Shandelle M. Henson's Books

Modeling Behavior and Population Dynamics

Seabirds, Seals, and Marine Iguanas

By: Jim M. Cushing,Shandelle M. Henson,James L. Hayward

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Modeling Behavior and Population Dynamics

Seabirds, Seals, and Marine Iguanas

By: Jim M. Cushing,Shandelle M. Henson,James L. Hayward

This monograph summarizes several decades of collaborations between ecologists and mathematicians, presenting novel applications in biological modeling. The authors are among the first researchers to pioneer the use of dynamical systems models to successfully describe and predict animal behavior in relation to environmental changes. The text highlights the biological and mathematical techniques used in the research, including three main components: 1) large data sets on natural populations in the field; 2) mathematical models rigorously tied to data, which describe, explain, and predict behavioral dynamics in relation to environmental variables; and 3) simplified, proof-of-concept models to probe dynamic mechanisms, suggest testable hypotheses, and allow study of the consequences of environmental change and evolving traits. It is a suitable text for field ecologists interested in the modeling procedures and conclusions addressed therein, as well as mathematicians interested in applications to population, ecological, and evolutionary dynamics.

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Page Count

299

Publisher

Springer Nature

Published Date

ISBN 10

3031342836

ISBN 13

9783031342837

Mathematical Modeling in Biology

A Research Methods Approach

By: Shandelle M. Henson,James L. Hayward

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Mathematical Modeling in Biology

A Research Methods Approach

By: Shandelle M. Henson,James L. Hayward

Mathematical Modeling in Biology: A Research Methods Approach is a textbook written primarily for advanced mathematics and science undergraduate students and graduate-level biology students. Although the applications center on ecology, the expertise of the authors, the methodology can be imported to any other science, including social science and economics. The aim of the book, beyond being a useful aid to teaching and learning the core modeling skills needed for mathematical biology, is to encourage students to think deeply and clearly about the meaning of mathematics in science and to learn significant research methods. Most importantly, it is hoped that students will experience some of the excitement of doing research. Features Minimal pre-requisites beyond a solid background in calculus, such as a calculus I course. Suitable for upper division mathematics and sciences students and graduate-level biology students. Provides sample MATLAB codes and instruction in Appendices along with datasets available on https://bit.ly/3fcLF3D

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Page Count

285

Publisher

CRC Press

Published Date

ISBN 10

1000806103

ISBN 13

9781000806106

Chaos in Ecology

Experimental Nonlinear Dynamics

By: J. M. Cushing,Robert F. Costantino,Brian Dennis,Robert Desharnais,Shandelle Marie Henson

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Chaos in Ecology

Experimental Nonlinear Dynamics

By: J. M. Cushing,Robert F. Costantino,Brian Dennis,Robert Desharnais,Shandelle Marie Henson

It is impossible to predict the exact behavior of all biological systems and how these same systems are exemplified by patterns of complexity and regularity. Decades of research in ecology have documented how these sorts of patterns are the consequences of deceptively simple rules that determine the nature of the patterns created. Chaos in Ecology will explain how simple beginnings result in complicated results. Chaos in Ecology is the inaugural volume of Theoretical Ecology Series. The authors of this volume have employed data from a proven model system in population dynamics. As a result, this book will be of interest to anyone interested in the ecology of populations. - It is impossible to predict the exact behavior of almost all biological systems and yet these same systems are exemplified by patterns of complexity and regularity. Decades of research in ecology have documented that these sorts of patterns are the consequence of deceptively simple rules that determine the nature of the patterns created. In essence, simple beginnings result in complicated results - This realization is captured in the mathematical notion of "chaos" and is rendered intuitive by the oft-repeated metaphor: "A butterfly beats its wings in China and causing a thunderstorm in the Midwest." Thus, seemingly trivial initial conditions (e.g. a butterfly in China) cascade through a series of intermediate events to create a significant large-scale event (e.g. a thunderstorm) - Chaos in Ecology is the inaugural volume of Theoretical Ecology Series. The authors of this volume have employed data from a proven model system in population dynamics. As a result, this book will be of interest to anyone interested in the ecology of populations

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Page Count

241

Publisher

Elsevier

Published Date

ISBN 10

0080528872

ISBN 13

9780080528878

Book's by Shandelle M. Henson

Modeling Behavior and Population Dynamics

Modeling Behavior and Population Dynamics

Mathematical Modeling in Biology

Mathematical Modeling in Biology

Chaos in Ecology

Chaos in Ecology

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