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  • 1
    Online Resource
    Online Resource
    Mathematical models in epidemiology / (2019)
    New York, NY :Springer,
    Details
    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
    RVK:
    SK 990
    RVK:
    WC 7000
    RVK:
    XF 4300
    Keywords: Epidemiologie ; Angewandte Mathematik
    DOI: 10.1007/978-1-4939-9828-9
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Buchcover
    URL: Volltext  (URL des Erstveröffentlichers)
    URL: Buchcover
    URL: lizenzpflichtig
    URL: Cover
    Author information: Brauer, Fred, 1932-,
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    Online Access
    Open Access Request
    HU Berlin
    UB Potsdam
    HTW Berlin
    BTU Cottbus
    TU Berlin
  • 2
    Online Resource
    Online Resource
    Mathematical models of plant-herbivore interactions / (2018)
    Boca Raton, FL :CRC Press,
    Details
    UID:
    almahu_9949747560602882
    Format: 1 online resource (xix, 219 pages) : , illustrations
    Edition: First edition.
    ISBN: 9781315154138 , 1315154137 , 9781351650175 , 1351650173 , 1498769187 , 9781498769181 , 9781351640664 , 1351640666
    Series Statement: Chapman & Hall/CRC mathematical & computational biology
    Content: "Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory, including plant defense, herbivore natural enemies, and adaptive herbivory, as well as the effects of these on plant community dynamics. The result of extensive research on the use of mathematical modeling to investigate the effects of plant defenses on plant-herbivore dynamics, this book describes a toxin-determined functional response model (TDFRM) that helps explains field observations of these interactions. This book is intended for graduate students and researchers interested in mathematical biology and ecology."--Provided by publisher.
    Note: Cover; Half Title ; Aims and scope; Published Titles; Title ; Copy rights ; Dedication ; Contents; Foreword ; Preface ; List of Figures ; List of Tables ; Part I- Basic Theory and SimpleModels; Chapter 1. Introduction; 1.1 Types of plant-herbivore interactions; e.g., plant and herbivore diversity, types of herbivore feeding on plants. , 1.2 Plant growth and allocation 1.3 Modeling herbivore foraging strategies ; 1.4 The consequences of herbivore-plant interactions ; Chapter 2. Predator-Prey Interactions; 2.1 Beginnings of predator-prey modeling ; 2.2 Derivation of the Holling type 2 and type 3 functional responses. , 2.3 Incorporating the predator functional response into one-predator and one-prey equations 2.3.1 Equilibria of the one-prey one-predator system ; 2.4 Functional response for predation on two or more prey species ; 2.5 Stability of model equilibria ; Chapter 3. Overview of Some Results of Plant-Herbivore Models. , 3.1 Introduction 3.1.1 Non-interactive ; 3.1.2 Interactive ; 3.2 The theory of top-down control ; 3.3 Paradox of enrichment ; 3.4 Collapse of a grazer-plant system ; 3.5 Herbivore outbreaks ; 3.6 E ects of plant quality ; 3.7 Glossary ; Chapter 4. Models with Toxin-Determined Functional Response. , 4.1 A simple TDFRM with a single plant population 4.1.1 Derivation and emerging properties of the model ; 4.1.2 Dynamics for constant browsing preference ; 4.1.2.1 Bifurcation analysis ; 4.1.3 Dynamics for non-constant browsing preference.
    Additional Edition: Print version: ISBN 9781315154138
    Additional Edition: ISBN 9781498769181
    Language: English
    DOI: 10.1201/9781315154138
    URL: https://www.taylorfrancis.com/books/9781315154138
    URL: https://www.taylorfrancis.com/books/9781315154138
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    HU Berlin
  • 3
    Online Resource
    Online Resource
    Disease evolution : models, concepts, and data analyses (2006)
    Providence, R.I. :American Mathematical Society,
    Details
    UID:
    almahu_9949218786802882
    Format: 1 online resource (xiii, 237 p. : ill.)
