Stochastic population models: a compartmental perspective
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2000
|
| Series: | Lecture notes in statistics
145 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 202 S. graph. Darst., Kt. |
| ISBN: | 038798657X |
Staff View
MARC
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| 100 | 1 | |a Matis, James H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Stochastic population models |b a compartmental perspective |c James H. Matis ; Thomas R. Kiffe |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2000 | |
| 300 | |a X, 202 S. |b graph. Darst., Kt. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in statistics |v 145 | |
| 650 | 4 | |a Biologie des populations - Modèles mathématiques | |
| 650 | 7 | |a Biologie des populations - Modèles mathématiques |2 ram | |
| 650 | 7 | |a Populaties (biologie) |2 gtt | |
| 650 | 4 | |a Processus stochastiques - Modèles mathématiques | |
| 650 | 7 | |a Processus stochastiques - Modèles mathématiques |2 ram | |
| 650 | 7 | |a Stochastische processen |2 gtt | |
| 650 | 7 | |a Wiskundige modellen |2 gtt | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Population biology |x Mathematical models | |
| 650 | 4 | |a Stochastic processes |x Mathematical models | |
| 650 | 0 | 7 | |a Populationsdynamik |0 (DE-588)4046803-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stochastischer Prozess |0 (DE-588)4057630-9 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Kiffe, Thomas R. |e Verfasser |4 aut | |
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Record in the Search Index
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|---|---|
| adam_text |
TABLE
OF
CONTENTS
PART
I
INTRODUCTION
1.
OVERVIEW
OF
MODELS
.
2
1.1
MODELING
OBJECTIVES
.
2
1.2
STRUCTURE
OF
MONOGRAPH
.
3
2.
SOME
APPLICATIONS
.
5
2.1
INTRODUCTION
.
5
2.2
APPLICATION
TO
INVASION
OF
AFRICANIZED
HONEY
BEE
.
5
2.3
APPLICATION
TO
MUSKRAT
SPREAD
IN
THE
NETHERLANDS
.
7
2.4
APPLICATION
TO
BIOACCUMULATION
OF
MERCURY
IN
FISH
.
9
2.5
APPLICATION
TO
HUMAN
CALCIUM
KINETICS
.
13
PART
II
MODELS
FOR
A
SINGLE
POPULATION
3.
BASIC
METHODOLOGY
FOR
SINGLE
POPULATION
STOCHASTIC
MODELS
.
17
3.1
INTRODUCTION
.
17
3.2
BASIC
ASSUMPTIONS
.
17
3.3
MOMENTS
AND
CUMULANTS
.
19
3.4
KOLMOGOROV
DIFFERENTIAL
EQUATIONS
.
21
3.5
GENERATING
FUNCTIONS
.
23
3.6
PARTIAL
DIFFERENTIAL
EQUATIONS
FOR
GENERATING
FUNCTIONS
.
25
3.7
GENERAL
APPROACH
TO
SINGLE
POPULATION
GROWTH
MODELS
.
28
4.
LINEAR
IMMIGRATION-DEATH
MODELS
.
30
4.1
INTRODUCTION
.
30
4.2
DETERMINISTIC
MODEL
.
30
4.3
PROBABILITY
DISTRIBUTIONS
FOR
THE
STOCHASTIC
MODEL
.
32
4.4
GENERATING
FUNCTIONS
.
33
4.5
CUMULANT
FUNCTIONS
.
35
4.6
SOME
PROPERTIES
OF
THE
STOCHASTIC
SOLUTION
.
36
TABLE
OF
CONTENTS
IX
4.7
ILLUSTRATIONS
.
37
5.
LINEAR
BIRTH-IMMIGRATION-DEATH
MODELS
.
40
5.1
INTRODUCTION
.
40
5.2
DETERMINISTIC
MODEL
.
40
5.3
PROBABILITY
DISTRIBUTION
FOR
THE
STOCHASTIC
MODEL
.
