Results 21 to 30 of about 82 (82)

Analysis of the Diffusion SIR Epidemic Model With Networked Delay and Nonlinear Incidence Rate

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
This paper is concerned with the qualitative analysis of a diffusion SIR epidemic model with networked delay and nonlinear incidence rate. First, we prove the existence and uniqueness of the model by using the method of upper and lower solutions. Then, we prove that the trivial equilibrium (0, 0) is unstable; the disease‐free equilibrium (N, 0) is ...
Xiangyu Tang, Yujuan Chen, Mengxin Chen
wiley   +1 more source

Asymptotic behavior of solutions of a free boundary model with seasonal succession and impulsive harvesting

open access: yesAdvances in Nonlinear Analysis
In this article, we consider the influence of seasonal succession and impulsive harvesting on the dynamical behavior of solutions to a free boundary model. First, the generalized principal eigenvalue is defined and its properties are studied.
Li Yanglei, Han Xuemei, Sun Ningkui
doaj   +1 more source

On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets

open access: yesAdvances in Nonlinear Analysis, 2019
We prove the exact multiplicity of flat and compact support stable solutions of an autonomous non-Lipschitz semilinear elliptic equation of eigenvalue type according to the dimension N and the two exponents, 0 < α < β < 1, of the involved nonlinearites ...
Díaz J.I., Hernández J., Ilyasov Y.Sh.
doaj   +1 more source

New Trends in Free Boundary Problems

open access: yesAdvanced Nonlinear Studies, 2017
We present a series of recent results on some new classes of free boundary problems.Differently from the classical literature, the problems considered have either a “nonlocal” feature (e.g., the interaction or/and the interfacial energy may depend on ...
Dipierro Serena   +2 more
doaj   +1 more source

On a free boundary value problem for the anisotropic N-Laplace operator on an N−dimensional ring domain

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
In this paper we are going to investigate a free boundary value problem for the anisotropic N-Laplace operator on a ring domain Ω:=Ω0\Ω¯1⊂𝕉N\Omega : = {\Omega _0}\backslash {\bar \Omega _1} \subset {\mathbb{R}^N}, N ≥ 2.
Nicolescu A. E., Vlase S.
doaj   +1 more source

The existence of axially symmetric stationary fluids with gravity

open access: yesAdvances in Nonlinear Analysis
We establish a theoretical framework for the existence of axially symmetric stationary fluids with gravity within nozzles of finite height. The main focus is on the free streamline theory in axially symmetric fluids under the influence of gravity, with ...
Zhang Fan
doaj   +1 more source

LOCAL SET APPROXIMATION: MATTILA–VUORINEN TYPE SETS, REIFENBERG TYPE SETS, AND TANGENT SETS

open access: yesForum of Mathematics, Sigma, 2015
We investigate the interplay between the local and asymptotic geometry of a set $A\subseteq \mathbb{R}^{n}$ and the geometry of model sets ${\mathcal{S}}\subset {\mathcal{P}}(\mathbb{R}^{n})$, which approximate $A$ locally uniformly on small scales.
MATTHEW BADGER, STEPHEN LEWIS
doaj   +1 more source

Linear stability and bifurcation analysis for a free boundary problem arising in a double-layered tumor model

open access: yesAdvances in Nonlinear Analysis
In this article, we consider a free boundary problem modeling the growth of a double-layered tumor, which contains quiescent cells and proliferating cells.
Liu Yaxin, Song Huijuan, Wang Zejia
doaj   +1 more source

Non-local diffusion and pulse intervention in a faecal-oral model with moving infected fronts

open access: yesAdvances in Nonlinear Analysis
How individual dispersal patterns and human intervention behaviours affect the spread of infectious diseases constitutes a central problem in epidemiological research.
Zhou Qi, Pedersen Michael, Lin Zhigui
doaj   +1 more source

The asymptotic behavior for the Navier-Stokes-Voigt-Brinkman-Forchheimer equations with memory and Tresca friction in a thin domain

open access: yesDemonstratio Mathematica
In this article, we investigate the behavior of weak solutions for the three-dimensional Navier-Stokes-Voigt-Brinkman-Forchheimer fluid model with memory and Tresca friction law within a thin domain. We analyze the asymptotic behavior as one dimension of
Dilmi Mohamed   +4 more
doaj   +1 more source

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