×
Mosqueira, F. G.

A simple competition model involving selection. (English) Zbl 0524.92011

Bull. Math. Biol. 45, 51-67 (1983).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0524.92011

MSC:

92D15 Problems related to evolution
92B05 General biology and biomathematics
80A30 Chemical kinetics in thermodynamics and heat transfer
93C15 Control/observation systems governed by ordinary differential equations
92D40 Ecology
92Cxx Physiological, cellular and medical topics

Keywords:

selection; Eigen equations; ecological constraint; evolution of competing species; self-reproduction; kinetic equations; steady state solution; stability; double-stranded nucleic acids; polymerization; Poincare- Bendixson theorem
Cite Review PDF
Full Text: DOI

References:

[1] Cesari, L. 1963.Asymptotic Behavior and Stability Problems in Ordinary Differential Equations. New York: Academic Press. · Zbl 0111.08701
[2] Eigen, M. 1971. ”Self-Organization of Matter and the Evolution of Biological Macromolecules.”Naturwissenschaften 58, 465–523. · doi:10.1007/BF00623322
[3] – and P. Schuster. 1977. ”The Hypercycle. A Principle of Natural Self-Organization. Part A: Emergence of the Hypercycle.”Naturwissenschaften 64, 541–565. · doi:10.1007/BF00450633
[4] – and –. 1978. ”The Hypercycle. A Principle of Natural Self-Organization. Part B.”Naturwissenschaften 65, 7–41. · doi:10.1007/BF00420631
[5] Epstein, I. R. and M. Eigen. 1979. ”Selection and Self-Organization of Self-Reproducing Macromolecules Under the Constraint of Constant Flux.”Biophys. Chem. 10, 153–160. · doi:10.1016/0301-4622(79)85035-8
[6] Jones, B. L., R. H. Enns and S. S. Rangnekar. 1976. ”On the Theory of Selection of Coupled Macromolecular Systems.”Bull. math. Biol. 38, 15–28. · Zbl 0323.92005 · doi:10.1007/BF02459537
[7] – 1979a. ”Selection in Systems of Self-Reproducing Macromolecules Under the Constraint of Controlled Energy Fluxes.”Bull. Math. Biol. 41, 761–766. · Zbl 0415.92003 · doi:10.1007/BF02462374
[8] – 1979b. ”Some Models for Selection of Biological Macromolecules with Time Varying Constraints.”Bull. math. Biol. 41, 849–859. · Zbl 0415.92002 · doi:10.1007/BF02462382
[9] Mosqueira, F. G. 1979. ”Stability Properties of a Primitive Translation Mechanism.”Biosystems 11, 233–242. · doi:10.1016/0303-2647(79)90024-8
[10] Plowman, K. M. 1971.Enzyme Kinetics, p. 47. New York: McGraw-Hill.
[11] Protter, M. H. and C. B. Morrey. 1964.College Calculus with Analytic Geometry, p. 329. New York: Addison-Wesley. · Zbl 0228.26001
[12] Thompson, C. J. and J. L. McBride. 1974. ”On Eigen’s Theory of the Self-Organization of Matter and the Evolution of Biological Macromolecules.”Math. Biosci. 21, 127–142. · Zbl 0287.92005 · doi:10.1016/0025-5564(74)90110-2
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.