    Edition: Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
    ISBN: 9781470440282 (online)
    Series Statement: DIMACS Series in Discrete Mathematics and Theoretical Computer Science, v. 71
    Note: The implications of spatial structure within populations to the evolution of parasites , Insights from Price's equation into evolutionary epidemiology , Within-host pathogen dynamics: Some ecological and evolutionary consequences of transients, dispersal mode, and within-host spatial heterogeneity , Evolutionary and dynamic models of infection with internal host structure , Basic methods for modeling the invasion and spread of contagious diseases , Modeling the invasion and spread of contagious diseases in heterogeneous populations , A cophylogenetic perspective on host-pathogen evolution , The influence of anti-viral drug therapy on the evolution of HIV-1 pathogens , Do rhinoviruses follow the neutral theory? The role of cross-immunity in maintaining the diversity of the common cold , Drug resistance in acute viral infections: Rhinovirus as a case study , Dynamics and control of antibiotic resistance in structured metapopulations , Mode of access : World Wide Web
    Additional Edition: Print version: Disease evolution : ISSN 1052-1798 ISBN 9780821837535
    Language: English
    URL: Contents
    URL: Contents
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    HU Berlin
  • 4
    Book
    Book
    Mathematical models of plant-herbivore interactions / (2018)
    Boca Raton ; London ; New York :CRC Press,
    Details
    UID:
    almahu_BV044746626
    Format: XIX, 219 Seiten : , Illustrationen ; , 26 cm.
    ISBN: 978-1-4987-6917-4
    Series Statement: Chapman & Hall/CRC mathematical and computational biology series
    Note: Includes bibliographical references and index
    Additional Edition: Erscheint auch als Online-Ausgabe, PDF ISBN 9781498769181
    Language: English
    Subjects: Biology
    RVK:
    WI 1500
    RVK:
    WN 1950
    Keywords: Pflanzen ; Abwehrreaktion ; Herbivoren ; Mathematisches Modell
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    HU Berlin get availability status
  • 5
    Book
    Book
    Mathematical models in epidemiology / (2019)
    New York, NY :Springer,
    Details
    UID:
    almahu_BV046450857
    Format: xvii, 619 Seiten : , Illustrationen.
    ISBN: 978-1-4939-9826-5
    Series Statement: Texts in applied mathematics volume 69
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-4939-9828-9
    Language: English
    Subjects: Biology , Mathematics , Medicine
    RVK:
    SK 990
    RVK:
    WC 7000
    RVK:
    XF 4300
    Keywords: Epidemiologie ; Angewandte Mathematik
    URL: Buchcover
    Author information: Brauer, Fred, 1932-,
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  • 6
    Online Resource
    Online Resource
    Applications of epidemiological models to public health policymaking : the role of heterogeneity in model predictions (2014)
    Singapore :World Scientific,
    Details
    UID:
    almafu_9959242808402883
    Format: 1 online resource (306 p.)
    ISBN: 981-4522-35-X
    Content: Mathematical models can be very helpful to understand the transmission dynamics of infectious diseases. This book presents examples of epidemiological models and modeling tools that can assist policymakers to assess and evaluate disease control strategies. Contents: Development and Analysis of Models for Infectious Diseases; Application of Models to Real Disease Data; User-Friendly Modeling Tools for Public Health Policymakers. Readership: Researchers in mathematical biology, mathematical modeling, infectious diseases and complex systems.
