Introduction to Reaction-Diffusion Equations

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

Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.

• Cálculo e análise matemática
• Cibernética e teoria dos sistemas
• Evolução
• Matemática aplicada

mathematical biology;evolutionarily stable strategy;adaptive dynamics;evolution of dispersal;reaction-diffusion equations;spectral theory;principal Floquet bundle;monotone dynamical systems;phytoplankton population dynamics;selection-mutation models