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Reaction transport systems in biological modelling. (English) Zbl 1002.92506
Capasso, V. (ed.) et al., Mathematics inspired by biology. Lectures given at the 1st session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Martina Franca, Italy, June 13-20, 1997. Berlin: Springer. Lect. Notes Math. 1714, 95-150 (1999).
Contents: (1) Spreading in space. (2) Introducing reactions. (3) Boundary conditions. (4) Linear initial boundary problems. (5) Random walk systems for several species. (6) Local existence and spectral problems. (7) Invariance principles and Lyapunov functions. (8) Qualitative behavior. (9) Stationary solutions. (10) Travelling front solutions. (11) Epidemic spread. (12) Chemotaxis and aggregation. (13) Turing phenomenon and pattern formation. (14) Other applications and extensions. (15) Models in discrete space.
For the entire collection see [Zbl 0930.00085].

MSC:
92C05 Biophysics
35Q92 PDEs in connection with biology, chemistry and other natural sciences
35K57 Reaction-diffusion equations
92D30 Epidemiology
92C15 Developmental biology, pattern formation
92C17 Cell movement (chemotaxis, etc.)
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