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Browsing by Author "Alharthi, Mohammed Shaaf"

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    Citation - WoS: 12
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    Dynamical Behavior of a Stochastic Highly Pathogenic Avian Influenza a (Hpai) Epidemic Model Via Piecewise Fractional Differential Technique
    (Amer inst Mathematical Sciences-aims, 2022) Rashid, Saima; Jarad, Fahd; Alharthi, Mohammed Shaaf; Al-Qureshi, Maysaa; 234808; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In this research, we investigate the dynamical behaviour of a HPAI epidemic system featuring a half-saturated transmission rate and significant evidence of crossover behaviours. Although simulations have proposed numerous mathematical frameworks to portray these behaviours, it is evident that their mathematical representations cannot adequately describe the crossover behaviours, particularly the change from deterministic reboots to stochastics. Furthermore, we show that the stochastic process has a threshold number R-0(S) that can predict pathogen extermination and mean persistence. Furthermore, we show that if R-0(S) > 1, an ergodic stationary distribution corresponds to the stochastic version of the aforementioned system by constructing a sequence of appropriate Lyapunov candidates. The fractional framework is expanded to the piecewise approach, and a simulation tool for interactive representation is provided. We present several illustrated findings for the system that demonstrate the utility of the piecewise estimation technique. The acquired findings offer no uncertainty that this notion is a revolutionary viewpoint that will assist mankind in identifying nature.
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    Citation - WoS: 3
    Citation - Scopus: 3
    Identification of Numerical Solutions of a Fractal-Fractional Divorce Epidemic Model of Nonlinear Systems Via Anti-Divorce Counseling
    (Amer inst Mathematical Sciences-aims, 2023) Sultana, Sobia; Karim, Shazia; Rashid, Saima; Jarad, Fahd; Alharthi, Mohammed Shaaf; Al-Qurashi, Maysaa; 234808; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    Divorce is the dissolution of two parties' marriage. Separation and divorce are the major obstacles to the viability of a stable family dynamic. In this research, we employ a basic incidence functional as the source of interpersonal disagreement to build an epidemiological framework of divorce outbreaks via the fractal-fractional technique in the Atangana-Baleanu perspective. The research utilized Lyapunov processes to determine whether the two steady states (divorce-free and endemic steady state point) are globally asymptotically robust. Local stability and eigenvalues methodologies were used to examine local stability. The next-generation matrix approach also provides the fundamental reproducing quantity over bar R0. The existence and stability of the equilibrium point can be assessed using R over bar 0, demonstrating that counseling services for the separated are beneficial to the individuals' well-being and, as a result, the population. The fractal-fractional Atangana-Baleanu operator is applied to the divorce epidemic model, and an innovative technique is used to illustrate its mathematical interpretation. We compare the fractal-fractional model to a framework accommodating different fractal-dimensions and fractional-orders and deduce that the fractal-fractional data fits the stabilized marriages significantly and cannot break again.