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分数阶Lotka-Volterra型合作模型：对其稳定性行为的脉冲控制

Fractional Lotka-Volterra-Type Cooperation Models: Impulsive Control on Their Stability Behavior.

作者信息

Tuladhar Rohisha, Santamaria Fidel, Stamova Ivanka

机构信息

Department of Biology, University of Texas at San Antonio, San Antonio, TX 78249, USA.

Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA.

出版信息

Entropy (Basel). 2020 Aug 31;22(9):970. doi: 10.3390/e22090970.

DOI:10.3390/e22090970
PMID:33286739
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7597273/
Abstract

We present a biological fractional -species delayed cooperation model of Lotka-Volterra type. The considered fractional derivatives are in the Caputo sense. Impulsive control strategies are applied for several stability properties of the states, namely Mittag-Leffler stability, practical stability and stability with respect to sets. The proposed results extend the existing stability results for integer-order n-species delayed Lotka-Volterra cooperation models to the fractional-order case under impulsive control.

摘要

我们提出了一种Lotka-Volterra型生物分数阶物种延迟合作模型。所考虑的分数阶导数是在Caputo意义下的。脉冲控制策略被应用于研究状态的几种稳定性性质，即Mittag-Leffler稳定性、实际稳定性和相对于集合的稳定性。所提出的结果将整数阶n物种延迟Lotka-Volterra合作模型的现有稳定性结果扩展到了脉冲控制下的分数阶情形。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ef08/7597273/5444f628de0e/entropy-22-00970-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ef08/7597273/bae4a5c316f4/entropy-22-00970-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ef08/7597273/5444f628de0e/entropy-22-00970-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ef08/7597273/bae4a5c316f4/entropy-22-00970-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ef08/7597273/5444f628de0e/entropy-22-00970-g002.jpg

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