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

Lam, King-Yeung; Lou, Yuan

 
9783031204234: Introduction to Reaction-Diffusion Equations: Theory and Applications to Spatial Ecology and Evolutionary Biology

Synopsis

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

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9783031204210: Introduction to Reaction-Diffusion Equations: Theory and Applications to Spatial Ecology and Evolutionary Biology (Lecture Notes on Mathematical Modelling in the Life Sciences)

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ISBN 10:  3031204212 ISBN 13:  9783031204210
Publisher: Springer, 2022
Softcover