Mathematics in population biology:
The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathemati...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[2018]
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| Schriftenreihe: | Princeton Series in Theoretical and Computational Biology
1 |
| Schlagworte: | |
| Online-Zugang: | FAB01 FAW01 FHA01 FKE01 FLA01 UPA01 FCO01 Volltext |
| Zusammenfassung: | The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept, with an emphasis on helping the reader develop appropriate modeling skills through use of well-chosen and varied examples. Part I starts with unstructured single species population models, particularly in the framework of continuous time models, then adding the most rudimentary stage structure with variable stage duration. The theme of stage structure in an age-dependent context is developed in Part II, covering demographic concepts, such as life expectation and variance of life length, and their dynamic consequences. In Part III, the author considers the dynamic interplay of host and parasite populations, i.e., the epidemics and endemics of infectious diseases. The theme of stage structure continues here in the analysis of different stages of infection and of age-structure that is instrumental in optimizing vaccination strategies. Each section concludes with exercises, some with solutions, and suggestions for further study. The level of mathematics is relatively modest; a "toolbox" provides a summary of required results in differential equations, integration, and integral equations. In addition, a selection of Maple worksheets is provided. The book provides an authoritative tour through a dazzling ensemble of topics and is both an ideal introduction to the subject and reference for researchers |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018) |
| Beschreibung: | 1 online resource |
| ISBN: | 9780691187655 |
| DOI: | 10.1515/9780691187655 |
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| discipline | Biologie Mathematik |
| doi_str_mv | 10.1515/9780691187655 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T08:29:13Z |
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| spelling | Thieme, Horst R. Verfasser aut Mathematics in population biology Horst R. Thieme Princeton, NJ Princeton University Press [2018] © 2003 1 online resource txt rdacontent c rdamedia cr rdacarrier Princeton Series in Theoretical and Computational Biology 1 Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Nov 2018) The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept, with an emphasis on helping the reader develop appropriate modeling skills through use of well-chosen and varied examples. Part I starts with unstructured single species population models, particularly in the framework of continuous time models, then adding the most rudimentary stage structure with variable stage duration. The theme of stage structure in an age-dependent context is developed in Part II, covering demographic concepts, such as life expectation and variance of life length, and their dynamic consequences. In Part III, the author considers the dynamic interplay of host and parasite populations, i.e., the epidemics and endemics of infectious diseases. The theme of stage structure continues here in the analysis of different stages of infection and of age-structure that is instrumental in optimizing vaccination strategies. Each section concludes with exercises, some with solutions, and suggestions for further study. The level of mathematics is relatively modest; a "toolbox" provides a summary of required results in differential equations, integration, and integral equations. In addition, a selection of Maple worksheets is provided. The book provides an authoritative tour through a dazzling ensemble of topics and is both an ideal introduction to the subject and reference for researchers In English Communicable diseases Mathematical models Population biology Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Populationsbiologie (DE-588)4046800-8 gnd rswk-swf Demökologie (DE-588)4149059-9 gnd rswk-swf Populationsbiologie (DE-588)4046800-8 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Demökologie (DE-588)4149059-9 s Erscheint auch als Druck-Ausgabe, Paperback 978-0-691-09291-1 https://doi.org/10.1515/9780691187655 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Thieme, Horst R. Mathematics in population biology Communicable diseases Mathematical models Population biology Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Populationsbiologie (DE-588)4046800-8 gnd Demökologie (DE-588)4149059-9 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4046800-8 (DE-588)4149059-9 |
| title | Mathematics in population biology |
| title_auth | Mathematics in population biology |
| title_exact_search | Mathematics in population biology |
| title_full | Mathematics in population biology Horst R. Thieme |
| title_fullStr | Mathematics in population biology Horst R. Thieme |
| title_full_unstemmed | Mathematics in population biology Horst R. Thieme |
| title_short | Mathematics in population biology |
| title_sort | mathematics in population biology |
| topic | Communicable diseases Mathematical models Population biology Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Populationsbiologie (DE-588)4046800-8 gnd Demökologie (DE-588)4149059-9 gnd |
| topic_facet | Communicable diseases Mathematical models Population biology Mathematical models Mathematisches Modell Populationsbiologie Demökologie |
| url | https://doi.org/10.1515/9780691187655 |
| work_keys_str_mv | AT thiemehorstr mathematicsinpopulationbiology |