Introduction to Reaction-Diffusion Equations: Theory and Applications to Spatial Ecology and Evolutionary Biology

Author:   King-Yeung Lam ,  Yuan Lou
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2022
ISBN:  

9783031204210


Pages:   312
Publication Date:   02 December 2022
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Introduction to Reaction-Diffusion Equations: Theory and Applications to Spatial Ecology and Evolutionary Biology


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Author:   King-Yeung Lam ,  Yuan Lou
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2022
Weight:   0.504kg
ISBN:  

9783031204210


ISBN 10:   3031204212
Pages:   312
Publication Date:   02 December 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Part I Linear Theory.- 1. The Maximum Principle and the Principal Eigenvalues for Single Equations.- 2. The Principal Eigenvalue for Periodic-Parabolic Problems.- 3. The Maximum Principle and the Principal Eigenvalue for Systems.- 4. The Principal Floquet Bundle for Parabolic Equations.- Part II Ecological Dynamics.- 5. The Logistic Equation With Diffusion.- 6. Spreading in Homogeneous and Shifting Environments.- 7. The Lotka–Volterra Competition-Diffusion Systems for Two Species.- 8. Dynamics of Phytoplankton Populations.- Part III Evolutionary Dynamics.- 9. Elements of Adaptive Dynamics.- 10. Selection-Mutation Models.- Part IV Appendices.- A. The Fixed Point Index.- B. The Krein–Rutman Theorem.- C. Subhomogeneous Dynamics.- D. Existence of Connecting Orbits.- E. Abstract Competition Systems in Ordered Banach Spaces.- Index

Reviews

“This book serves as a good reference for some modern theories of reaction-diffusion equations and its applications to population dynamics. It is written in a self-contained manner that are friendly to beginners … .” (Wan-Tong Li, zbMATH 1521.35001, 2023)


Author Information

King-Yeung Lam is associate professor of mathematics at the Ohio State University. His areas of specialization are partial differential equations and mathematical biology. He has worked on the mathematical aspects of competition of multiple species, evolution of dispersal, asymptotic spreading of species, population dynamics of phytoplankton species, as well as free boundary problems describing cancer and a range of diseases. Yuan Lou is professor of mathematics at Shanghai Jiao Tong University. His areas of specialization are partial differential equations and mathematical biology. He has worked on the mathematical aspects of cross-diffusion systems, Lotka-Volterra competition models with diffusion, population dynamics of phytoplankton species, and the modeling and analysis of infectious diseases. He is the former associate director of the Mathematical Biosciences Institute at the Ohio State University, and the founding director of the Institute for Mathematical Sciences at Renmin University of China.

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