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Zbl 1002.92564
Smith, H.L.
Dynamics of competition. (English)
[A] 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). ISBN 3-540-66522-6

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 $\bbfR^3$ (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.

MSC 2000:: *92D40 Ecology
34C60 Applications of qualitative theory of ODE
37N25 Dynamical systems in biology
35Q80 Appl. of PDE in areas other than physics

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