A Biologist's Guide to Mathematical Modeling in Ecology and Evolution / / Sarah P. Otto, Troy Day.
Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-ba...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2011] ©2007 |
Year of Publication: | 2011 |
Language: | English |
Online Access: | |
Physical Description: | 1 online resource (744 p.) :; 207 line illus. 22 tables. |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
9781400840915 |
---|---|
ctrlnum |
(DE-B1597)528269 (OCoLC)749265040 |
collection |
bib_alma |
record_format |
marc |
spelling |
Otto, Sarah P., author. aut http://id.loc.gov/vocabulary/relators/aut A Biologist's Guide to Mathematical Modeling in Ecology and Evolution / Sarah P. Otto, Troy Day. Princeton, NJ : Princeton University Press, [2011] ©2007 1 online resource (744 p.) : 207 line illus. 22 tables. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Preface -- Chapter 1: Mathematical Modeling in Biology -- Chapter 2: How to Construct a Model -- Chapter 3: Deriving Classic Models in Ecology and Evolutionary Biology -- Chapter 4: Numerical and Graphical Techniques-Developing a Feeling for Your Model -- Chapter 5: Equilibria and Stability Analyses-One-Variable Models -- Chapter 6: General Solutions and Transformations-One-Variable Models -- Chapter 7: Equilibria and Stability Analyses-Linear Models with Multiple Variables -- Chapter 8: Equilibria and Stability Analyses-Nonlinear Models with Multiple Variables -- Chapter 9: General Solutions and Tranformations-Models with Multiple Variables -- Chapter 10: Dynamics of Class-Structured Populations -- Chapter 11: Techniques for Analyzing Models with Periodic Behavior -- Chapter 12: Evolutionary Invasion Analysis -- Chapter 13: Probabilistic Models -- Chapter 14: Analyzing Discrete Stochastic Models -- Chapter 15: Analyzing Continuous Stochastic Models-Diffusion in Time and Space -- Epilogue: The Art of Mathematical Modeling in Biology -- Appendix 1: Commonly Used Mathematical Rules -- Appendix 2: Some Important Rules from Calculus -- Appendix 3: The Perron-Frobenius Theorem -- Appendix 4: Finding Maxima and Minima of Functions -- Appendix 5: Moment-Generating Functions -- Index of Definitions, Recipes, and Rules -- General Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Ecology -- Mathematical models. Ecology Mathematical models. Ecology. Evolution (Biology) -- Mathematical models. Evolution (Biology) Mathematical models. Evolution (Biology). SCIENCE / Life Sciences / Biology. bisacsh Day, Troy, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691123448 https://doi.org/10.1515/9781400840915?locatt=mode:legacy https://www.degruyter.com/isbn/9781400840915 Cover https://www.degruyter.com/cover/covers/9781400840915.jpg |
language |
English |
format |
eBook |
author |
Otto, Sarah P., Otto, Sarah P., Day, Troy, |
spellingShingle |
Otto, Sarah P., Otto, Sarah P., Day, Troy, A Biologist's Guide to Mathematical Modeling in Ecology and Evolution / Frontmatter -- Contents -- Preface -- Chapter 1: Mathematical Modeling in Biology -- Chapter 2: How to Construct a Model -- Chapter 3: Deriving Classic Models in Ecology and Evolutionary Biology -- Chapter 4: Numerical and Graphical Techniques-Developing a Feeling for Your Model -- Chapter 5: Equilibria and Stability Analyses-One-Variable Models -- Chapter 6: General Solutions and Transformations-One-Variable Models -- Chapter 7: Equilibria and Stability Analyses-Linear Models with Multiple Variables -- Chapter 8: Equilibria and Stability Analyses-Nonlinear Models with Multiple Variables -- Chapter 9: General Solutions and Tranformations-Models with Multiple Variables -- Chapter 10: Dynamics of Class-Structured Populations -- Chapter 11: Techniques for Analyzing Models with Periodic Behavior -- Chapter 12: Evolutionary Invasion Analysis -- Chapter 13: Probabilistic Models -- Chapter 14: Analyzing Discrete Stochastic Models -- Chapter 15: Analyzing Continuous Stochastic Models-Diffusion in Time and Space -- Epilogue: The Art of Mathematical Modeling in Biology -- Appendix 1: Commonly Used Mathematical Rules -- Appendix 2: Some Important Rules from Calculus -- Appendix 3: The Perron-Frobenius Theorem -- Appendix 4: Finding Maxima and Minima of Functions -- Appendix 5: Moment-Generating Functions -- Index of Definitions, Recipes, and Rules -- General Index |
author_facet |
Otto, Sarah P., Otto, Sarah P., Day, Troy, Day, Troy, Day, Troy, |
author_variant |
s p o sp spo s p o sp spo t d td |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Day, Troy, Day, Troy, |
author2_variant |
t d td |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Otto, Sarah P., |
title |
A Biologist's Guide to Mathematical Modeling in Ecology and Evolution / |
title_full |
A Biologist's Guide to Mathematical Modeling in Ecology and Evolution / Sarah P. Otto, Troy Day. |
