A biologist's guide to mathematical modeling in ecology and evolution /
Otto, Sarah P., 1967-
A biologist's guide to mathematical modeling in ecology and evolution / Sarah P. Otto and Troy Day. - First Edition - x, 732 pages : illustrations, maps ; 26 cm.
Includes bibliographical references and indexes.
Mathematical modeling in biology -- How to construct a model -- Deriving classic models in ecology and evolutionary biology -- Primer 1: Functions and approximations -- Numerical and graphical techniques -- Developing a feeling for your model --
Equilibria and stability analyses -- One-variable models --
General solutions and transformations -- One-variable models -- Primer 2: Linear algebra -- Equilibria and stability analyses --
linear models with multiple variables -- Equilibria and stability analyses -- Nonlinear models with multiple variables -- General solutions and tranformations -- Models with multiple variables --
Dynamics of class-structured populations -- Techniques for analyzing models with periodic behavior -- Evolutionary invasion analysis -- Primer 3: Probability theory -- Probabilistic models -- Analyzing discrete stochastic models -- Analyzing continuous stochastic models --Diffusion in time and space -- Epilogue: The art of mathematical modeling in biology.
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.
9780691123448 (cl : alk. paper) 0691123446 (cl : alk. paper)
2006044774
GBA647866 bnb
013470082 Uk 20080006078
Ecology--Mathematical models.
Ecología--Modelos matemáticos
Evolution (Biology)--Mathematical models.
Evolución (Biología)--Modelos matemáticos
QH541.15.M3 / O88 2007
577.015118
A biologist's guide to mathematical modeling in ecology and evolution / Sarah P. Otto and Troy Day. - First Edition - x, 732 pages : illustrations, maps ; 26 cm.
Includes bibliographical references and indexes.
Mathematical modeling in biology -- How to construct a model -- Deriving classic models in ecology and evolutionary biology -- Primer 1: Functions and approximations -- Numerical and graphical techniques -- Developing a feeling for your model --
Equilibria and stability analyses -- One-variable models --
General solutions and transformations -- One-variable models -- Primer 2: Linear algebra -- Equilibria and stability analyses --
linear models with multiple variables -- Equilibria and stability analyses -- Nonlinear models with multiple variables -- General solutions and tranformations -- Models with multiple variables --
Dynamics of class-structured populations -- Techniques for analyzing models with periodic behavior -- Evolutionary invasion analysis -- Primer 3: Probability theory -- Probabilistic models -- Analyzing discrete stochastic models -- Analyzing continuous stochastic models --Diffusion in time and space -- Epilogue: The art of mathematical modeling in biology.
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.
9780691123448 (cl : alk. paper) 0691123446 (cl : alk. paper)
2006044774
GBA647866 bnb
013470082 Uk 20080006078
Ecology--Mathematical models.
Ecología--Modelos matemáticos
Evolution (Biology)--Mathematical models.
Evolución (Biología)--Modelos matemáticos
QH541.15.M3 / O88 2007
577.015118