Solitonic Analysis of the Newly Introduced Three-Dimensional Nonlinear Dynamical Equations in Fluid Mediums DOI Creative Commons

Mohammed N. Alshehri,

Saad Althobaiti, Ali Althobaiti

et al.

Mathematics, Journal Year: 2024, Volume and Issue: 12(20), P. 3205 - 3205

Published: Oct. 13, 2024

The emergence of higher-dimensional evolution equations in dissimilar scientific arenas has been on the rise recently with a vast concentration optical fiber communications, shallow water waves, plasma physics, and fluid dynamics. Therefore, present study deploys certain improved analytical methods to perform solitonic analysis newly introduced three-dimensional nonlinear dynamical (all within current year, 2024), which comprise new (3 + 1) Kairat-II equation, latest Kairat-X Boussinesq type generalized Korteweg–de Vries equation. Certainly, analysis, or rather, admittance diverse solutions by these models interest, will greatly augment findings at hand, mainly deliberate satisfaction Painleve integrability property existence structures using classical Hirota method. Lastly, this is relevant contemporary research many fields, like hyper-elasticity, material science, fibers, optics, propagation waves media, thereby unearthing several concealed features.

Language: Английский

The relationship between colon cancer and immune system: a fractional order modelling approach DOI Open Access
Mehmet Yavuz, Feyza Nur Özdemir,

Kübra Akyüz

et al.

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Journal Year: 2025, Volume and Issue: 27(1), P. 126 - 144

Published: Jan. 20, 2025

In this paper, a new fractional-order differential equation system is developed for colon cancer to address the detailed analysis. model, interaction between tumor cells, macrophage dendritic cells and CD4+ T helper established using Michaelis-Menten kinetics. addition, mathematical analyses such as positivity boundedness are also carried out. Numerical results obtained observe intercellular course of biological interpretations included.

Language: Английский

Citations

0
Evaluating the stability and efficacy of fractal-fractional models in reproductive cancer apoptosis with ABT-737 DOI Creative Commons

Kottakkaran Sooppy Nisar,

M. Sivashankar,

S. Sabarinathan

et al.

Journal of Inequalities and Applications, Journal Year: 2025, Volume and Issue: 2025(1)

Published: Jan. 29, 2025

Language: Английский

Citations

0
Sensitivity analysis and uncertainty quantification of climate change effects on Tanzanian banana crop yield DOI Creative Commons
Sabas Patrick, Silas Mirau, Isambi Sailon Mbalawata

et al.

Results in Control and Optimization, Journal Year: 2025, Volume and Issue: unknown, P. 100519 - 100519

Published: Jan. 1, 2025

Language: Английский

Citations

0
Dynamical analysis of tumor–dystrophin interaction model with impact of age of onset and staging DOI Creative Commons
Ausif Padder, Sania Qureshi,

R. S. Dubey

et al.

Fixed Point Theory and Algorithms for Sciences and Engineering, Journal Year: 2025, Volume and Issue: 2025(1)

Published: March 10, 2025

Language: Английский

Citations

0
Impact of dust storms on plant biomass: Model structure and dynamic study DOI
Shireen Jawad, Shireen Jawad,

D N Das

et al.

Alexandria Engineering Journal, Journal Year: 2025, Volume and Issue: 126, P. 605 - 622

Published: May 8, 2025

Language: Английский

Citations

0
Global mathematical analysis of a patchy epidemic model DOI Creative Commons
Lahcen Boulaasair, Hassane Bouzahir, Mehmet Yavuz

et al.

An International Journal of Optimization and Control Theories & Applications (IJOCTA), Journal Year: 2024, Volume and Issue: 14(4), P. 365 - 377

Published: Oct. 14, 2024

The dissemination of a disease within homogeneous population can typically be modeled and managed in uniform fashion. Conversely, non-homogeneous populations, it is essential to account for variations among subpopulations achieve more precise predictive modeling efficacious intervention strategies. In this study, we introduce examine the comprehensive behavior deterministic two-patch epidemic model alongside its stochastic counterpart assess dynamics between two heterogeneous populations inhabiting distinct regions. First, utilizing specific Lyapunov function, demonstrate that disease-free equilibrium globally asymptotically stable. For model, establish well-posed, meaning possesses unique positive solution with probability one. Subsequently, ascertain conditions necessary ensure total extinction across both Furthermore, explicitly determine threshold condition under which persists areas. Additionally, discuss scenario wherein one region while simultaneously becoming extinct other. article concludes series numerical simulations corroborate theoretical findings.

Language: Английский

Citations

2
Solitonic Analysis of the Newly Introduced Three-Dimensional Nonlinear Dynamical Equations in Fluid Mediums DOI Creative Commons

Mohammed N. Alshehri,

Saad Althobaiti, Ali Althobaiti

et al.

Mathematics, Journal Year: 2024, Volume and Issue: 12(20), P. 3205 - 3205

Published: Oct. 13, 2024

The emergence of higher-dimensional evolution equations in dissimilar scientific arenas has been on the rise recently with a vast concentration optical fiber communications, shallow water waves, plasma physics, and fluid dynamics. Therefore, present study deploys certain improved analytical methods to perform solitonic analysis newly introduced three-dimensional nonlinear dynamical (all within current year, 2024), which comprise new (3 + 1) Kairat-II equation, latest Kairat-X Boussinesq type generalized Korteweg–de Vries equation. Certainly, analysis, or rather, admittance diverse solutions by these models interest, will greatly augment findings at hand, mainly deliberate satisfaction Painleve integrability property existence structures using classical Hirota method. Lastly, this is relevant contemporary research many fields, like hyper-elasticity, material science, fibers, optics, propagation waves media, thereby unearthing several concealed features.

Language: Английский

Citations

2