title_fullStr |
A Biologist's Guide to Mathematical Modeling in Ecology and Evolution / Sarah P. Otto, Troy Day. |
title_full_unstemmed |
A Biologist's Guide to Mathematical Modeling in Ecology and Evolution / Sarah P. Otto, Troy Day. |
title_auth |
A Biologist's Guide to Mathematical Modeling in Ecology and Evolution / |
title_alt |
Frontmatter -- Contents -- Preface -- Chapter 1: Mathematical Modeling in Biology -- Chapter 2: How to Construct a Model -- Chapter 3: Deriving Classic Models in Ecology and Evolutionary Biology -- Chapter 4: Numerical and Graphical Techniques-Developing a Feeling for Your Model -- Chapter 5: Equilibria and Stability Analyses-One-Variable Models -- Chapter 6: General Solutions and Transformations-One-Variable Models -- Chapter 7: Equilibria and Stability Analyses-Linear Models with Multiple Variables -- Chapter 8: Equilibria and Stability Analyses-Nonlinear Models with Multiple Variables -- Chapter 9: General Solutions and Tranformations-Models with Multiple Variables -- Chapter 10: Dynamics of Class-Structured Populations -- Chapter 11: Techniques for Analyzing Models with Periodic Behavior -- Chapter 12: Evolutionary Invasion Analysis -- Chapter 13: Probabilistic Models -- Chapter 14: Analyzing Discrete Stochastic Models -- Chapter 15: Analyzing Continuous Stochastic Models-Diffusion in Time and Space -- Epilogue: The Art of Mathematical Modeling in Biology -- Appendix 1: Commonly Used Mathematical Rules -- Appendix 2: Some Important Rules from Calculus -- Appendix 3: The Perron-Frobenius Theorem -- Appendix 4: Finding Maxima and Minima of Functions -- Appendix 5: Moment-Generating Functions -- Index of Definitions, Recipes, and Rules -- General Index |
title_new |
A Biologist's Guide to Mathematical Modeling in Ecology and Evolution / |
title_sort |
a biologist's guide to mathematical modeling in ecology and evolution / |
publisher |
Princeton University Press, |
publishDate |
2011 |
physical |
1 online resource (744 p.) : 207 line illus. 22 tables. Issued also in print. |
contents |
Frontmatter -- Contents -- Preface -- Chapter 1: Mathematical Modeling in Biology -- Chapter 2: How to Construct a Model -- Chapter 3: Deriving Classic Models in Ecology and Evolutionary Biology -- Chapter 4: Numerical and Graphical Techniques-Developing a Feeling for Your Model -- Chapter 5: Equilibria and Stability Analyses-One-Variable Models -- Chapter 6: General Solutions and Transformations-One-Variable Models -- Chapter 7: Equilibria and Stability Analyses-Linear Models with Multiple Variables -- Chapter 8: Equilibria and Stability Analyses-Nonlinear Models with Multiple Variables -- Chapter 9: General Solutions and Tranformations-Models with Multiple Variables -- Chapter 10: Dynamics of Class-Structured Populations -- Chapter 11: Techniques for Analyzing Models with Periodic Behavior -- Chapter 12: Evolutionary Invasion Analysis -- Chapter 13: Probabilistic Models -- Chapter 14: Analyzing Discrete Stochastic Models -- Chapter 15: Analyzing Continuous Stochastic Models-Diffusion in Time and Space -- Epilogue: The Art of Mathematical Modeling in Biology -- Appendix 1: Commonly Used Mathematical Rules -- Appendix 2: Some Important Rules from Calculus -- Appendix 3: The Perron-Frobenius Theorem -- Appendix 4: Finding Maxima and Minima of Functions -- Appendix 5: Moment-Generating Functions -- Index of Definitions, Recipes, and Rules -- General Index |
isbn |
9781400840915 9783110442502 9780691123448 |
callnumber-first |
Q - Science |
callnumber-subject |
QH - Natural History and Biology |
callnumber-label |
QH541 |
callnumber-sort |
QH 3541.15 M3 O88 42011 |
url |
https://doi.org/10.1515/9781400840915?locatt=mode:legacy https://www.degruyter.com/isbn/9781400840915 https://www.degruyter.com/cover/covers/9781400840915.jpg |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
570 - Life sciences; biology |
dewey-ones |
577 - Ecology |
dewey-full |
577.01/5118 |
dewey-sort |
3577.01 45118 |
dewey-raw |
577.01/5118 |
dewey-search |
577.01/5118 |
doi_str_mv |
10.1515/9781400840915?locatt=mode:legacy |
oclc_num |
749265040 |
work_keys_str_mv |
AT ottosarahp abiologistsguidetomathematicalmodelinginecologyandevolution AT daytroy abiologistsguidetomathematicalmodelinginecologyandevolution AT ottosarahp biologistsguidetomathematicalmodelinginecologyandevolution AT daytroy biologistsguidetomathematicalmodelinginecologyandevolution |
status_str |
n |
ids_txt_mv |
(DE-B1597)528269 (OCoLC)749265040 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
is_hierarchy_title |
A Biologist's Guide to Mathematical Modeling in Ecology and Evolution / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
author2_original_writing_str_mv |
noLinkedField noLinkedField |
_version_ |
