A Biologist s Guide to Mathematical Modeling in Ecology and Evolution

Author: Sarah P. Otto
Publisher: Princeton University Press
ISBN: 1400840910
Format: PDF
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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

MATHEMATICAL MODELS Volume III

Author: Jerzy A. Filar
Publisher: EOLSS Publications
ISBN: 1848262442
Format: PDF, Docs
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Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Game Theoretical Models in Biology

Author: Mark Broom
Publisher: CRC Press
ISBN: 1439853223
Format: PDF, ePub
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Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In addition, the authors explore many applications of game theory to biology, making the text useful to biologists as well. The book describes a wide range of topics in evolutionary games, including matrix games, replicator dynamics, the hawk-dove game, and the prisoner’s dilemma. It covers the evolutionarily stable strategy, a key concept in biological games, and offers in-depth details of the mathematical models. Most chapters illustrate how to use MATLAB® to solve various games. Important biological phenomena, such as the sex ratio of so many species being close to a half, the evolution of cooperative behavior, and the existence of adornments (for example, the peacock’s tail), have been explained using ideas underpinned by game theoretical modeling. Suitable for readers studying and working at the interface of mathematics and the life sciences, this book shows how evolutionary game theory is used in the modeling of these diverse biological phenomena.

Social Behaviour

Author: Tamás Székely
Publisher: Cambridge University Press
ISBN: 0521883172
Format: PDF, Mobi
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A comprehensive analysis of the genetic, ecological and phylogenetic aspects of social behaviour, by experts in the field.

Dynamic Models in Biology

Author: Stephen P. Ellner
Publisher: Princeton University Press
ISBN: 1400840961
Format: PDF, ePub
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From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology. Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians. Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.

Molecular Modeling and Simulation

Author: Tamar Schlick
Publisher: Springer Science & Business Media
ISBN: 0387224645
Format: PDF, Mobi
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Very broad overview of the field intended for an interdisciplinary audience; Lively discussion of current challenges written in a colloquial style; Author is a rising star in this discipline; Suitably accessible for beginners and suitably rigorous for experts; Features extensive four-color illustrations; Appendices featuring homework assignments and reading lists complement the material in the main text

Dolphin Confidential

Author: Maddalena Bearzi
Publisher: University of Chicago Press
ISBN: 0226040186
Format: PDF, ePub, Mobi
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Who hasn’t fantasized about the unique thrill of working among charismatic and clever dolphins in the wild? Now we no longer have to rely solely on our imaginations . With Dolphin Confidential, Maddalena Bearzi invites all of us shore-bound dreamers to join her and travel alongside the dolphins. In this fascinating account, she takes us inside the world of a marine scientist and offers a firsthand understanding of marine mammal behavior, as well as the frustrations, delights, and creativity that make up dolphin research. In this intimate narrative, Bearzi recounts her experiences at sea, tracing her own evolution as a woman and a scientist from her earliest travails to her transformation into an advocate for conservation and dolphin protection. These compelling, in-depth descriptions of her fieldwork also present a captivating look into dolphin social behavior and intelligence. The central part of the book is devoted to the metropolitan bottlenose dolphins of California, as Bearzi draws on her extensive experience to offer insights into the daily lives of these creatures—as well as the difficulties involved in collecting the data that transforms hunches into hypotheses and eventually scientific facts. The book closes by addressing the critical environmental and conservation problems facing these magnificent, socially complex, highly intelligent, and emotional beings. An honest, down-to-earth analysis of what it means to be a marine biologist in the field today, Dolphin Confidential offers an entertaining, refreshingly candid, and always informative description of life among the dolphins.

Mathematical Models of Social Evolution

Author: Richard McElreath
Publisher: University of Chicago Press
ISBN: 0226558282
Format: PDF, ePub, Mobi
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Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously lack the tools to understand them. A primer on behavioral modeling that includes both mathematics and evolutionary theory, Mathematical Models of Social Evolution aims to make the student and professional researcher in biology and the social sciences fully conversant in the language of the field. Teaching biological concepts from which models can be developed, Richard McElreath and Robert Boyd introduce readers to many of the typical mathematical tools that are used to analyze evolutionary models and end each chapter with a set of problems that draw upon these techniques. Mathematical Models of Social Evolution equips behaviorists and evolutionary biologists with the mathematical knowledge to truly understand the models on which their research depends. Ultimately, McElreath and Boyd’s goal is to impart the fundamental concepts that underlie modern biological understandings of the evolution of behavior so that readers will be able to more fully appreciate journal articles and scientific literature, and start building models of their own.