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  • Open Access

    ARTICLE

    Demographic Heterogeneities in a Stochastic Chikungunya Virus Model with Poisson Random Measures and Near-Optimal Control under Markovian Regime Switching

    Maysaa Al-Qurashi1, Ayesha Siddiqa2, Shazia Karim3, Yu-Ming Chu4,5,*, Saima Rashid2,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.145, No.2, pp. 2057-2129, 2025, DOI:10.32604/cmes.2025.071629 - 26 November 2025

    Abstract Chikungunya is a mosquito-borne viral infection caused by the chikungunya virus (CHIKV). It is characterized by acute onset of high fever, severe polyarthralgia, myalgia, headache, and maculopapular rash. The virus is rapidly spreading and may establish in new regions where competent mosquito vectors are present. This research analyzes the regulatory dynamics of a stochastic differential equation (SDE) model describing the transmission of the CHIKV, incorporating seasonal variations, immunization efforts, and environmental fluctuations modeled through Poisson random measure noise under demographic heterogeneity. The model guarantees the existence of a global positive solution and demonstrates periodic dynamics… More >

  • Open Access

    ARTICLE

    Mathematical Modeling and Thermal Analysis of Salt Gradient Solar Pond

    Mahesh Kumar1, Rahool Rai2,*, Sudhakar Kumarasamy2,3,4,*

    Frontiers in Heat and Mass Transfer, Vol.23, No.5, pp. 1477-1493, 2025, DOI:10.32604/fhmt.2025.067933 - 31 October 2025

    Abstract The increasing demand due to development and advancement in every field of life has caused the depletion of fossil fuels. This depleting fossil fuel reserve throughout the world has enforced to get energy from alternative/renewable sources. One of the economical ways to get energy is through the utilization of solar ponds. In this study, a mathematical model of a salt gradient solar pond under the Islamabad climatic conditions has been analyzed for the first time. The model uses a one-dimensional finite difference explicit method for optimization of different zone thicknesses. The model depicts that NCZ More >

  • Open Access

    ARTICLE

    Two-Dimensional Mathematical Modeling of Gas Hydrate Dissociation with a Nonlinear Forchheimer-Type Filtration Law

    Ahmed Bakeer1, Grigory Kazakevich2, Viktoriia Podryga3,*, Yury Poveshchenko3, Parvin Rahimly3

    Frontiers in Heat and Mass Transfer, Vol.23, No.5, pp. 1575-1593, 2025, DOI:10.32604/fhmt.2025.067097 - 31 October 2025

    Abstract The work considers the problem of gas hydrate dissociation in a porous medium using the two-term Forchheimer law, corresponding to high flow rates of reservoir fluids. Such rates can arise during the decomposition of gas hydrates, since a large amount of gas is released. Intensive emissions of gases from the earth’s interior are observed on the ocean floor. They are also associated with a large number of subvertical geological structures under the ocean floor, coming to the surface in the form of local ring funnels (pockmarks). Many similar objects have also been found on land.… More >

  • Open Access

    ARTICLE

    Optimization of the Working Cycle Parameters of a Syngas Piston Engine Based on Mathematical Modeling

    Leonid Plotnikov1,*, Danil Davydov1,2, Dmitry Krasilnikov1,2, Alexander Ryzhkov2

    Energy Engineering, Vol.122, No.11, pp. 4621-4633, 2025, DOI:10.32604/ee.2025.070713 - 27 October 2025

    Abstract Improving the specific, technical, economic, and environmental characteristics of piston engines (ICE) operating on alternative gaseous fuels is a pressing task for the energy and mechanical engineering industries. The aim of the study was to optimize the parameters of the ICE working cycle after replacing the base fuel (propane-butane blend) with syngas from wood sawdust to improve its technical and economic performance based on mathematical modeling. The modeling results were verified through experimental studies (differences for key parameters did not exceed 4.0%). The object of the study was an electric generator based on a single-cylinder… More >

  • Open Access

    ARTICLE

    Investigating the Role of Antimalarial Treatment and Mosquito Nets in Malaria Transmission and Control through Mathematical Modeling

    Azhar Iqbal Kashif Butt1,*, Tariq Ismaeel2,*, Sara Khan2, Muhammad Imran3, Waheed Ahmad2, Ismail Abdulrashid4, Muhammad Sajid Riaz5

    CMES-Computer Modeling in Engineering & Sciences, Vol.144, No.3, pp. 3463-3492, 2025, DOI:10.32604/cmes.2025.069277 - 30 September 2025

