Theory of nonlinear age dependent population dynamics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Dekker
1985
|
| Series: | Pure and applied mathematics
89 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 294 S. |
| ISBN: | 0824772903 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV000306790 | ||
| 003 | DE-604 | ||
| 005 | 20160204 | ||
| 007 | t | ||
| 008 | 870612s1985 |||| 00||| eng d | ||
| 020 | |a 0824772903 |9 0-8247-7290-3 | ||
| 035 | |a (OCoLC)246624503 | ||
| 035 | |a (DE-599)BVBBV000306790 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-83 |a DE-11 |a DE-188 |a DE-91G |a DE-706 | ||
| 084 | |a WU 3100 |0 (DE-625)152026: |2 rvk | ||
| 084 | |a BIO 134f |2 stub | ||
| 084 | |a MAT 357f |2 stub | ||
| 084 | |a MAT 470f |2 stub | ||
| 100 | 1 | |a Webb, Glenn F. |e Verfasser |0 (DE-588)108205495X |4 aut | |
| 245 | 1 | 0 | |a Theory of nonlinear age dependent population dynamics |c G. F. Webb |
| 264 | 1 | |a New York [u.a.] |b Dekker |c 1985 | |
| 300 | |a VI, 294 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics |v 89 | |
| 650 | 4 | |a Populationsdynamik - Mathematisches Modell | |
| 650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Bevölkerungsentwicklung |0 (DE-588)4006292-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Populationsdynamik |0 (DE-588)4046803-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineares mathematisches Modell |0 (DE-588)4127859-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Bevölkerungsentwicklung |0 (DE-588)4006292-2 |D s |
| 689 | 0 | 1 | |a Mathematisches Modell |0 (DE-588)4114528-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Populationsdynamik |0 (DE-588)4046803-3 |D s |
| 689 | 1 | 1 | |a Nichtlineares mathematisches Modell |0 (DE-588)4127859-8 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 830 | 0 | |a Pure and applied mathematics |v 89 |w (DE-604)BV000001885 |9 89 | |
| 856 | 4 | 2 | |m SWB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000187418&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-www | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-000187418 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804114771415400448 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
PREFACE III
1 STATEMENT OF THE PROBLEM 1
1.1 HISTORY OF T HE PROBLEM 1
1.2 THE C L A S S I C AL LINEAR MODEL 3
1.3 THE GURTIN-MACCAMY MODEL 10
1.4 FORMULATION OF A GENERAL MODEL 14
1.5 NOTES 23
2 BASIC THEORY OF THE SOLUTIONS 25
2.1 PRELIMINARIES 25
2.2 LOCAL EXISTENCE AND CONTINUOUS DEPENDENCE ON INITIAL AGE
DISTRIBUTIONS 29
2.3 THE SEMIGROUP PROPERTY AND CONTINUABILITY OF THE SOLUTIONS 42
2.4 POSITIVITY OF SOLUTIONS 46
2.5 CONTINUOUS DEPENDENCE ON THE BIRTH AND AGING FUNCTIONS 52
2.6 REGULARITY OF THE SOLUTIONS 55
2.7 NOTES 72
3 THE NONLINEAR SEMIGROUP ASSOCIATED WITH THE SOLUTIONS 73
3.1 THE NONLINEAR SEMIGROUP 73
3.2 THE INFINITESIMAL GENERATOR 79
3.3 THE EXPONENTIAL REPRESENTATION 89
3.4 COMPACTNESS OF THE TRAJECTORIES 99
3.5 APPROXIMATION OF THE SOLUTIONS 113
3.6 NOTES 132
4 EQUILIBRIUM SOLUTIONS AND THEIR STABILITY 135
4.1 EXISTENCE OF NONTRIVIAL EQUILIBRIUM SOLUTIONS 135 4.2 LIAPUNOV
FUNCTIONS AND THE INVARIANCE PRINCIPLE 145 4.3 STABILITY AND INSTABILITY
IN THE LINEAR CASE 162
4.4 THE METHOD OF LINEARIZATION FOR THE SEMILINEAR CASE 192
IMAGE 2
4.5 THE METHOD OF LINEARIZATION FOR THE NONLINEAR
CASE 216
4.6 NOTES 240
5 BIOLOGICAL POPULATION MODELS 242
5.1 SPECIES INTERACTION 242
5.2 POPULATION GENETICS 248
5.3 EPIDEMIC POPULATIONS 254
5.4 LOGISTIC POPULATIONS 263
5.5 NOTES 269
REFERENCES 271
NOTATION 290
INDEX 293
|
| any_adam_object | 1 |
| author | Webb, Glenn F. |
| author_GND | (DE-588)108205495X |
| author_facet | Webb, Glenn F. |
| author_role | aut |
| author_sort | Webb, Glenn F. |
| author_variant | g f w gf gfw |
| building | Verbundindex |
| bvnumber | BV000306790 |
| classification_rvk | WU 3100 |
| classification_tum | BIO 134f MAT 357f MAT 470f |
| ctrlnum | (OCoLC)246624503 (DE-599)BVBBV000306790 |
| discipline | Biologie Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02044nam a2200493 cb4500</leader><controlfield tag="001">BV000306790</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20160204 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">870612s1985 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0824772903</subfield><subfield code="9">0-8247-7290-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246624503</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV000306790</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-706</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">WU 3100</subfield><subfield code="0">(DE-625)152026:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">BIO 134f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 357f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 470f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Webb, Glenn F.