Structured population models can be used to describe processes such as infection transmission, cell growth and traffic flows. This book introduces the mathematical underpinnings of these applications, providing a unified framework for the study (numerical and analytic) of transport equations, and collecting results from various fields in one place.
Structured population models can be used to describe processes such as infection transmission, cell growth and traffic flows. This book introduces the mathematical underpinnings of these applications, providing a unified framework for the study (numerical and analytic) of transport equations, and collecting results from various fields in one place.
Produktdetails
Produktdetails
Cambridge Monographs on Applied and Computational Mathematics
Christian Düll is a member of the research team of Anna Marciniak-Czochra at Heidelberg University. He works with structured population models in a measure setting and optimal transport problems.
Inhaltsangabe
Notation Introduction 1. Analytical setting 2. Structured population models on state space R+ 3. Structured population models on proper spaces 4. Numerical methods for structured population models 5. Recent developments and future perspectives Appendix A. Topology, compactness and proper spaces Appendix B. Functional analysis Appendix C. Bounded Lipschitz and Hölder functions Appendix D. Results on approximation with polynomials Appendix E. Differential geometry Appendix F. Measure theory Appendix G. Weaker topologies on spaces of measures Appendix H. The Bochner integral Appendix I. Semigroups Appendix J. Supplement to Chapter 2 Appendix K. Technical proofs from Chapter 3 References Index.
Notation Introduction 1. Analytical setting 2. Structured population models on state space R+ 3. Structured population models on proper spaces 4. Numerical methods for structured population models 5. Recent developments and future perspectives Appendix A. Topology, compactness and proper spaces Appendix B. Functional analysis Appendix C. Bounded Lipschitz and Hölder functions Appendix D. Results on approximation with polynomials Appendix E. Differential geometry Appendix F. Measure theory Appendix G. Weaker topologies on spaces of measures Appendix H. The Bochner integral Appendix I. Semigroups Appendix J. Supplement to Chapter 2 Appendix K. Technical proofs from Chapter 3 References Index.
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