    Abstract Malaria is a significant global health challenge. This devastating disease continues to affect millions, especially in tropical regions. It is caused by Plasmodium parasites transmitted by female Anopheles mosquitoes. This study introduces a nonlinear mathematical model for examining the transmission dynamics of malaria, incorporating both human and mosquito populations. We aim to identify the key factors driving the endemic spread of malaria, determine feasible solutions, and provide insights that lead to the development of effective prevention and management strategies. We derive the basic reproductive number employing the next-generation matrix approach and identify the disease-free and… More >

  • Open Access

    ARTICLE

    Feasibility of Using Optimal Control Theory and Training-Performance Model to Design Optimal Training Programs for Athletes

    Yi Yang, Che-Yu Lin*

    CMES-Computer Modeling in Engineering & Sciences, Vol.143, No.3, pp. 2767-2783, 2025, DOI:10.32604/cmes.2025.064459 - 30 June 2025

    Abstract In order to help athletes optimize their performances in competitions while prevent overtraining and the risk of overuse injuries, it is important to develop science-based strategies for optimally designing training programs. The purpose of the present study is to develop a novel method by the combined use of optimal control theory and a training-performance model for designing optimal training programs, with the hope of helping athletes achieve the best performance exactly on the competition day while properly manage training load during the training course for preventing overtraining. The training-performance model used in the proposed optimal… 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

    Mathematical modeling of various CdTe/CISSe based hetero-structure photovoltaic cells incorporating Si and CdS: using Scaps 1D simulator

    N. A. Jahan*, S. I. Parash, Md. Asif Hossain, T. Chowdhury

    Chalcogenide Letters, Vol.21, No.8, pp. 675-686, 2024, DOI:10.15251/CL.2024.218.675

    Abstract In this study, the primary focus was on enhancing the performance of Photovoltaic devices by modifying the ETL and HTL transport layers. We conducted a comprehensive analysis of efficiency and fill factor variations resulting from adjustments in key device parameters, notably the active layer` thickness. The HTL layer employed materials such as CdTe (Cadmium telluride) and CISSe (Copper indium sulfur selenide), while the ETL layer utilized CdS (Cadmium sulfide), ZnO (Zinc oxide), SnOx (Stannous oxalte), SnO2 (Tin oxide), and TiO2 (Titanium dioxide). Additionally, Silicon (Si) was incorporated into our structure. Our highest efficiency recorded was 27.38%, More >

  • Open Access

    ARTICLE

    Intelligent PID Control Method for Quadrotor UAV with Serial Humanoid Intelligence

    Linlin Zhang, Lvzhao Bai, Jianshu Liang, Zhiying Qin*, Yuejing Zhao

    Computer Systems Science and Engineering, Vol.48, No.6, pp. 1557-1579, 2024, DOI:10.32604/csse.2024.054237 - 22 November 2024

    Abstract Quadrotor unmanned aerial vehicles (UAVs) are widely used in inspection, agriculture, express delivery, and other fields owing to their low cost and high flexibility. However, the current UAV control system has shortcomings such as poor control accuracy and weak anti-interference ability to a certain extent. To address the control problem of a four-rotor UAV, we propose a method to enhance the controller’s accuracy by considering underactuated dynamics, nonlinearities, and external disturbances. A mathematical model is constructed based on the flight principles of the quadrotor UAV. We develop a control algorithm that combines humanoid intelligence with… More >

  • Open Access

    ARTICLE

    Research on Maneuver Decision-Making of Multi-Agent Adversarial Game in a Random Interference Environment

    Shiguang Hu1,2, Le Ru1,2,*, Bo Lu1,2, Zhenhua Wang3, Xiaolin Zhao1,2, Wenfei Wang1,2, Hailong Xi1,2

    CMC-Computers, Materials & Continua, Vol.81, No.1, pp. 1879-1903, 2024, DOI:10.32604/cmc.2024.056110 - 15 October 2024

    Abstract The strategy evolution process of game players is highly uncertain due to random emergent situations and other external disturbances. This paper investigates the issue of strategy interaction and behavioral decision-making among game players in simulated confrontation scenarios within a random interference environment. It considers the possible risks that random disturbances may pose to the autonomous decision-making of game players, as well as the impact of participants’ manipulative behaviors on the state changes of the players. A nonlinear mathematical model is established to describe the strategy decision-making process of the participants in this scenario. Subsequently, the… More >

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