41
5.4
GENERATING
FUNCTIONS
.
42
5.5
CUMULANT
FUNCTIONS
.
43
5.6
SOME
PROPERTIES
OF
THE
STOCHASTIC
SOLUTION
.
45
5.7
ILLUSTRATIONS
.
45
6.
NONLINEAR
BIRTH-DEATH
MODELS
.
49
6.1
INTRODUCTION
.
49
6.2
DETERMINISTIC
MODEL
.
50
6.3
PROBABILITY
DISTRIBUTIONS
FOR
THE
STOCHASTIC
MODEL
.
51
6.4
GENERATING
FUNCTIONS
.
53
6.5
CUMULANT
FUNCTIONS
.
54
6.6
SOME
PROPERTIES
OF
THE
STOCHASTIC
SOLUTION
.
55
6.7
ILLUSTRATIONS
.
55
6.8
APPENDICES
.
67
PART
III
MODELS
FOR
MULTIPLE
POPULATIONS
7.
NONLINEAR
BIRTH-IMMIGRATION-DEATH
MODELS
.
72
7.1
INTRODUCTION
.
72
7.2
DETERMINISTIC
MODEL
.
73
7.3
PROBABILITY
DISTRIBUTION
FOR
THE
STOCHASTIC
MODEL
.
77
7.4
GENERATING
FUNCTIONS
.
78
7.5
CUMULANT
FUNCTIONS
.
79
7.6
SOME
PROPERTIES
OF
THE
STOCHASTIC
SOLUTION
.
80
7.7
ILLUSTRATIONS
.
80
7.8
APPENDICES
.
87
8.
STANDARD
MULTIPLE
COMPARTMENT
ANALYSIS
.
101
8.1
INTRODUCTION
.
101
8.2
DETERMINISTIC
MODEL
FORMULATION
AND
SOLUTION
.
101
8.3
ILLUSTRATIONS
.
105
X
TABLE
OF
CONTENTS
9.
BASIC
METHODOLOGY
FOR
MULTIPLE
POPULATION
STOCHASTIC
MODELS
.
110
9.1
INTRODUCTION
.
110
9.2
BASIC
ASSUMPTIONS
.
110
9.3
JOINT
MOMENTS
AND
CUMULANTS
.
112
9.4
KOLMOGOROV
DIFFERENTIAL
EQUATIONS
.
114
9.5
BIVARIATE
GENERATING
FUNCTIONS
.
115
9.6
PARTIAL
DIFFERENTIAL
EQUATIONS
FOR
GENERATING
FUNCTIONS
.
116
9.7
GENERAL
APPROACH
TO
MULTIPLE
POPULATION
GROWTH
MODELS
.
118
10.
LINEAR
DEATH-MIGRATION
MODELS
.
119
10.1
INTRODUCTION
.
119
10.2
GENERAL
FORMULATION
OF
THE
STOCHASTIC
MODEL
.
119
10.3
DIRECT
SOLUTION
FOR
STOCHASTIC
MIGRATION-DEATH
MODEL
.
121
10.4
MEAN
RESIDENCE
TIMES
.
126
10.5
APPENDIX
.
129
11.
LINEAR
IMMIGRATION-DEATH-MIGRATION
MODELS
.
137
11.1
INTRODUCTION
.
137
11.2
GENERATING
FUNCTIONS
FOR
THE
STOCHASTIC
MODEL
.
137
11.3
PROBABILITY
DISTRIBUTION
.
138
11.4
CUMULANT
FUNCTIONS
.
140
12.
LINEAR
BIRTH-IMMIGRATION-DEATH-MIGRATION
MODELS
.
142
12.1
INTRODUCTION
.
142
12.2
EQUATIONS
FOR
CUMULANT
FUNCTIONS
.
143
12.3
APPLICATION
TO
DISPERSAL
OF
AFRICAN
BEES-BASIC
MODEL
.
