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Parabolic Equations in Biology Growth, reaction, movement and diffusion /

This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dyna...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Perthame, Benoît (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Lecture Notes on Mathematical Modelling in the Life Sciences,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1.Parabolic Equations in Biology
  • 2.Relaxation, Perturbation and Entropy Methods
  • 3.Weak Solutions of Parabolic Equations in whole Space
  • 4.Traveling Waves
  • 5.Spikes, Spots and Pulses
  • 6.Blow-up and Extinction of Solutions
  • 7.Linear Instability, Turing Instability and Pattern Formation
  • 8.The Fokker-Planck Equation
  • 9.From Jumps and Scattering to the Fokker-Planck Equation
  • 10.Fast Reactions and the Stefan free Boundary Problem.