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Mathematical Modelling and Numerical Simulation with Applications

    Content Posted in 2026

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    A coupled fractional thermistor system demonstrating existence, uniqueness, and simulation results with two-point boundary conditions, Yahia Awad, Angela Khattar, Hussein Fakih, Sami Hammoud, and Karim Amin

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    A mathematical model for managing diphtheria outbreaks in Nigeria via vaccination, enhanced surveillance, effective quarantine, and social distancing measures, Hycienth Ortser Orapine, Nyiutya Cephas Ine, Dekera Jacob Washachi, Ali Audu Baidu, and Lubem Matthew Kwaghkor

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    Analysis and numerical investigation of a breast cancer treatment model incorporating ketogenic diet and immune boosters via optimal control theory, Kunnisai Muniroh, Ummu Habibah, Wuryansari Muharini Kusumawinahyu, and Nur’Izzati Hamdan

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    A novel mathematical model of HIV transmission incorporating the effects of treatment and Pre-Exposure Prophylaxis: sensitivity analysis and numerical simulations, Erick Manuel Delgado Moya

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    Assessing the geomechanical modelling of underground reservoir for CO₂ storage trapping mechanisms, Bonavian Hasiholan, Mohammed Ali Farea, Elhassan Mostafa Abdallah, Sami Abdelrahman M. Yagoub, and Yasir Mukhtar

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    Bifurcation dynamics of a harvested predator-prey model, Hala H. Emam, Mohamed F. Abouelenein, Mona Anis, M. Y. Hamada, F. A. Atia, and H. El-Metwally

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    Bifurcation exploration of ion acoustic solitons formation of a nonlinear beta fractional Kadomtsev-Petviashvili Burger model in plasma state, Mst. Razia Pervin, Alrazi Abdeljabbar, Fahad Sameer Alshammari, Mst. Shekha Khatun, and Harun Or-Roshid

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    Construction and data-driven analysis of a stochastic, individual-based opioid epidemiology network model, Leigh Bennett Pearcy, Owen Queen, Vincent Jodoin, Suzanne Lenhart, and Christopher Strickland

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    Dynamical analysis and optimal control of the Mpox transmission model with stratified susceptibility, Tuhfatul Janan, Fatmawati Fatmawati, Cicik Alfiniyah, Santi Martini, Dipo Aldila, and Agus Hasan

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    Dynamical behavior, extinction and persistence in a stochastic delayed two-strain epidemic model with a generalized Crowley-Martin incidence rate, Amina Allali, Dounia Bentaleb, and Saida Amine

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    Effects of co-rotating cylinders and boundary conditions on heat and mass transfer in a trapezoidal enclosure, Olalekan Adebayo Olayemi, Olalekan Tajudeen Popoola, Leke Thaddeus Oladimeji, Isaac Kayode Adegun, Taofiq Omoniyi Amoloye, Oluwatayo Babatope Ojo, Benjamin Ohida Daniel, and Michael Olabode Ibiwoye

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    Employing effective solution methods for Caputo-based sequential fractional models, Eman A. A. Ziada, Mohamed F. Abouelenein, Hijaz Ahmad, and Monica Botros

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    Exact soliton solutions of the nonlinear time-fractional Schrödinger equation via Atangana–Baleanu and M-truncated operators, Bahadır Kopçasiz, Fatma Nur Kaya Sağlam, and Mehmet Şenol

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    Exact solution structure and dynamic preservation in a nonstandard finite-difference formulation of the SIR model, Ramsha Shafqat and Wutiphol Sintunavarat

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    JPNet: A multi-layered fusion deep learning architecture for the detection and classification of pests in jute crops, Mejbah Ahammad, Md. Ashraful Babu, Muhammad Sajjad Hossain, Md. Fayz-Al-Asad, Nadim Ahmed, Md. Khaled Hossain, Md. Mortuza Ahmmed, M. Mostafizur Rahman, and Mufti Mahmud

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    Markov-modulated queueing network for mobile traffic aggregation with threshold-controlled buffers, Anton A. Esin and Elmira Yu. Kalimulina

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    Mathematical analysis and numerical simulation of a fractional-order SIR-SI model for malaria transmission dynamics, Gassan A. M. O. Farah, Abdulaziz Y. A. Mukhtar, and Kailash C. Patidar

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    Measuring market risk through Entropic VaR, Dragomir Nedeltchev and Tsvetelin Zaevski

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    Modeling and simulation of solar battery charge controller using adaptive particle swarm optimization MPPT algorithm, Mustafa Sacid Endiz and Göksel Gökkus

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    Modelling of dust devil flow dynamics: effects of the sharpness parameter on velocity and pressure, Deepanshu Kumar and Hossein Jafari

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    Neural network-based analysis of heroin epidemic models with modified fractional operators, M. A. El-Shorbagy, Sedat Pak, Mati Ur Rahman, and Hossam A. Nabwey

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    Numerical method for strongly variable-density flows at low Mach number: flame-sheet regularisation and a mass-flux immersed boundary method, Matheus P. Severino, Fernando F. Fachini, Elmer M. Gennaro, Daniel Rodríguez, and Leandro F. Souza

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    Numerical simulations and Hyers-Ulam stability of a novel nonlocal anthropogenic cutaneous leishmaniasis mathematical model, Khalid Fanoukh Al Oweidi, Zakirullah -, Kamal Shah, and Thabet Abdeljawad

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    Numerical solution of the HJB equation using a hybrid Bernstein–fractional Chebyshev spectral collocation method, Alvian Alif Hidayatullah, Subchan Subchan, Sena Safarina, Tahiyatul Asfihani, and Dilshod Mashrabovich Akhmedov

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    Optimal control and bifurcation analysis of a predator–prey model with self-limiting growth and predator disease, Dipo Aldila, Muhammad Akmal Fasya, Bevina D. Handari, Chidozie Williams Chukwu, and Olumuyiwa James Peter

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    Optimal control of stochastic systems: a numerical study of the stochastic linear quadratic regulator framework, Gülşen Orucova Büyüköz, Yaprak Güldoğan Dericioğlu, and Tuğçem Partal

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    Optimal control strategies for infectious diseases: a numerical simulation approach, M. Abu Salek, Jannatun Nayeem, Romana Yesmin, M. Haider Ali Biswas, and M. Humayun Kabir

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    Pattern formation and diffusion-driven instability of a modified Lengyel-Epstein model, Müge Meyvacı, Hüseyin Merdan, and Yafia Radouane

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    Qualitative analysis of solutions to a general class of nonlinear difference equations with applications, Osama Moaaz, Mohamed F. Abouelenein, and Mona Anis

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    Stochastic analysis of epidemic size and peak infection in an SVIR model with imperfect vaccine and external source of infection, María Gamboa Pérez

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    Thermo-entropic analysis of unsteady MHD nanofluid Couette flow: A classical spectral approach with an exploratory quantum linear-solver application, Serai Israel Mosala, Oluwole Daniel Makinde, and Azwinndini Muronga

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    Tumor–immune dynamics with memory and time delay: a fractional-order model with CTLA-4 regulation, Mutaz Mohammad, Mohyeedden Sweidan, Alexander Trounev, and Fathalla Rihan

 
 
 

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