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Global Models of Growth and Competition

作者:Michael E. Gilpin, Francisco J. Ayala · 发表于:Proceedings of the National Academy of Sciences · 年份:1973 · DOI:10.1073/pnas.70.12.3590 · 被引用次数:589 · 研究领域:Mathematical and Theoretical Epidemiology and Ecology Models、Evolution and Genetic Dynamics、Mathematical Biology Tumor Growth

Very precise data on the dynamics of a competitive system of two species of Drosophila have been obtained. By a curvilinear regression approach, analytical models of competition have been fitted. By statistical and biological criteria of simplicity, reality, generality, and accuracy, the best of these models has been chosen. This model represents an extension of the Lotka-Volterra model of competition; it adds a fourth parameter that controls the degree of nonlinearity in intraspecific growth regulation. It represents a similar extension of the logistic model of population growth.