estimation and short-term forecasting. The last section looks at the interaction between the HIV and the immune system.
    Note: Statistical and Mathematical Approaches in HIV/AIDS Modeling: A Review -- I. Statistical Methodology and Forecasting -- Epidemic Models, Empirical Studies, and Uncertainty -- Predicting AIDS Incidence by Extrapolating from Recent Trends -- II. Infectivity and the Human Immunodeficiency Virus (HIV) -- Measuring HIV Infectivity -- The Stages of HIV Infection: Waiting Times and Infection Transmission Probabilities -- Modeling Heterogeneity in Susceptibility and Infectivity for HIV Infection -- On the Role of Variable Infectivity in the Dynamics of the Human Immunodeficiency Virus Epidemic -- III. Heterogeneity and HIV Transmission Dynamics -- Assessment of the Risk of HIV Spread Via Non-steady Heterosexual Partners in the U. S. Population -- On the Role of Long Incubation Periods in the Dynamics of Acquired Immunodeficiency Syndrome (AIDS). Part 2: Multiple Group Models -- Nonrandom Mixing Models of HIV Transmission -- IV. Social Dynamics and AIDS -- The Structure and Context of Social Interactions and the Spread of HIV -- Pair Formation in Sexually-Transmitted Diseases -- Mixing Framework for Social/Sexual Behavior -- Interaction, Pair Formation and Force of Infection Terms in Sexually Transmitted Diseases -- Structured Mixing: Heterogeneous Mixing by the Definition of Activity Groups -- Selective Contact within Structured Mixing with an Application to HIV Transmission Risk from Oral and Anal Sex -- V. The Immune System and the HIV -- Modeling the Interaction of the Immune System with HIV -- Modeling the Interaction of HIV with Cells of the Immune System -- When HIV meets the Immune System: Network Theory, Alloimmunity, Autoimmunity, and AIDS.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9783540521747
    Language: English
    Keywords: Aufsatzsammlung
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