Effect of family and public health education in drug transmission: an epidemiological model with memory

Hamou, Abdelouahed Alla; Azroul, E.; Diki, G.; Guedda, M.

doi:10.1007/s40808-022-01662-6

Cited by 4 publications

(1 citation statement)

References 37 publications

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“…Additionally, Ref. 25 by Alla Hamou et al. highlights the value of the Caputo derivative in epidemiological modeling, particularly in capturing memory effects and improving our grasp of drug transmission dynamics.…”

Section: Introductionmentioning

confidence: 99%

Exploring the interplay between memory effects and vesicle dynamics: A five‐dimensional analysis using rigid sphere models and mapping techniques

Azroul,

Diki,

Guedda

2023

Stud Appl Math

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The memory effect in vesicle dynamics refers to the persistence of shape changes in lipid vesicles, a type of lipid bilayer membrane that mimics some features of real cells, particularly red blood cells (RBCs). To study this effect, a fractional rigid sphere model in five dimensions has been investigated, which maps the dynamics of a vesicle using the Caputo operator. This model provides new insights into the mechanisms behind the memory effect as well as the emergence of two other motions, namely, tank‐treading with underdamped and tank‐treading with overdamped vesicle oscillations, in addition to the tank‐treading mode where the vesicle rotates about its axis while maintaining a constant shape. Overall, this work represents a significant advance in our understanding of vesicle dynamics and has important implications for understanding the behavior of RBCs.

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Section: Introductionmentioning

confidence: 99%

Exploring the interplay between memory effects and vesicle dynamics: A five‐dimensional analysis using rigid sphere models and mapping techniques

Azroul,

Diki,

Guedda

2023

Stud Appl Math

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Analytical investigation of vesicle dynamics via the modified Riemann–Liouville fractional derivative: Mittag-Leffler function solution and comparative analysis with Caputo’s derivative

Azroul,

Diki

2024

Chaos: An Interdisciplinary Journal of Nonlinear Science

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The solution of fractional differential equations is a significant focus of current research, given their prevalence in various fields of application. This paper introduces an innovative exploration of vesicle dynamics using Jumarie’s modified Riemann–Liouville fractional derivative within a five-dimensional fractional rigid sphere model. The study reveals an exact solution through the Mittag-Leffler function, providing a deep understanding of intricate vesicle dynamics, including alternative motions, such as tank-treading with over-damped and under-damped vesicle oscillations, respectively, TT-OD and TT-UD. A comparative analysis with Caputo’s derivative emphasizes the effectiveness of these fractional derivatives, contributing not only to theoretical insights but also practical implications in applied mathematics and biophysical systems. The findings advance our understanding of complex vesicle behaviors, particularly in mimicking real cell-like behaviors, and pave the way for further research and applications in the field.

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Unravelling the dynamics of Lassa fever transmission with nosocomial infections via non-fractional and fractional mathematical models

Abidemi,

Owolabi

2024

Eur. Phys. J. Plus

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Effect of family and public health education in drug transmission: an epidemiological model with memory

Cited by 4 publications

References 37 publications

Exploring the interplay between memory effects and vesicle dynamics: A five‐dimensional analysis using rigid sphere models and mapping techniques

Exploring the interplay between memory effects and vesicle dynamics: A five‐dimensional analysis using rigid sphere models and mapping techniques

Analytical investigation of vesicle dynamics via the modified Riemann–Liouville fractional derivative: Mittag-Leffler function solution and comparative analysis with Caputo’s derivative

Unravelling the dynamics of Lassa fever transmission with nosocomial infections via non-fractional and fractional mathematical models

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