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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| Format: | Electronic eBook |
| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Series: | Lecture Notes on Mathematical Modelling in the Life Sciences,
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| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- 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.
