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

MSC:
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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References:
[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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