Abstract
The competition between species in a biological system is analyzed in terms of linear and nonlinear models. The significance of stochastic phenomena in evolutionary processes is emphasized. A qualitative model of evolution as a hopping process on the eigenvalue ladder is developed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Allen, P., Ebeling, W., Evolution and the Stochastic Description of Simple Ecosystems. BioSystems 16:113 (1983).
Bruckner, E., Ebeling, W., Scharnhorst, A., Stochastic Dynamics of Instabilities in Evolutionary Systems. System Dynamics Review 5:176 (1989).
Ebeling, W., Feistel, R., Physik der Selbstorganisation und Evolution. Akademie-Verlag, Berlin (1982, 1986).
Ebeling, W., Schmelzer, J., Koexistenz von Sorten in nichtlinearen autokatalytischen Parallelreaktionen. Z. phys. Chemie 261:31 (1980);
Ebeling, W., Schmelzer, J., Koexistenz von Sorten in nichtlinearen autokatalytischen Parallelreaktionen. studia biophysics 78:31 (1980);
Ebeling, W., Schmelzer, J., Koexistenz von Sorten in nichtlinearen autokatalytischen Parallelreaktionen. studia biophysics 80:53 (1980).
Ebeling, W., Sonntag, I., Stochastic Description of Evolutionary Processes in Underoccupied Systems. BioSystems 19:91 (1986).
Ebeling, W., Feistel, R., Stochastic Theory of Molecular Replication Processes, Ann. Physik 34:91 (1977).
Ebeling, W., Engel, A., Mazenko, V., Modelling of Selection Processes With Age-dependent Birth and Death Rates. BioSystems 19:213 (1986).
Eigen, M., Schuster, P., The hypercycle. Naturwissenschaften 64:541 (1977);
Eigen, M., Schuster, P., The hypercycle. Naturwissenschaften 65:341 (1978).
Feistel, R., Ebeling, W., Evolution of Complex Systems. Verlag der Wissenschaften, Berlin (1989), Kluwer Academic Publ., Dordrecht (1989).
Fisher, R.A., The Genetical Theory of Natural Selection. Clarendon Press, Oxford (1930).
Haken, H., Advanced Synergetics. Springer-Verlag, Berlin (1983).
Hofbauer, J., Sigmund, K., Evolutionstheorie und dynamische Systeme. Parey-Verlag Hamburg (1984).
Kristensen, H., Risbo, L., Mosekilde, E., and Engelbrecht, J., Complex Dynamics in Bacterium-Phage Interactions, Proc. SCS European Simulation Multiconference, Erlangen-Nuremberg, West Germany, 636 (1990).
Mosekilde, E., Aracil, J., Allen, P.M., Instabilities and Chaos in Nonlinear Dynamical Systems. System Dynamics Review 4:14 (1988).
Prigogine, I., Nicolis, G., Babloyantz, A., Thermodynamics and Evolution. Physics Today 25:38 (1972).
Rasmussen, S., Mosekilde, E., and Engelbrecht, J., Time of Emergence and Dynamics of Cooperative Gene Networks, Proc. MIDIT Workshop on Structure, Coherence and Chaos, Manchester University Press, eds. P.L. Christiansen and B. Parmentier, 315 (1989).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Plenum Press, New York
About this chapter
Cite this chapter
Ebeling, W. (1991). Mutations and Selection in Evolutionary Processes. In: Mosekilde, E., Mosekilde, L. (eds) Complexity, Chaos, and Biological Evolution. NATO ASI Series, vol 270. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-7847-1_15
Download citation
DOI: https://doi.org/10.1007/978-1-4684-7847-1_15
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-7849-5
Online ISBN: 978-1-4684-7847-1
eBook Packages: Springer Book Archive