A criterion of global convergence to equilibrium for differential systems. Application to Lotka-Volterra systems
A criterion of global convergence to equilibrium for differential systems. Application to Lotka-Volterra systems
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微分系统全局收敛到平衡的标准。
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
J. Gouzé
中科院分区：
文献类型：
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作者：
J. Gouzé
我们研究了n空间中一类相当一般的常微分方程组，它可以表示为拟单调与单调递增系统的差分。我们将2n空间中的另一个合作系统与这个系统联系起来。我们得到了收敛于平衡的一个充分条件，并将其应用于线性系统和Lotka-Volterra系统。
We study a rather general class of systems of ordinary differential equations in n-space that can be expressed as the difference of a quasi-monotone and a monotone increasing system. We associate to the system another cooperative system in 2n-space. We obtain a sufficent condition of convergence to equilibrium, and apply it to linear and Lotka-Volterra systems.