Analyzing HIV/AIDS dynamics with a novel Caputo-Fabrizio fractional order model and optimal control measures. [PDF]
Butt AIK +4 more
europepmc +1 more source
Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations
ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani +2 more
wiley +1 more source
Mathematical model of the lumpy skin disease using Caputo fractional-order derivative via invariant point technique. [PDF]
Mani G +4 more
europepmc +1 more source
Duality for Evolutionary Equations With Applications to Null Controllability
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source
Effects of quarantine and vaccination on the transmission of Lumpy skin disease: A fractional approach. [PDF]
Almuallem NA, Chauhan RP.
europepmc +1 more source
Homogenization With Guaranteed Bounds via Primal‐Dual Physically Informed Neural Networks
ABSTRACT Physics‐informed neural networks (PINNs) have shown promise in solving partial differential equations (PDEs) relevant to multiscale modeling, but they often fail when applied to materials with discontinuous coefficients, such as media with piecewise constant properties. This paper introduces a dual formulation for the PINN framework to improve
Liya Gaynutdinova +3 more
wiley +1 more source
A fractional order model for the transmission dynamics of shigellosis. [PDF]
Edward S.
europepmc +1 more source
ABSTRACT The contribution deals with algebraic multigrid (AMG) based preconditioning methods for the iterative solution of a coupled linear system of equations arising in numerical simulations of failure of quasi‐brittle materials using generalized continuum approaches.
Nasser Alkmim +4 more
wiley +1 more source
Transmission dynamics and stability analysis of fractional HIV and AIDS epidemic model with antiretroviral therapy. [PDF]
Huang L +4 more
europepmc +1 more source
ABSTRACT This article addresses the problem of quantifying the uncertainty in planning aircraft ground movement operations using towbarless robotic tractors taking into account the inherent uncertainties of the problem, specifically, the uncertainties in the weight of the aircraft and in the rolling resistance of the wheels of the main landing gear ...
Almudena Buelta +2 more
wiley +1 more source

