A BIOLOGIST S GUIDE TO MATHEMATICAL MODELING IN ECOLOGY AND EVOLUTION

Download A Biologist S Guide To Mathematical Modeling In Ecology And Evolution ebook PDF or Read Online books in PDF, EPUB, and Mobi Format. Click Download or Read Online button to A BIOLOGIST S GUIDE TO MATHEMATICAL MODELING IN ECOLOGY AND EVOLUTION book pdf for free now.

A Biologist S Guide To Mathematical Modeling In Ecology And Evolution

Author : Sarah P. Otto
ISBN : 9781400840915
Genre : Science
File Size : 57.67 MB
Format : PDF, ePub, Docs
Download : 965
Read : 1060

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
Category: Science

Mathematical Methods In Biology

Author : J. David Logan
ISBN : 9780470525876
Genre : Mathematics
File Size : 45.81 MB
Format : PDF, ePub, Mobi
Download : 698
Read : 336

A one–of–a–kind guide to using deterministic and probabilistic methods for solving problems in the biological sciences Highlighting the growing relevance of quantitative techniques in scientific research, Mathematical Methods in Biology provides an accessible presentation of the broad range of important mathematical methods for solving problems in the biological sciences. The book reveals the growing connections between mathematics and biology through clear explanations and specific, interesting problems from areas such as population dynamics, foraging theory, and life history theory. The authors begin with an introduction and review of mathematical tools that are employed in subsequent chapters, including biological modeling, calculus, differential equations, dimensionless variables, and descriptive statistics. The following chapters examine standard discrete and continuous models using matrix algebra as well as difference and differential equations. Finally, the book outlines probability, statistics, and stochastic methods as well as material on bootstrapping and stochastic differential equations, which is a unique approach that is not offered in other literature on the topic. In order to demonstrate the application of mathematical methods to the biological sciences, the authors provide focused examples from the field of theoretical ecology, which serve as an accessible context for study while also demonstrating mathematical skills that are applicable to many other areas in the life sciences. The book′s algorithms are illustrated using MATLAB®, but can also be replicated using other software packages, including R, Mathematica®, and Maple; however, the text does not require any single computer algebra package. Each chapter contains numerous exercises and problems that range in difficulty, from the basic to more challenging, to assist readers with building their problem–solving skills. Selected solutions are included at the back of the book, and a related Web site features supplemental material for further study. Extensively class–tested to ensure an easy–to–follow format, Mathematical Methods in Biology is an excellent book for mathematics and biology courses at the upper–undergraduate and graduate levels. It also serves as a valuable reference for researchers and professionals working in the fields of biology, ecology, and biomathematics.
Category: Mathematics

Invasion Dynamics

Author : Cang Hui
ISBN : 9780191062520
Genre : Science
File Size : 50.64 MB
Format : PDF, ePub
Download : 739
Read : 1158

Humans have moved organisms around the world for centuries but it is only relatively recently that invasion ecology has grown into a mainstream research field. This book examines both the spread and impact dynamics of invasive species, placing the science of invasion biology on a new, more rigorous, theoretical footing, and proposing a concept of adaptive networks as the foundation for future research. Biological invasions are considered not as simple actions of invaders and reactions of invaded ecosystems, but as co-evolving complex adaptive systems with emergent features of network complexity and invasibility. Invasion Dynamics focuses on the ecology of invasive species and their impacts in recipient social-ecological systems. It discusses not only key advances and challenges within the traditional domain of invasion ecology, but introduces approaches, concepts, and insights from many other disciplines such as complexity science, systems science, and ecology more broadly. It will be of great value to invasion biologists analyzing spread and/or impact dynamics as well as other ecologists interested in spread processes or habitat management.
Category: Science

Applied Mathematics

Author : J. David Logan
ISBN : 9781118501702
Genre : Mathematics
File Size : 38.81 MB
Format : PDF, ePub
Download : 826
Read : 777

