A sustainable method for analyzing and studying the fractional-order panic spreading caused by the COVID-19 pandemic

Partial Differential Equations in Applied Mathematics, Journal Year: 2025, Volume and Issue: 13, P. 101047 - 101047

Published: Jan. 5, 2025

Language: Английский

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Dynamic analysis of additional food provided non-smooth pest-natural enemy models based on nonlinear threshold control

Journal of Applied Mathematics and Computing, Journal Year: 2025, Volume and Issue: unknown

Published: Jan. 2, 2025

Language: Английский

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Autoregressive exogenous neural structures for synthetic datasets of olive disease control model with fractional Grünwald-Letnikov solver

Computers in Biology and Medicine, Journal Year: 2025, Volume and Issue: 187, P. 109707 - 109707

Published: Feb. 5, 2025

Language: Английский

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Stability, Hopf bifurcation and control of a fractional order delay cervical cancer model with HPV infection

Computer Methods in Biomechanics & Biomedical Engineering, Journal Year: 2025, Volume and Issue: unknown, P. 1 - 25

Published: Feb. 8, 2025

This paper presents a basic model for the therapeutic effect of two drugs on patients with early cervical cancer. Two cases are considered: constant control and optimal control. For case one, system is proved to have unique non-negativity solution if initial values positive; then sufficient conditions existence stability equilibriums derived; Hopf bifurcation also considered. two, by using Pontryagin's Maximum Principle, we get solution. Some examples numerical simulations presented. Discussions conclusions listed at end.

Language: Английский

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Fractional operator-based mathematical model for hydrological cycle analysis with machine learning integration

Modeling Earth Systems and Environment, Journal Year: 2025, Volume and Issue: 11(3)

Published: March 12, 2025

Language: Английский

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Simulation of the fractional HIV/AIDS epidemic model using a novel predictor–corrector technique based on singular and non-singular kernels

Journal of Applied Mathematics and Computing, Journal Year: 2025, Volume and Issue: unknown

Published: March 12, 2025

Language: Английский

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Dynamics of Ebola virus transmission with vaccination control using Caputo-Fabrizio Fractional-order derivative analysis

Modeling Earth Systems and Environment, Journal Year: 2025, Volume and Issue: 11(3)

Published: March 14, 2025

Language: Английский

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Fractional modeling and numerical investigations of COVID-19 epidemic model with non-singular fractional derivatives: a case study

Scientific Reports, Journal Year: 2025, Volume and Issue: 15(1)

Published: April 17, 2025

This paper focuses on the pivotal challenge of representing fractional dynamics in context computational biology, presenting an innovative approach. We utilize a non-singular kernel-type derivative to reformulate fractional-order epidemic model. Our research several key aspects. First, we determine reproductive number, represented as [Formula: see text], which is crucial for predicting and understanding disease being studied. To assess stability system, employ Routh-Hurwitz criteria. Additionally, Lasale invariant principle gain insights into dynamical behavior equilibria. In order validate our model's accuracy, conduct data fitting exercises subsequently perform numerical experiments corroborate theoretical findings. Furthermore, leverage Banach Leary Schauder alternative theorem establish existence solutions with unique characteristics, enhancing robustness facilitate practical implementation, Toufit-Atangana scheme simulations proposed findings show that model performs well across entire density spectrum. Specifically, note decreases higher orders but improves lower derivatives.

Language: Английский

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The Θ-Hilfer fractional order model for the optimal control of the dynamics of Hepatitis B virus transmission

Results in Control and Optimization, Journal Year: 2024, Volume and Issue: unknown, P. 100496 - 100496

Published: Nov. 1, 2024

Language: Английский

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The g-generalized Mittag-Leffler (p,s,k)-function

Alexandria Engineering Journal, Journal Year: 2024, Volume and Issue: 113, P. 565 - 572

Published: Nov. 26, 2024

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