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  • Open Access

    ARTICLE

    Computational Solutions of a Delay-Driven Stochastic Model for Conjunctivitis Spread

    Ali Raza1,*, Asad Ullah2, Eugénio M. Rocha1, Dumitru Baleanu3, Hala H. Taha4, Emad Fadhal5,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.144, No.3, pp. 3433-3461, 2025, DOI:10.32604/cmes.2025.069655 - 30 September 2025

    Abstract This study investigates the transmission dynamics of conjunctivitis using stochastic delay differential equations (SDDEs). A delayed stochastic model is formulated by dividing the population into five distinct compartments: susceptible, exposed, infected, environmental irritants, and recovered individuals. The model undergoes thorough analytical examination, addressing key dynamical properties including positivity, boundedness, existence, and uniqueness of solutions. Local and global stability around the equilibrium points is studied with respect to the basic reproduction number. The existence of a unique global positive solution for the stochastic delayed model is established. In addition, a stochastic nonstandard finite difference scheme is More >

  • Open Access

    ARTICLE

    Mathematical Modeling of Leukemia within Stochastic Fractional Delay Differential Equations

    Ali Raza1,2,*, Feliz Minhós2,3,*, Umar Shafique4, Muhammad Mohsin5

    CMES-Computer Modeling in Engineering & Sciences, Vol.143, No.3, pp. 3411-3431, 2025, DOI:10.32604/cmes.2025.060855 - 30 June 2025

    Abstract In 2022, Leukemia is the 13th most common diagnosis of cancer globally as per the source of the International Agency for Research on Cancer (IARC). Leukemia is still a threat and challenge for all regions because of 46.6% infection in Asia, and 22.1% and 14.7% infection rates in Europe and North America, respectively. To study the dynamics of Leukemia, the population of cells has been divided into three subpopulations of cells susceptible cells, infected cells, and immune cells. To investigate the memory effects and uncertainty in disease progression, leukemia modeling is developed using stochastic fractional… More >

  • Open Access

    ARTICLE

    Computational Modeling of Streptococcus Suis Dynamics via Stochastic Delay Differential Equations

    Umar Shafique1, Ali Raza2,7,*, Dumitru Baleanu3, Khadija Nasir4, Muhammad Naveed5, Abu Bakar Siddique1, Emad Fadhal6,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.143, No.1, pp. 449-476, 2025, DOI:10.32604/cmes.2025.061635 - 11 April 2025

    Abstract Streptococcus suis (S. suis) is a major disease impacting pig farming globally. It can also be transferred to humans by eating raw pork. A comprehensive study was recently carried out to determine the indices through multiple geographic regions in China. Methods: The well-posed theorems were employed to conduct a thorough analysis of the model’s feasible features, including positivity, boundedness equilibria, reproduction number, and parameter sensitivity. Stochastic Euler, Runge Kutta, and Euler Maruyama are some of the numerical techniques used to replicate the behavior of the streptococcus suis infection in the pig population. However, the dynamic… More >

  • Open Access

    Retraction: Comparison of Structural Probabilistic and Non-Probabilistic Reliability Computational Methods under Big Data Condition

    Yongfeng Fang1,3, Kong Fah Tee2,*

    Structural Durability & Health Monitoring, Vol.19, No.3, pp. 771-771, 2025, DOI:10.32604/sdhm.2024.061036 - 03 April 2025

    Abstract This article has no abstract. More >

  • Open Access

    REVIEW

    Plates, Beams and Shells Reinforced by CNTs or GPLs: A Review on Their Structural Behavior and Computational Methods

    Mohammad Javad Bayat1, Amin Kalhori2, Kamran Asemi1,*, Masoud Babaei3

    CMES-Computer Modeling in Engineering & Sciences, Vol.142, No.2, pp. 1351-1458, 2025, DOI:10.32604/cmes.2025.060222 - 27 January 2025

    Abstract Since the initial observation of carbon nanotubes (CNTs) and graphene platelets (GPLs) in the 1990 and 2000s, the demand for high-performance structural applications and multifunctional materials has driven significant interest in composite structures reinforced with GPLs and CNTs. Incorporating these nanofillers into matrix materials markedly enhances the mechanical properties of the structures. To further improve efficiency and functionality, functionally graded (FG) distributions of CNTs and GPLs have been proposed. This study presents an extensive review of computational approaches developed to predict the global behavior of composite structural components enhanced with CNT and GPL nanofillers. The… More >

  • Open Access

    REVIEW

    Data-Driven Healthcare: The Role of Computational Methods in Medical Innovation

    Hariharasakthisudhan Ponnarengan1,*, Sivakumar Rajendran2, Vikas Khalkar3, Gunapriya Devarajan4, Logesh Kamaraj5

