多矩阵复制体的持久性

IF 1.1 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Dynamics and Games Pub Date : 2021-01-01 DOI:10.3934/jdg.2020032

Telmo Peixe

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引用次数: 3

摘要

一般来说，如果在微小的扰动下没有一个物种走向灭绝，那么一个生物系统就被称为是永久的。1979年，P. Schuster, K. Sigmund和R. Wolff[14]引入了永久性的概念，作为模拟生物大分子自组织的系统的稳定性概念。之后，在1987年W。Jansen [8]， J. Hofbauer和K. Sigmund[8]给出了通常复制因子存在的充分条件。本文将这些结果推广到多矩阵复制子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Permanence in polymatrix replicators

Generally a biological system is said to be permanent if under small perturbations none of the species goes to extinction. In 1979 P. Schuster, K. Sigmund, and R. Wolff [14] introduced the concept of permanence as a stability notion for systems that models the self-organization of biological macromolecules. After, in 1987 W. Jansen [8], and J. Hofbauer and K. Sigmund [5] give sufficient conditions for permanence in the usual replicators. In this paper we extend these results for polymatrix replicators.

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来源期刊

Journal of Dynamics and Games MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： The Journal of Dynamics and Games (JDG) is a pure and applied mathematical journal that publishes high quality peer-review and expository papers in all research areas of expertise of its editors. The main focus of JDG is in the interface of Dynamical Systems and Game Theory.