Ali Raza^1,*, Asad Ullah², Eugénio M. Rocha¹, Dumitru Baleanu³, Hala H. Taha⁴, Emad Fadhal^5,*

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 >

Benjamin Wacker¹, Jan Christian Schlüter^2,3,*

CMES-Computer Modeling in Engineering & Sciences, Vol.144, No.2, pp. 2191-2229, 2025, DOI:10.32604/cmes.2025.067397 - 31 August 2025

Abstract In this work, we re-investigate a classical mathematical model of untreated HIV infection suggested by Kirschner and introduce a novel non-standard finite-difference method for its numerical solution. As our first contribution, we establish non-negativity, boundedness of some solution components, existence globally in time, and uniqueness on a time interval for an arbitrary for the time-continuous problem which extends known results of Kirschner’s model in the literature. As our second analytical result, we establish different equilibrium states and examine their stability properties in the time-continuous setting or discuss some numerical tools to evaluate this question. Our More >

Qun Ma¹, Zhimin Liu¹, Quanlai Zhou¹, Wei Liang^1,*, Jing Wu^2,*

Phyton-International Journal of Experimental Botany, Vol.94, No.7, pp. 2183-2194, 2025, DOI:10.32604/phyton.2025.067807 - 31 July 2025

Abstract The Leymus chinensis grassland is one of the most widely distributed associations in the warm temperate grassland and due to overgrazing in recent years, it has experienced varying degrees of degradation. Vegetative regeneration via bud banks serves as the primary way of vegetation reproduction in the L. chinensis grassland ecosystem. However, the role of the bud bank in the vegetation regeneration of grazing grassland remains unclear. Based on the relationship between the under-ground bud bank and above-ground vegetation of L. chinensis grassland under different grazing stages, this study aimed to explore whether the grazing grassland could self-recover through… More >

Weiqiang Jin^1,2, Ningwei Wang¹, Lei Zhang³, Xingwu Tian¹, Bohang Shi¹, Biao Zhao^1,*

CMC-Computers, Materials & Continua, Vol.84, No.3, pp. 3961-4018, 2025, DOI:10.32604/cmc.2025.067857 - 30 July 2025

Abstract With the growing adoption of Artifical Intelligence (AI), AI-driven autonomous techniques and automation systems have seen widespread applications, become pivotal in enhancing operational efficiency and task automation across various aspects of human living. Over the past decade, AI-driven automation has advanced from simple rule-based systems to sophisticated multi-agent hybrid architectures. These technologies not only increase productivity but also enable more scalable and adaptable solutions, proving particularly beneficial in industries such as healthcare, finance, and customer service. However, the absence of a unified review for categorization, benchmarking, and ethical risk assessment hinders the AI-driven automation progress.… More >

Kamran^1,*, Farman Ali Shah¹, Kallekh Afef ², J. F. Gómez-Aguilar ³, Salma Aljawi⁴, Ioan-Lucian Popa^5,6,*

CMES-Computer Modeling in Engineering & Sciences, Vol.143, No.3, pp. 3433-3462, 2025, DOI:10.32604/cmes.2025.064815 - 30 June 2025

Abstract In this article, we develop the Laplace transform (LT) based Chebyshev spectral collocation method (CSCM) to approximate the time fractional advection-diffusion equation, incorporating the Atangana-Baleanu Caputo (ABC) derivative. The advection-diffusion equation, which governs the transport of mass, heat, or energy through combined advection and diffusion processes, is central to modeling physical systems with nonlocal behavior. Our numerical scheme employs the LT to transform the time-dependent time-fractional PDEs into a time-independent PDE in LT domain, eliminating the need for classical time-stepping methods that often suffer from stability constraints. For spatial discretization, we employ the CSCM, where More >

Umar Shafique¹, Ali Raza^2,7,*, Dumitru Baleanu³, Khadija Nasir⁴, Muhammad Naveed⁵, Abu Bakar Siddique¹, Emad Fadhal^6,*

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 >

Weiping Ouyang^1,2, Luoyi Huang^3,*, Jinghua Liu^3,*, Hongzhong Zhang^1,2

Energy Engineering, Vol.122, No.4, pp. 1491-1509, 2025, DOI:10.32604/ee.2025.061171 - 31 March 2025

Abstract Hydraulic fracturing is a crucial technique for efficient development of coal reservoirs. Coal rocks typically contain a high density of natural fractures, which serve as conduits for fracturing fluid. Upon injection, the fluid infiltrates these natural fractures and leaks out, resulting in complex fracture morphology. The prediction of hydraulic fracture network propagation for coal reservoirs has important practical significance for evaluating hydraulic fracturing. This study proposes a novel inversion method for predicting fracture networks in coal reservoirs, explicitly considering the distribution of natural fractures. The method incorporates three distinct natural fracture opening modes and employs… More >

Xiaoyan Lu^1,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.29, No.3, pp. 1-1, 2024, DOI:10.32604/icces.2024.012507

Abstract Ferroelectric materials usually experience various phase under external temperature, electric and stress fields. Unique properties such as piezoelectricity, dielectricity, polarization reversal, and phase transitions are widely used in various electronic devices. Particularly, the phase and domain structures, ferroelastic switching behaviors often play a crucial role in determining their dielectric and piezoelectric properties. Here, we report some abnormal behaviors in ferroelectric thin films and single crystals, from which, we build the Landau theoretical model for relaxor ferroelectric single crystals. Using this model, we studied the phase coexistence and the corresponding physical properties. Using the results, we More >

Yirui Li¹, Dongliang Xiao^1,3,*, Haoyong Chen¹, Weijun Cai¹, Josue Campos do Prado²

Energy Engineering, Vol.121, No.8, pp. 2093-2127, 2024, DOI:10.32604/ee.2024.049232 - 19 July 2024

Abstract Currently, both regulated and deregulated power trading exist in China’s power system, which has caused imbalanced funds in the electricity market. In this paper, a simulation analysis of the electricity market with wind energy resources is conducted, and the calculation methods of unbalanced funds are investigated systematically. In detail, the calculation formulas of unbalanced funds are illustrated based on their definition, and a two-track electricity market clearing model is established. Firstly, the concept of the dual-track system is explained, and the specific calculation formulas of various types of unbalanced funds are provided. Next, considering the More >

Oncology Research Editorial Office

Oncology Research, Vol.32, No.8, pp. 1385-1385, 2024, DOI:10.32604/or.2024.055037 - 17 July 2024

Abstract This article has no abstract. More >