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A MODIFIED TWO-DIMENSIONAL LOTKA-VOLTERRA MODEL WITH EXCHANGE BETWEEN COOPERATION AND COMPETITION

A MODIFIED TWO-DIMENSIONAL LOTKA-VOLTERRA MODEL WITH EXCHANGE BETWEEN COOPERATION AND COMPETITION
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摘要 Under the assumptions that there exists exchange between cooperation and competition in some ecological systems, the paper provides a modei based on the Lotka-Volterra equations to describe the exchange in a two-dimensional system. Then dynamics of the model is studied in detail, the division of distinct regions associated with difFerent dynamics in the parameter space is obtained, and the biological significance of these dynamical properties represent is discussed. Under the assumptions that there exists exchange between cooperation and competition in some ecological systems, the paper provides a modei based on the Lotka-Volterra equations to describe the exchange in a two-dimensional system. Then dynamics of the model is studied in detail, the division of distinct regions associated with difFerent dynamics in the parameter space is obtained, and the biological significance of these dynamical properties represent is discussed.
机构地区 Dept. of Math.
出处 《Annals of Differential Equations》 2003年第3期458-463,共6页 微分方程年刊(英文版)
基金 Suppotted by the NNSF of China(19972058) and the NSF of Yunnan Province(2001A0001M).
关键词 Lotka-Volterra equation exchange between cooperation and competition Descartes' rule of signs Routh-Hurwitz criterion Lotka-Volterra equation, exchange between cooperation and competition, Descartes' rule of signs, Routh-Hurwitz criterion
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