Results 21 to 30 of about 377 (102)

An epidemiological model of the mumps virus via Mittag-Leffler Kernel: Stability analysis and artificial neural network solutions

AIMS Mathematics
This study presents a mathematical model utilizing fractal fractional-order Mittag-Leffler (FFM) operators to investigate the transmission dynamics of the mumps virus.
I-Hung Lee, Sanaullah Saqib, Qin Sheng, Yin-Tzer Shih   +3 more
doaj   +1 more source

A priori estimates and large population limits for some nonsymmetric Nash systems with semimonotonicity

Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 3-88, January 2026.
Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
wiley   +1 more source

Modeling the spatiotemporal dynamic heterogeneity of pre-synthetic stage breast cancer tumor-immune interactions

Partial Differential Equations in Applied Mathematics
Breast cancer remains a leading cause of mortality among women worldwide. While metastatic-stage cancer has no cure, understanding the spatiotemporal dynamics of tumor-immune interactions at the pre-synthetic stage is essential for developing effective ...
Kennedy Mensah, Joseph Abeiku Ackora-Prah, Dominic Otoo, Atta Kwame Gyamfi   +3 more
doaj   +1 more source

A semi‐analytical Bayesian estimate retrieval algorithm for the inversion of remote‐sensing reflectance in optically deep and shallow waters

Limnology and Oceanography: Methods, Volume 24, Issue 1, January 2026.
Abstract The inverse problem in remote sensing of aquatic environment consists in retrieving optically significant constituents (OSCs) from a spectral measurement of the remote sensing reflectance (Rrs).Optically significant constituent includes chlorophyll a concentration (Chl a), a proxy of phytoplankton biomass, absorption of colored detrital matter
Soham Mukherjee, Raphaël Mabit, Simon Bélanger   +2 more
wiley   +1 more source

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

Perspectives on Systematic Cloud Microphysics Scheme Development With Machine Learning

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 1, January 2026.
Abstract Cloud microphysics—the collection of processes that govern the small‐scale formation, evolution, and interactions of liquid droplets and ice crystals in clouds and precipitation—remains a major source of uncertainty in weather and climate models.
Kara D. Lamb, Clare E. Singer, Kaitlyn Loftus, Hugh Morrison, Margaret Powell, Joseph Ko, Jatan Buch, Arthur Z. Hu, Marcus van Lier Walqui, Pierre Gentine   +9 more
wiley   +1 more source

Hybrid multi-step fractional numerical schemes for human-wildlife zoonotic disease dynamics

AIMS Mathematics
In this study, the transmission dynamics of zoonotic diseases between baboons and humans were explored by examining increased interactions between humans and wild animals. We established the model's well-posedness through proofs of existence, uniqueness,
Muflih Alhazmi, Safa M. Mirgani, Abdullah Alahmari, Sayed Saber   +3 more
doaj   +1 more source

Surface Wave Solutions in 1D and 2D for the Broer–Kaup–Boussinesq–Kupershmidt System

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT The Broer–Kaup–Boussinesq–Kupershmidt (BKBK) system is a singular perturbation of the classical shallow water equations which modifies their transport velocity to depend on wave elevation slope. This modification introduces backward diffusion terms proportional to a real parameter κ$\kappa$.
Darryl D. Holm, Ruiao Hu, Hanchun Wang
wiley   +1 more source

Modeling Prey–Predator Populations With Noise Following the Extended Gaussian Distribution

Journal of Probability and Statistics, Volume 2026, Issue 1, 2026.
This study examines how tourism influences the ecological balance of a protected natural park where two interacting wildlife species follow Lotka–Volterra‐type prey–predator dynamics. Tourists’ decisions to visit the park depend on environmental fluctuations, species visibility, and time‐varying preferences toward prey and predator populations.
Kumlachew Wubale Tesfaw, Ayele Taye Goshu, Tsegaye Simon Lachamo, Marek T. Malinowski   +3 more
wiley   +1 more source