Mathematical modelling of pathogen-prey-predator interactions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
München
Verl. Dr. Hut
2009
|
| Edition: | 1. Aufl. |
| Series: | Mathematik
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 112 S. Ill., graph. Darst. |
| ISBN: | 9783868530186 |
Staff View
MARC
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| 245 | 1 | 0 | |a Mathematical modelling of pathogen-prey-predator interactions |c Ivo Siekmann |
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Record in the Search Index
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| adam_text | CONTENTS ABSTRACT VII ZUSAMMENFASSUNG IX ACKNOWLEDGEMENTS XI CHAPTER 1.
INTRODUCTION 1 1.1. MATHEMATICAL MODEIS IN BIOLOGY - A HISTORY OF
SUCCESS 4 1.2. THE PARADOX OF ENRICHMENT 16 1.3. EXPLICIT MODELLING OF
VIRUSES IN MARINE VIRAL INFECTIONS 18 1.4. ECOSYSTEMS MANAGEMENT WITH
COMPETITION DIAGRAMS 19 CHAPTER 2. LOCAL COLLAPSES IN THE
TRUSCOTT-BRINDLEY MODEL 1 29 2.1. INTRODUCTION 29 2.2. SPATIO-TEMPORAL
STOCHASTIC TRUSCOTT-BRINDLEY MODEL 32 2.3. SPATIO-TEMPORAL DYNAMICS 32
2.4. NOISY SPATIO-TEMPORAL DYNAMICS 37 2.5. CONCLUSIONS 40
ACKNOWLEDGEMENTS 44 CHAPTER 3. AN EXTENSION OF THE BERETTA-KUANG MODEL 2
47 3.1. INTRODUCTION 47 3.2. A SIMPLE MODEL FOR VIRUS REPLICATION IN
HOSTS 48 3.3. ANALYSIS OF THE LOCAL MODEL 51 3.4. THE HOPF BIFURCATION
57 3.5. THE SPATIAL MODEL 62 3.6. CONCLUSIONS 64 ACKNOWLEDGEMENTS 68
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/99326039X DIGITALISIERT
DURCH BIBLIOGRAPHY 103 CHAPTER 4. LOCAL COMPETITION OF PREDATORS AND
PREY INFECTION 3 69 4.1. INTRODUCTION 69 4.2. A CLASS OF PREY-PREDATOR
MODEIS WITH INFECTED PREY 71 4.3. MODELS EXPLICITELY CONSIDERING VIRAL
PARTICLES 77 4.4. CONCLUSIONS 80 CHAPTER 5. PREDARION MAY DEFEAT SPATIAL
SPREAD OF INFECTION 4 85 5.1. INTRODUCTION 85 5.2. AN EXTENDED
BERETTA-KUANG MODEL 86 5.3. ANALYSIS OF THE DETERMINISTIC LOCAL DYNAMICS
88 5.4. DETERMINISTIC AND STOCHASTIC SPATIAL DYNAMICS 96 5.5.
CONCLUSIONS 100 ACKNOWLEDGEMENTS 102
|
| any_adam_object | 1 |
| author | Siekmann, Ivo |
| author_facet | Siekmann, Ivo |
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| author_sort | Siekmann, Ivo |
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| bvnumber | BV035449079 |
| classification_rvk | SK 850 |
| ctrlnum | (OCoLC)363081995 (DE-599)DNB99326039X |
| dewey-full | 511.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.8 |
| dewey-search | 511.8 |
| dewey-sort | 3511.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Thesis Book |
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| indexdate | 2024-07-09T21:35:31Z |
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| isbn | 9783868530186 |
| language | English |
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| physical | XIV, 112 S. Ill., graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
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| publisher | Verl. Dr. Hut |
| record_format | marc |
| series2 | Mathematik |
| spelling | Siekmann, Ivo Verfasser aut Mathematical modelling of pathogen-prey-predator interactions Ivo Siekmann 1. Aufl. München Verl. Dr. Hut 2009 XIV, 112 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematik Zugl.: Osnabrück, Univ., Diss., 2009 Räuber-Beute-Verhältnis - Mathematisches Modell Räuber-Beute-Verhältnis (DE-588)4048274-1 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Räuber-Beute-Verhältnis (DE-588)4048274-1 s Mathematisches Modell (DE-588)4114528-8 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017369170&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Siekmann, Ivo Mathematical modelling of pathogen-prey-predator interactions Räuber-Beute-Verhältnis - Mathematisches Modell Räuber-Beute-Verhältnis (DE-588)4048274-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4048274-1 (DE-588)4114528-8 (DE-588)4113937-9 |
| title | Mathematical modelling of pathogen-prey-predator interactions |
| title_auth | Mathematical modelling of pathogen-prey-predator interactions |
| title_exact_search | Mathematical modelling of pathogen-prey-predator interactions |
| title_full | Mathematical modelling of pathogen-prey-predator interactions Ivo Siekmann |
| title_fullStr | Mathematical modelling of pathogen-prey-predator interactions Ivo Siekmann |
| title_full_unstemmed | Mathematical modelling of pathogen-prey-predator interactions Ivo Siekmann |
| title_short | Mathematical modelling of pathogen-prey-predator interactions |
| title_sort | mathematical modelling of pathogen prey predator interactions |
| topic | Räuber-Beute-Verhältnis - Mathematisches Modell Räuber-Beute-Verhältnis (DE-588)4048274-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Räuber-Beute-Verhältnis - Mathematisches Modell Räuber-Beute-Verhältnis Mathematisches Modell Hochschulschrift |
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