Results 31 to 40 of about 83 (83)

Mathematical Model Dynamics of Drug-Resistant Tuberculosis and Its Optimal Control Analysis

Journal of Applied Mathematics
This study presents a mathematical model to understand and control the spread of drug-resistant tuberculosis (DR-TB). A system of nonlinear ordinary differential equations is developed to represent the transmission dynamics, incorporating prevention and ...
Mohammed Hasen Galete, Mohammed Yiha Dawed, Legesse Lemecha Obsu   +2 more
doaj   +1 more source

A sustainable method for analyzing and studying the fractional-order panic spreading caused by the COVID-19 pandemic

Partial Differential Equations in Applied Mathematics
This study gives us an expression of non-integer order in mathematics via fractional Caputo operator just for the broadcast development of different emotions under emergencies due to any situation or some disease.
Muhammad Farman, Evern Hincal, Parvaiz Ahmad Naik, Ali Hasan, Aceng Sambas, Kottakkaran Sooppy Nisar   +5 more
doaj   +1 more source

Bayesian Full‐Waveform Monitoring of CO2 Storage With Fluid‐Flow Priors via Generative Modeling

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.
Abstract Quantitative monitoring of subsurface changes is essential for ensuring the safety of geological CO2 ${\text{CO}}_{2}$ sequestration. Full‐waveform monitoring (FWM) can resolve these changes at high spatial resolution, but conventional deterministic inversion lacks uncertainty quantification and incorporates only limited prior information ...
Haipeng Li, Nanzhe Wang, Louis J. Durlofsky, Biondo L. Biondi   +3 more
wiley   +1 more source

Selective Convergence of Followers to Multiple Leaders With Repulsion and Cohesion on Riemannian Manifolds

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT We study the long‐term dynamics of followers that selectively follow one of multiple leaders on Riemannian manifolds, where the leaders interact through repulsive forces while remaining cohesively bounded. We propose a multileader–follower multiagent system defined on Riemannian manifolds. In our model, each follower chooses exactly one leader
Hyunjin Ahn
wiley   +1 more source

Fractional-Order SEIHR(D) Model for Nipah Virus with Spillover: Well-Posedness, Ulam–Hyers Stability, and Global Sensitivity

Abstract In this research, we create a new fractional-order SEIHRD framework to examine how the Nipah virus moves from one species to another (zoonotic spillover) and how it later spreads throughout a community (via contact with one another) or in a hospital or isolation situation (via entering into a hospital or being placed under ...
Taylan Demir, Hasan Hüseyin Tosunoğlu
openaire   +1 more source

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

International Journal for Numerical Methods in Fluids, Volume 98, Issue 5, Page 557-577, May 2026.
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime, B. Després, M. A. Puscas, C. Fiorini   +3 more
wiley   +1 more source

Pupil Plane Multiplexing for Vectorial Fourier Ptychography

Laser &Photonics Reviews, Volume 20, Issue 9, 6 May 2026.
This study proposes a cost‐effective, modality‐adaptive multichannel microscopy framework using pupil‐plane multiplexing. A custom pupil aperture at the Fourier plane encodes channel‐specific transfer functions with spectral or polarization filters, and model‐based reconstruction with channel‐dependent priors decodes them.
Hyesuk Chae, Kyungwon Lee, Yong Guk Kang, Hansol Yoon, Kyung Chul Lee, Seung Ah Lee   +5 more
wiley   +1 more source

A fractional–order model with prevention and isolation optimal control measures to reduce the transmission of Tuberculosis

Journal of Taibah University for Science
In this research paper, we develop a fractional mathematical model consisting of a system of four fractional differential equations (FDEs) utilizing the Caputo operator.
A. El-Mesady, A. M. S. Mahdy, Fatma Özköse   +2 more
doaj   +1 more source

Optimal Control of the Viscous Wave Equation via the Pontryagin Maximum Principle

Numerical Methods for Partial Differential Equations, Volume 42, Issue 3, May 2026.
ABSTRACT A tracking‐type optimal control problem governed by the viscous wave equation with a distributed‐source control and L2$$ {L}^2 $$‐L1$$ {L}^1 $$ control costs is investigated. For this class of PDE‐constrained linear‐convex problems, a Pontryagin maximum principle (PMP) in the PDE setting is derived, and it is shown that the pointwise ...
A. Borzì, S. Roy
wiley   +1 more source

Mathematical model of immune response to Hepatitis C virus (HCV) disease

Partial Differential Equations in Applied Mathematics
This paper presents a mathematical model that comprehensively analyzes the dynamics of Hepatitis C Virus (HCV) infection. The model based on a system of nonlinear differential equations captures the interactions between liver cells (hepatocytes), the ...
Amna H.A. Ibrahim, Hermane Mambili Mamboundou   +1 more
doaj   +1 more source