Abstract
This course will provide a gentle introduction to reaction-diffusion equations in mathematical biology. The course will be organised into five related parts as follows:
1) Conservation equations
2) Linear reaction-diffusion equations
3) Nonlinear reaction-diffusion equations
4) Systems of nonlinear reaction-diffusion equations
5) Nonlocal reaction-diffusion equations
Recommended Books
J.D. Murray, Mathematical Biology I: An Introduction, Springer, 3rd ed. 2003
J.D. Murray, Mathematical Biology II: Spatial Models and Biomedical Applications, Springer, 3rd ed. 2003
B. Perthame, Transport Equations in Biology, Birkh auser, 2007
B. Perthame, Parabolic Equations in Biology -- Growth, Reaction, Movement and Diffusion, Springer, 2015
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