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A general cooperation theorem for hypercycles. (English) Zbl 0449.34039

34D20 Stability of solutions to ordinary differential equations
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
37-XX Dynamical systems and ergodic theory
92D25 Population dynamics (general)
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[1] Eigen, M., Schuster, P.: The Hypercycle?A Principle of Natural Selforganization. Berlin-Heidelberg-New York: Springer. 1979.
[2] Hofbauer, J., Schuster, P., Sigmund, K.: Competition and cooperation in catalytic selfreplication. J. Math. Biology11, 155-168 (1981). · Zbl 0448.92011
[3] Schuster, P., Sigmund, K., Hofbauer, J., Wolff, R.: Selfregulation of behaviour in animal societies. Biol. Cybern40, 1-25 (1981). · Zbl 0465.92016
[4] Schuster, P., Sigmund, K., Wolff, R.: Dynamical systems under constant organization III: Cooperative and competitive behavior of hypercycles. J. Diff. Equ.32, 357-368 (1979). · Zbl 0397.34055
[5] Schuster, P., Sigmund, K., Wolff, R.: Mass action kinetics of selfreplication in flow reactors. J. Math. Anal. Appl.78, 88-112 (1980). · Zbl 0464.92023
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