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Stability analysis for the fractional-order single-species model with the dispersal

机译:带有扩散的分数阶单物种模型的稳定性分析

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摘要

In this paper, the single-species model with the dispersal is extended to the fractional-order model. Caputo fractional order derivatives are used. Fractional-order single-species model with the dispersal is interpreted as a coupled system on a network. By using graph theoretical approach of the coupled systems, constructing Lyapunov functions method and stability theory of the fractional-order system, positive equilibrium's existence theorems and stability theorems for the new model are obtained. An example is given to illustrate the applications of main results.
机译:本文将具有分散性的单物种模型扩展到分数阶模型。使用Caputo分数阶导数。具有扩散的分数阶单物种模型被解释为网络上的耦合系统。通过使用耦合系统的图论方法,构造李雅普诺夫函数法和分数阶系统稳定性理论,得到了新模型的正平衡存在性定理和稳定性定理。给出一个例子来说明主要结果的应用。

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