    CMES-Computer Modeling in Engineering & Sciences, Vol.142, No.1, pp. 1-48, 2025, DOI:10.32604/cmes.2024.056605 - 17 December 2024

    Abstract The purpose of this review is to explore the intersection of computational engineering and biomedical science, highlighting the transformative potential this convergence holds for innovation in healthcare and medical research. The review covers key topics such as computational modelling, bioinformatics, machine learning in medical diagnostics, and the integration of wearable technology for real-time health monitoring. Major findings indicate that computational models have significantly enhanced the understanding of complex biological systems, while machine learning algorithms have improved the accuracy of disease prediction and diagnosis. The synergy between bioinformatics and computational techniques has led to breakthroughs in More >

  • Open Access

    ARTICLE

    Numerical Analysis of Bacterial Meningitis Stochastic Delayed Epidemic Model through Computational Methods

    Umar Shafique1,*, Mohamed Mahyoub Al-Shamiri2, Ali Raza3, Emad Fadhal4,*, Muhammad Rafiq5,6, Nauman Ahmed5,7

    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.1, pp. 311-329, 2024, DOI:10.32604/cmes.2024.052383 - 20 August 2024

    Abstract Based on the World Health Organization (WHO), Meningitis is a severe infection of the meninges, the membranes covering the brain and spinal cord. It is a devastating disease and remains a significant public health challenge. This study investigates a bacterial meningitis model through deterministic and stochastic versions. Four-compartment population dynamics explain the concept, particularly the susceptible population, carrier, infected, and recovered. The model predicts the nonnegative equilibrium points and reproduction number, i.e., the Meningitis-Free Equilibrium (MFE), and Meningitis-Existing Equilibrium (MEE). For the stochastic version of the existing deterministic model, the two methodologies studied are transition… More >

  • Open Access

    ARTICLE

    An Efficient Computational Method for Differential Equations of Fractional Type

    Mustafa Turkyilmazoglu1,2,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.133, No.1, pp. 47-65, 2022, DOI:10.32604/cmes.2022.020781 - 18 July 2022

    Abstract An effective solution method of fractional ordinary and partial differential equations is proposed in the present paper. The standard Adomian Decomposition Method (ADM) is modified via introducing a functional term involving both a variable and a parameter. A residual approach is then adopted to identify the optimal value of the embedded parameter within the frame of L2 norm. Numerical experiments on sample problems of open literature prove that the presented algorithm is quite accurate, more advantageous over the traditional ADM and straightforward to implement for the fractional ordinary and partial differential equations of the recent focus More >

  • Open Access

    ARTICLE

    Comparison of Structural Probabilistic and Non-Probabilistic Reliability Computational Methods under Big Data Condition

    Yongfeng Fang1,3, Kong Fah Tee2,*

    Structural Durability & Health Monitoring, Vol.16, No.2, pp. 129-143, 2022, DOI:10.32604/sdhm.2022.020301 - 25 April 2022

    Abstract In this article, structural probabilistic and non-probabilistic reliability have been evaluated and compared under big data condition. Firstly, the big data is collected via structural monitoring and analysis. Big data is classified into different types according to the regularities of the distribution of data. The different stresses which have been subjected by the structure are used in this paper. Secondly, the structural interval reliability and probabilistic prediction models are established by using the stress-strength interference theory under big data of random loads after the stresses and structural strength are comprehensively considered. Structural reliability is computed More >

  • Open Access

    ARTICLE

    Bio-Inspired Computational Methods for the Polio Virus Epidemic Model

    Fatimah Abdulrahman Alrawajeh1, F. M. Allehiany2, Ali Raza3,*, Shaimaa A. M. Abdelmohsen4, Tahir Nawaz Cheema5, Muhammad Rafiq6, Muhammad Mohsin7

    CMC-Computers, Materials & Continua, Vol.72, No.2, pp. 2357-2374, 2022, DOI:10.32604/cmc.2022.024604 - 29 March 2022

    Abstract In 2021, most of the developing countries are fighting polio, and parents are concerned with the disabling of their children. Poliovirus transmits from person to person, which can infect the spinal cord, and paralyzes the parts of the body within a matter of hours. According to the World Health Organization (WHO), 18 million currently healthy people could have been paralyzed by the virus during 1988–2020. Almost all countries but Pakistan, Afghanistan, and a few more have been declared polio-free. The mathematical modeling of poliovirus is studied in the population by categorizing it as susceptible individuals… More >

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