    Note: Description based upon print version of record. , Preface; Acknowledgments; Contents; Mathematical Modeling in Epidemiology; 1. Epidemic Models; 1.1 Continuous-timemodels; 1.1.1 Simple SIR and SEIR epidemic models; 1.1.2 Reproduction number R and final epidemic size; 1.1.3 Final size relation in more complicated epidemic models; 1.2 Discrete-time models; 1.2.1 Simple discrete SIR and SEIR models; 1.2.2 Incorporation of quarantine and isolation; 1.2.3 Models with arbitrarily distributed stage durations; 1.2.4 Applications of the general model to specific distributions; 1.2.5 Control reproduction number RC and final epidemic size , 1.2.6 Influence of stage distributions on RC and final size1.2.7 More examples of using the NGM approach to compute R; 2. Endemic Models; 2.1 Classical SIR and SEIR endemic models; 2.2 Multi-group models and the role of mixing; 2.2.1 Models with random and preferential mixing; 2.2.2 Role of variable activity levels in STIs; 2.3 Multiple pathogen strains and host types; 2.3.1 Modeling TB and drug-resistance; 2.3.2 Human-schistosome-snail system; 2.3.3 Competitive exclusion in a multi-strain dengue model; 2.4 Age-structured models; 2.4.1 Optimal ages for vaccination , 2.4.2 Infection-age-dependent transmission and progression2.5 Models with non-exponentially distributed stages durations; 2.5.1 A model with general distributions for stage durations; 2.5.2 The cases of gamma and exponential distributions; 2.6 Oscillatory dynamic created by isolation; 2.6.1 An SIQR model with isolation-adjusted incidence; 2.6.2 A two-strain inuenza model with cross immunity; 2.7 Coupled dynamics of biological processes; 2.7.1 Malaria epidemiology and sickle cell genetics; 2.7.2 Coupling within- and between-host dynamics; Applications to Public Health Policymaking , 3. Applications of models to evaluations of disease control strategies3.1 Influenza; 3.1.1 Age- or group-targeted vaccination; 3.1.2 Preferential mixing and group-targeted vaccination; 3.1.3 Estimation of transmission parameters; 3.1.4 Forecast for the fall wave of the 2009 H1N1 pendemic; 3.1.5 Effect of timing for implementing control programs; 3.1.6 Herald wave; 3.1.7 Adverse effect of antiviral use due to drug-resistance; 3.2 SARS; 3.3 Tuberculosis; 3.3.1 Optimal treatment strategies for TB; 3.3.2 Inuence of HIV on TB prevalence; 3.4 Schistosomiasis , 3.4.1 Age-targeted drug treatment in humans3.4.2 Evolution dynamics of hosts and parasites; 3.5 Synergy between HSV-2 and HIV; 4. Development of interactive tools to assist public health policymaking; 4.1 An interactive tool for policymaking in disease control; 4.1.1 Simple examples; 4.1.2 Notebook for the SARS model in section 3.2; Appendix A Notations and definitions; Appendix B Examples of MATHEMATICA codes; Bibliography , English
    Additional Edition: ISBN 981-4522-34-1
    Language: English
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    FU Berlin
  • 7
    Online Resource
    Online Resource
    Mathematical Models in Epidemiology / (2019)
    New York, NY :Springer New York :
    Details
    UID:
    almafu_9959338376902883
    Format: 1 online resource (XVII, 619 p. 121 illus., 67 illus. in color.)
    Edition: 1st ed. 2019.
    ISBN: 1-4939-9828-5
    Series Statement: Texts in Applied Mathematics, 69
    Content: The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals. .
    Note: Introduction; A prelude to mathematical epidemiology -- Simple compartmental models for disease transmission -- Endemic disease models -- Epidemic models -- Models with heterogeneous mixing -- Models for diseases transmitted by vectors -- models for tuberculosis -- Models for HIV?AIDS -- Models for influenza -- Models for Ebola -- Models for malaria -- Dengue fever and the Zika virus -- Disease transmission models withagedpendence -- Spatial structure in disease transmission models -- Epidemiological models incorporating mobility, behavior, and time scales -- Challenges, opportunities, and theoretical epidemiology. .
    Additional Edition: ISBN 1-4939-9826-9
    Language: English
    DOI: 10.1007/978-1-4939-9828-9
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    Charité
  • 8
    Online Resource
    Online Resource
    Mathematical Models of Plant-Herbivore Interactions / (2017)
    Chapman and Hall/CRC,
    Details
    UID:
    almahu_9949865621102882
    Format: 1 online resource (231 pages : , 27 illustrations
    Edition: 1st
    ISBN: 9781351650175 , 1351650173
    Series Statement: Chapman & Hall/CRC mathematical and computational biology series
    Additional Edition: Print version: Feng, Zhilan. Mathematical Models of Plant-Herbivore Interactions. Chapman and Hall/CRC, 2017 ISBN 9781498769174
    Additional Edition: ISBN 1498769179
    Language: English
    URL: https://www.taylorfrancis.com/books/9781315154138
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    Online Resource
    HU Berlin
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