Praise for the Third Edition “Future mathematicians, scientists, and engineers shouldfind the book to be an excellent introductory text for courseworkor self-study as well as worth its shelf space forreference.” —MAA Reviews Applied Mathematics, Fourth Edition is a thoroughly updated andrevised edition on the applications of modeling and analyzingnatural, social, and technological processes. The book covers awide range of key topics in mathematical methods and modeling andhighlights the connections between mathematics and the applied andnatural sciences. The Fourth Edition covers both standard and moderntopics, including scaling and dimensional analysis; regular andsingular perturbation; calculus of variations; Green’sfunctions and integral equations; nonlinear wave propagation; andstability and bifurcation. The book provides extended coverage ofmathematical biology, including biochemical kinetics, epidemiology,viral dynamics, and parasitic disease. In addition, the new editionfeatures: Expanded coverage on orthogonality, boundary value problems,and distributions, all of which are motivated by solvability andeigenvalue problems in elementary linear algebra Additional MATLAB® applications for computer algebrasystem calculations Over 300 exercises and 100 illustrations that demonstrateimportant concepts New examples of dimensional analysis and scaling along with newtables of dimensions and units for easy reference Review material, theory, and examples of ordinary differentialequations New material on applications to quantum mechanics, chemicalkinetics, and modeling diseases and viruses Written at an accessible level for readers in a wide range ofscientific fields, Applied Mathematics, Fourth Edition is anideal text for introducing modern and advanced techniques ofapplied mathematics to upper-undergraduate and graduate-levelstudents in mathematics, science, and engineering. The book is alsoa valuable reference for engineers and scientists in government andindustry.
Category: Mathematics

The American Naturalist

Author :
ISBN : MINN:31951P00965364P
Genre : Natural history
File Size : 20.81 MB
Format : PDF, ePub
Download : 841
Read : 521

Category: Natural history

Official Meeting Program

Author : Ecological Society of America. Meeting
ISBN : STANFORD:36105132965562
Genre : Ecology
File Size : 80.16 MB
Format : PDF
Download : 835
Read : 1194

Category: Ecology

Mathematical Reviews

Author :
ISBN : UOM:39015078588590
Genre : Mathematics
File Size : 49.17 MB
Format : PDF, ePub, Mobi
Download : 235
Read : 732

Category: Mathematics

Extended Heredity

Author : Russell Bonduriansky
ISBN : 9781400890156
Genre : Science
File Size : 31.60 MB
Format : PDF
Download : 517
Read : 556

How genes are not the only basis of heredity—and what this means for evolution, human life, and disease For much of the twentieth century it was assumed that genes alone mediate the transmission of biological information across generations and provide the raw material for natural selection. In Extended Heredity, leading evolutionary biologists Russell Bonduriansky and Troy Day challenge this premise. Drawing on the latest research, they demonstrate that what happens during our lifetimes--and even our grandparents' and great-grandparents' lifetimes—can influence the features of our descendants. On the basis of these discoveries, Bonduriansky and Day develop an extended concept of heredity that upends ideas about how traits can and cannot be transmitted across generations. By examining the history of the gene-centered view in modern biology and reassessing fundamental tenets of evolutionary theory, Bonduriansky and Day show that nongenetic inheritance—involving epigenetic, environmental, behavioral, and cultural factors—could play an important role in evolution. The discovery of nongenetic inheritance therefore has major implications for key questions in evolutionary biology, as well as human health. Extended Heredity reappraises long-held ideas and opens the door to a new understanding of inheritance and evolution.
Category: Science

The Founders Of Evolutionary Genetics

Author : S. Sarkar
ISBN : 9789401128568
Genre : Science
File Size : 32.86 MB
Format : PDF, ePub, Mobi
Download : 811
Read : 1104

genetics. " It is simply the appropriation of that term, very likely with insufficient knowledge and respect for its past usage. For that, the Editor alone is responsible and requests tolerance. He has, as far as he can tell, no intention or desire to use it for any historiographical purposes other than that just mentioned. Even more important, the decision to consider Muller together with Fisher, Haldane and Wright is also not original. Crow (1984) has already done so, arguing persua sively that Muller was "keenly interested in evolution and made sub stantial contributions to the development of the neo-Darwinian view. " Crow's reasons for considering these four figures together and the reasons discussed above are complementary. This book continues a historiographical choice he initiated; others will have to judge whether it is appropriate. The foregoing considerations were intended to show why Fisher, Haldane, Muller and Wright should be considered together in the history of theoretical evolutionary genetics. I By a welcome stroke of luck, from the point of view of the Editor, all four of these figures were born almost together, between 1889 and 1892, and almost exactly a century ago. It therefore seemed appropriate to use their birth cente naries to consider their work together. A conference was held at Boston University, on March 6, 1990, under the auspices of the Boston Center for the Philosophy and History of Science, to discuss their work. This book has emerged mainly from that conference.
Category: Science