| Title | Elements of Mathematical Ecology |
| Author(s) | Mark Kot |
| Publisher | Cambridge University Press |
| Year | 2001 |
| Edition | 1st edition |
| Language | English |
| Pages | 464 pages |
| ISBN | 9780521802138 |
| Genre / Domain | Mathematical Biology, Ecology, Applied Mathematics |
| Size | 16.82 MB |
| Extension |
Summary
"Elements of Mathematical Ecology" by Mark Kot is a comprehensive and rigorous textbook that introduces readers to the mathematical models and methods used to understand population dynamics. Published by Cambridge University Press in 2001, this book serves as an essential resource for advanced students and researchers in ecology, mathematical biology, and applied mathematics . It provides a thorough grounding in both classical and contemporary approaches, bridging the gap between mathematical theory and ecological application .
The book is structured into two main parts. The first section focuses on simple, unstructured population models, deliberately simplifying the variability found in natural populations to make the mathematics tractable. Key topics covered include density dependence, bifurcations, demographic stochasticity, time delays, and the interactions between populations such as predation, competition, and mutualism . The text also explores optimal control theory as applied to the management of renewable resources, providing a practical dimension to the theoretical foundations .
The second part of the book advances to structured population models, which account for the spatial and age-related complexities inherent in real-world populations. This includes a detailed treatment of spatially-structured models, particularly reaction-diffusion models, as well as age-structured models and two-sex models . By progressing from simple to complex, Kot enables readers to build their understanding systematically, developing the skills needed to analyze and interpret ecological data using mathematical tools.
The primary audience for this book includes advanced undergraduate and graduate students in ecology, mathematical biology, and applied mathematics, as well as novice researchers seeking to deepen their knowledge of mathematical ecology . The book features clear line diagrams to elucidate mathematical concepts, relevant problems throughout to reinforce learning, and supplementary mathematical and historical context to enrich the main content . This pedagogical approach makes the book both accessible and intellectually stimulating.
Mark Kot's "Elements of Mathematical Ecology" has established itself as a standard reference in the field, praised for its clarity, rigor, and comprehensive coverage . Its publication by Cambridge University Press, a leading academic publisher, ensures high editorial standards and broad accessibility. The book remains a valuable resource for anyone interested in the mathematical foundations of population ecology and the application of mathematical methods to ecological problems .
Key Features
- Provides a comprehensive introduction to mathematical models in population ecology .
- Covers both classical and contemporary approaches to modeling ecological dynamics .
- Addresses unstructured population models, including density dependence and bifurcations .
- Explores population interactions such as predation, competition, and mutualism .
- Includes optimal control theory for renewable resource management .
- Advances to structured models, including spatially-structured reaction-diffusion models .
- Covers age-structured and two-sex models for more realistic population dynamics .
- Features clear line diagrams to illustrate complex mathematical concepts .
- Includes relevant problems throughout to enhance understanding and application .
- Published by Cambridge University Press, ensuring high academic quality .
About Author
Mark Kot is a professor in the Department of Applied Mathematics at the University of Washington, where he specializes in mathematical biology and ecology . He holds a Ph.D. in applied mathematics and has dedicated his career to bridging the gap between mathematical theory and biological application . His research interests include population dynamics, spatial ecology, and the mathematical modeling of biological invasions .
Kot is widely recognized for his contributions to the field of mathematical ecology, both through his research and his teaching . He has published numerous articles in leading journals and has been instrumental in training the next generation of mathematical biologists . His textbook, "Elements of Mathematical Ecology," is a testament to his expertise and his commitment to providing students and researchers with a solid foundation in the mathematical tools needed to understand ecological systems .
Related Books
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- Mathematical Ecology of Populations and Ecosystems — John Pastor
- An Introduction to Mathematical Ecology — E. C. Pielou
- Mathematical Biology: I. An Introduction — James D. Murray
- Population Ecology: A Unified Study of Animals and Plants — Michael Begon et al.
- Ecology: From Individuals to Ecosystems — Michael Begon et al.
- A Primer of Ecology — Nicholas J. Gotelli
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FAQ
Q : Who is the author of this book?
R : The author is Mark Kot, a professor of applied mathematics at the University of Washington specializing in mathematical biology and ecology .
Q : What is the main focus of "Elements of Mathematical Ecology"?
R : It provides a comprehensive introduction to mathematical models and methods used in population ecology, covering both unstructured and structured population models .
Q : Who is the target audience for this book?
R : Advanced students and researchers in ecology, mathematical biology, and applied mathematics .
Q : What topics are covered in the book?
R : Topics include density dependence, bifurcations, demographic stochasticity, time delays, predation, competition, mutualism, optimal control theory, and reaction-diffusion models .
Q : What is the ISBN of the book?
R : The ISBN is 9780521802138.
Q : How many pages does the book contain?
R : The book contains 464 pages .
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