ArticleEntropy (Basel, Switzerland)2022
Stability of Gene Regulatory Networks Modeled by Generalized Proportional Caputo Fractional Differential Equations.
Article in Entropy (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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Who cites it
2 citing papers in PubMed.
- Stability of Gene Regulatory Networks Modeled by Generalized Proportional Caputo Fractional Differential Equations.Entropy (Basel, Switzerland) · 2022Article
- Fractional Euler numbers and generalized proportional fractional logistic differential equation.Fractional calculus & applied analysis · 2022Article
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Authors and funding
4 authors.
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Abstract
A model of gene regulatory networks with generalized proportional Caputo fractional derivatives is set up, and stability properties are studied. Initially, some properties of absolute value Lyapunov functions and quadratic Lyapunov functions are discussed, and also, their application to fractional order systems and the advantage of quadratic functions are pointed out. The equilibrium of the generalized proportional Caputo fractional model and its generalized exponential stability are defined, and sufficient conditions for the generalized exponential stability and asymptotic stability of the equilibrium are obtained. As a special case, the stability of the equilibrium of the Caputo fractional model is discussed. Several examples are provided to illustrate our theoretical results and the influence of the type of fractional derivative on the stability behavior of the equilibrium.
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