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, 191-240 (1999).
Contents: 1) Introduction; 2) Some Notation and Fundamental Results (Cones and Partial Orders, Basic Comparison Principle for ODEs, Comparison Principles for Parabolic PDEs); 3) Planar Competitive Systems (Periodically Forced Competitive Systems, Competitive Maps); 4) Phytoplankton Growth in Periodic Chemostat; 5) Autonomous Competitive Systems (General Results, 3-Dimensional Competitive Systems); 6) Examples of Competitive Systems in (A Predator-Prey Model, Model of cAMP signaling in the Slime Mold, Model of a Mitotic Oscillator); 7) Abstract Dynamics of Competition; 8) Competition and Diffusion.
|34C60||Qualitative investigation and simulation of models (ODE)|
|37N25||Dynamical systems in biology|
|35Q80||Appl. of PDE in areas other than physics (MSC2000)|