1806143563091673088 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05965nam a22007215i 4500</leader><controlfield tag="001">9781400840915</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20210830012106.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">210830t20112007nju fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400840915</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400840915</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)528269</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)749265040</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">nju</subfield><subfield code="c">US-NJ</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QH541.15.M3 O88 2011</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">SCI008000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">577.01/5118</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Otto, Sarah P., </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="2"><subfield code="a">A Biologist's Guide to Mathematical Modeling in Ecology and Evolution /</subfield><subfield code="c">Sarah P. Otto, Troy Day.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ : </subfield><subfield code="b">Princeton University Press, </subfield><subfield code="c">[2011]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (744 p.) :</subfield><subfield code="b">207 line illus. 22 tables.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Chapter 1: Mathematical Modeling in Biology -- </subfield><subfield code="t">Chapter 2: How to Construct a Model -- </subfield><subfield code="t">Chapter 3: Deriving Classic Models in Ecology and Evolutionary Biology -- </subfield><subfield code="t">Chapter 4: Numerical and Graphical Techniques-Developing a Feeling for Your Model -- </subfield><subfield code="t">Chapter 5: Equilibria and Stability Analyses-One-Variable Models -- </subfield><subfield code="t">Chapter 6: General Solutions and Transformations-One-Variable Models -- </subfield><subfield code="t">Chapter 7: Equilibria and Stability Analyses-Linear Models with Multiple Variables -- </subfield><subfield code="t">Chapter 8: Equilibria and Stability Analyses-Nonlinear Models with Multiple Variables -- </subfield><subfield code="t">Chapter 9: General Solutions and Tranformations-Models with Multiple Variables -- </subfield><subfield code="t">Chapter 10: Dynamics of Class-Structured Populations -- </subfield><subfield code="t">Chapter 11: Techniques for Analyzing Models with Periodic Behavior -- </subfield><subfield code="t">Chapter 12: Evolutionary Invasion Analysis -- </subfield><subfield code="t">Chapter 13: Probabilistic Models -- </subfield><subfield code="t">Chapter 14: Analyzing Discrete Stochastic Models -- </subfield><subfield code="t">Chapter 15: Analyzing Continuous Stochastic Models-Diffusion in Time and Space -- </subfield><subfield code="t">Epilogue: The Art of Mathematical Modeling in Biology -- </subfield><subfield code="t">Appendix 1: Commonly Used Mathematical Rules -- </subfield><subfield code="t">Appendix 2: Some Important Rules from Calculus -- </subfield><subfield code="t">Appendix 3: The Perron-Frobenius Theorem -- </subfield><subfield code="t">Appendix 4: Finding Maxima and Minima of Functions -- </subfield><subfield code="t">Appendix 5: Moment-Generating Functions -- </subfield><subfield code="t">Index of Definitions, Recipes, and Rules -- </subfield><subfield code="t">General Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Ecology -- Mathematical models.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Ecology</subfield><subfield code="x">Mathematical models.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Ecology.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Evolution (Biology) -- Mathematical models.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Evolution (Biology)</subfield><subfield code="x">Mathematical models.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Evolution (Biology).</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE / Life Sciences / Biology.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Day, Troy, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton University Press eBook-Package Backlist 2000-2013</subfield><subfield code="z">9783110442502</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9780691123448</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400840915?locatt=mode:legacy</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9781400840915</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/cover/covers/9781400840915.jpg</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-044250-2 Princeton University Press eBook-Package Backlist 2000-2013</subfield><subfield code="c">2000</subfield><subfield code="d">2013</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_PPALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield></record></collection> |