144
12.4
APPLICATION
TO
MUSKRAT
SPREAD
DATA
.
149
12.5
APPENDIX
.
151
13.
NONLINEAR
BIRTH-DEATH-MIGRATION
MODELS
.
161
13.1
INTRODUCTION
.
161
13.2
PROBABILITY
DISTRIBUTION
FOR
THE
STOCHASTIC
MODEL
.
162
13.3
CUMULANT
FUNCTIONS
.
167
14.
NONLINEAR
HOST-PARASITE
MODELS
.
172
14.1
INTRODUCTION
.
172
14.2
PROPOSED
HOST-PARASITE
MODEL
.
173
14.3
CONCLUSIONS
AND
FUTURE
RESEARCH
DIRECTIONS
.
183
14.4
APPENDIX
.
188
REFERENCES
.
189
INDEX
.
199 |
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| id | DE-604.BV013268429 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:51:01Z |
| institution | BVB |
| isbn | 038798657X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009046012 |
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| physical | X, 202 S. graph. Darst., Kt. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in statistics |
| series2 | Lecture notes in statistics |
| spelling | Matis, James H. Verfasser aut Stochastic population models a compartmental perspective James H. Matis ; Thomas R. Kiffe New York [u.a.] Springer 2000 X, 202 S. graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Lecture notes in statistics 145 Biologie des populations - Modèles mathématiques Biologie des populations - Modèles mathématiques ram Populaties (biologie) gtt Processus stochastiques - Modèles mathématiques Processus stochastiques - Modèles mathématiques ram Stochastische processen gtt Wiskundige modellen gtt Mathematisches Modell Population biology Mathematical models Stochastic processes Mathematical models Populationsdynamik (DE-588)4046803-3 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Populationsdynamik (DE-588)4046803-3 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Kiffe, Thomas R. Verfasser aut Lecture notes in statistics 145 (DE-604)BV002447846 145 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009046012&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Matis, James H. Kiffe, Thomas R. Stochastic population models a compartmental perspective Lecture notes in statistics Biologie des populations - Modèles mathématiques Biologie des populations - Modèles mathématiques ram Populaties (biologie) gtt Processus stochastiques - Modèles mathématiques Processus stochastiques - Modèles mathématiques ram Stochastische processen gtt Wiskundige modellen gtt Mathematisches Modell Population biology Mathematical models Stochastic processes Mathematical models Populationsdynamik (DE-588)4046803-3 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| subject_GND | (DE-588)4046803-3 (DE-588)4057630-9 |
| title | Stochastic population models a compartmental perspective |
| title_auth | Stochastic population models a compartmental perspective |
| title_exact_search | Stochastic population models a compartmental perspective |
| title_full | Stochastic population models a compartmental perspective James H. Matis ; Thomas R. Kiffe |
| title_fullStr | Stochastic population models a compartmental perspective James H. Matis ; Thomas R. Kiffe |
| title_full_unstemmed | Stochastic population models a compartmental perspective James H. Matis ; Thomas R. Kiffe |
| title_short | Stochastic population models |
| title_sort | stochastic population models a compartmental perspective |
| title_sub | a compartmental perspective |
| topic | Biologie des populations - Modèles mathématiques Biologie des populations - Modèles mathématiques ram Populaties (biologie) gtt Processus stochastiques - Modèles mathématiques Processus stochastiques - Modèles mathématiques ram Stochastische processen gtt Wiskundige modellen gtt Mathematisches Modell Population biology Mathematical models Stochastic processes Mathematical models Populationsdynamik (DE-588)4046803-3 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| topic_facet | Biologie des populations - Modèles mathématiques Populaties (biologie) Processus stochastiques - Modèles mathématiques Stochastische processen Wiskundige modellen Mathematisches Modell Population biology Mathematical models Stochastic processes Mathematical models Populationsdynamik Stochastischer Prozess |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009046012&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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