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)108205495X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Theory of nonlinear age dependent population dynamics</subfield><subfield code="c">G. F. Webb</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Dekker</subfield><subfield code="c">1985</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 294 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Pure and applied mathematics</subfield><subfield code="v">89</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Populationsdynamik - Mathematisches Modell</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Bevölkerungsentwicklung</subfield><subfield code="0">(DE-588)4006292-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Populationsdynamik</subfield><subfield code="0">(DE-588)4046803-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineares mathematisches Modell</subfield><subfield code="0">(DE-588)4127859-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Bevölkerungsentwicklung</subfield><subfield code="0">(DE-588)4006292-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Populationsdynamik</subfield><subfield code="0">(DE-588)4046803-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Nichtlineares mathematisches Modell</subfield><subfield code="0">(DE-588)4127859-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Pure and applied mathematics</subfield><subfield code="v">89</subfield><subfield code="w">(DE-604)BV000001885</subfield><subfield code="9">89</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">SWB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000187418&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-www</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-000187418</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV000306790 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:12:01Z |
| institution | BVB |
| isbn | 0824772903 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000187418 |
| oclc_num | 246624503 |
| open_access_boolean | |
| owner | DE-12 DE-83 DE-11 DE-188 DE-91G DE-BY-TUM DE-706 |
| owner_facet | DE-12 DE-83 DE-11 DE-188 DE-91G DE-BY-TUM DE-706 |
| physical | VI, 294 S. |
| psigel | TUB-www |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Webb, Glenn F. Verfasser (DE-588)108205495X aut Theory of nonlinear age dependent population dynamics G. F. Webb New York [u.a.] Dekker 1985 VI, 294 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 89 Populationsdynamik - Mathematisches Modell Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Bevölkerungsentwicklung (DE-588)4006292-2 gnd rswk-swf Populationsdynamik (DE-588)4046803-3 gnd rswk-swf Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd rswk-swf Bevölkerungsentwicklung (DE-588)4006292-2 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Populationsdynamik (DE-588)4046803-3 s Nichtlineares mathematisches Modell (DE-588)4127859-8 s 1\p DE-604 Pure and applied mathematics 89 (DE-604)BV000001885 89 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000187418&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Webb, Glenn F. Theory of nonlinear age dependent population dynamics Pure and applied mathematics Populationsdynamik - Mathematisches Modell Mathematisches Modell (DE-588)4114528-8 gnd Bevölkerungsentwicklung (DE-588)4006292-2 gnd Populationsdynamik (DE-588)4046803-3 gnd Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd |
| subject_GND | (DE-588)4114528-8 (DE-588)4006292-2 (DE-588)4046803-3 (DE-588)4127859-8 |
| title | Theory of nonlinear age dependent population dynamics |
| title_auth | Theory of nonlinear age dependent population dynamics |
| title_exact_search | Theory of nonlinear age dependent population dynamics |
| title_full | Theory of nonlinear age dependent population dynamics G. F. Webb |
| title_fullStr | Theory of nonlinear age dependent population dynamics G. F. Webb |
| title_full_unstemmed | Theory of nonlinear age dependent population dynamics G. F. Webb |
| title_short | Theory of nonlinear age dependent population dynamics |
| title_sort | theory of nonlinear age dependent population dynamics |
| topic | Populationsdynamik - Mathematisches Modell Mathematisches Modell (DE-588)4114528-8 gnd Bevölkerungsentwicklung (DE-588)4006292-2 gnd Populationsdynamik (DE-588)4046803-3 gnd Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd |
| topic_facet | Populationsdynamik - Mathematisches Modell Mathematisches Modell Bevölkerungsentwicklung Populationsdynamik Nichtlineares mathematisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000187418&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
| work_keys_str_mv | AT webbglennf theoryofnonlinearagedependentpopulationdynamics |