All Title Author
Keywords Abstract

Global Properties of Evolutional Lotka-Volterra System

DOI: 10.4236/apm.2013.39097, PP. 709-718

Keywords: Lotka-Volterra System, Global Dynamics, Evolution

Full-Text   Cite this paper   Add to My Lib


We will study global properties of evolutional Lotka-Volterra system. We assume that the predatory efficiency is a function of a character of species whose evolution obeys a quantitative genetic model. We will show that the structure of a solution is rather different from that of a non-evolutional system. We will analytically show new ecological features of the dynamics.


[1]  R. Lande, “Quantitative Genetic Analysis of Multivariate Evolution Applied to Brain: Body Allometry,” Evolution, Vol. 33, No. 1, 1979, pp. 402-416.
[2]  R. Lande and S. J. Arnold, “The Measurement of Selection on Correlated Characters,” Evolution, Vol. 37, No. 6, 1983, pp.1210-1226.
[3]  P. A. Abrams and H. Matsuda, “Prey Adaptation as a Cause of Predator-Prey Cycles,” Evolution, Vol. 51, No. 6, 1997, pp. 1742-1750.
[4]  P. A. Abrams, “Evolutionay Responses Offoraging-Related traits in Unstable Predator-Prey Systems,” Evolutionary Ecology, Vol. 11, No. 6, 1997, pp. 673-686.
[5]  P. A. Abrams and H. Matsuda, “Fitness Minimization and Dynamic Instability as a Consequence of Predator-Prey Coevolution,” Evolutionary Ecology, Vol. 11, No. 1, 1997, pp. 1-20.
[6]  Y. Takeuchi, “Global Dynamical Properties of Lotka-Volterra Systems,” World Scientific, Singapore, 1996.
[7]  R. A. Fisher, “The Genetical Theory of Natural Selection,” Claredon Press, Oxford, 1930.


comments powered by Disqus