Results 1 to 10 of about 111 (107)

A heterogeneous continuous age-structured model of mumps with vaccine [PDF]

open access: yesInfectious Disease Modelling
In classical mumps models, individuals are generally assumed to be uniformly mixed (homogeneous), ignoring population heterogeneity (preference, activity, etc.). Age is the key to catching mixed patterns in developing mathematical models for mumps.
Nurbek Azimaqin, Yingke Li, Xianning Liu
doaj   +2 more sources

Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay

open access: yesOpen Mathematics, 2022
This article is concerned with the nonlinear stability of traveling waves of a delayed susceptible-infective-removed (SIR) epidemic model with nonlocal dispersal, which can be seen as a continuity work of Li et al.
Wu Xin, Ma Zhaohai
doaj   +1 more source

Thermal Timoshenko beam system with suspenders and Kelvin–Voigt damping

open access: yesFrontiers in Applied Mathematics and Statistics, 2023
In the present study, we consider a thermal-Timoshenko-beam system with suspenders and Kelvin–Voigt damping type, where the heat is given by Cattaneo's law. Using the existing semi-group theory and energy method, we establish the existence and uniqueness
Soh Edwin Mukiawa   +4 more
doaj   +1 more source

Uniform decay estimates for the semi-linear wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic versus frictional dissipative effects

open access: yesAdvances in Nonlinear Analysis, 2023
We are concerned with the stabilization of the wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic and frictional effects.
Jin Kun-Peng, Wang Li
doaj   +1 more source

Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion

open access: yesDemonstratio Mathematica, 2020
In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is
Villa-Morales José
doaj   +1 more source

Standing waves to upper critical Choquard equation with a local perturbation: Multiplicity, qualitative properties and stability

open access: yesAdvances in Nonlinear Analysis, 2022
In this article, we consider the upper critical Choquard equation with a local perturbation −Δu=λu+(Iα∗∣u∣p)∣u∣p−2u+μ∣u∣q−2u,x∈RN,u∈H1(RN),∫RN∣u∣2=a,\left\{\begin{array}{l}-\Delta u=\lambda u+\left({I}_{\alpha }\ast | u\hspace{-0.25em}{| }^{p})| u\hspace{
Li Xinfu
doaj   +1 more source

(Non)linear instability of periodic traveling waves: Klein–Gordon and KdV type equations

open access: yesAdvances in Nonlinear Analysis, 2014
We prove the existence and nonlinear instability of periodic traveling wave solutions for the critical one-dimensional Klein–Gordon equation. We also establish a linear instability criterium for a KdV type system.
Angulo Pava Jaime, Natali Fabio
doaj   +1 more source

A variety of soliton solutions for the fractional Wazwaz-Benjamin-Bona-Mahony equations

open access: yesResults in Physics, 2019
In the present paper, the new three-dimensional modified Benjamin-Bona-Mahony equations recently introduced are analyzed with the introduction of the spatial and temporal fractional order derivatives using conformable fractional derivative.
Aly R. Seadawy   +2 more
doaj   +1 more source

Adaptive stabilization of continuous‐time systems through a controllable modified estimation model

open access: yesMathematical Problems in Engineering, Volume 2004, Issue 2, Page 109-131, 2004., 2004
This paper presents an indirect adaptive control scheme of continuous‐time systems. The estimated plant model is controllable and then the adaptive scheme is free from singularities. Such singularities are avoided through a modification of the estimated plant parameter vector so that its associated Sylvester matrix is guaranteed to be nonsingular. That
M. de la Sen
wiley   +1 more source

Monotonicity formulas for coupled elliptic gradient systems with applications

open access: yesAdvances in Nonlinear Analysis, 2019
Consider the following coupled elliptic system of ...
Fazly Mostafa, Shahgholian Henrik
doaj   +1 more source

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