Results 31 to 40 of about 191 (131)

Unstable periodic wave solutions of Nerve Axion diffusion equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 4, Page 787-796, 1987., 1987
Unstable periodic solutions of systems of parabolic equations are studied. Special attention is given to the existence and stability of solutions.
Rina Ling
wiley   +1 more source

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

Approximations to precisely localized supports of solutions for non-linear parabolic p-Laplacian problems

open access: yesDemonstratio Mathematica
The shrinking of support in non-linear parabolic pp-Laplacian equations with a positive initial condition u0{u}_{0} that decayed as ∣x∣→∞| x| \to \infty was explored in the Cauchy problem.
Jeli Roqia Abdullah
doaj   +1 more source

Computational dynamics of predator-prey model with the power-law kernel

open access: yesResults in Physics, 2021
Evolution system which contains fractional derivatives can give rise to useful mathematical model for describing some important real-life or physical scenarios.
Kolade M. Owolabi
doaj   +1 more source

Global stability and asymptotic profiles of a partially degenerate reaction diffusion Cholera model with asymptomatic individuals

open access: yesAdvances in Nonlinear Analysis
Considering the prevalence of asymptomatic individuals during the spread of disease, this article develops a model of degenerate reaction diffusion Cholera with asymptomatic individuals. First, the well-posedness of model is studied, including the global
Wang Shengfu, Nie Linfei
doaj   +1 more source

Boundedness of Stable Solutions to Semilinear Elliptic Equations: A Survey

open access: yesAdvanced Nonlinear Studies, 2017
This article is a survey on boundedness results for stable solutions to semilinear elliptic problems.For these solutions, we present the currently known L∞${L^{\infty}}$ estimates that hold for all nonlinearities.Such estimates are known to hold up to ...
Cabré Xavier
doaj   +1 more source

The evolution of resource distribution, slow diffusion, and dispersal strategies in heterogeneous populations

open access: yesFrontiers in Applied Mathematics and Statistics, 2023
Population diffusion in river-ocean ecologies and for wild animals, including birds, mainly depends on the availability of resources and habitats. This study explores the dynamics of the resource-based competition model for two interacting species in ...
Ishrat Zahan   +4 more
doaj   +1 more source

Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux

open access: yesBoundary Value Problems, 2011
This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence parameter equation.
Xu Si, Song Zifen
doaj  

Blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients under Neumann boundary conditions

open access: yesOpen Mathematics, 2020
In this paper, the blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients are investigated under Neumann boundary conditions.
Tian Huimin, Zhang Lingling
doaj   +1 more source

Analysis of a diffusive host-pathogen model with standard incidence and distinct dispersal rates

open access: yesAdvances in Nonlinear Analysis, 2020
This paper concerns with detailed analysis of a reaction-diffusion host-pathogen model with space-dependent parameters in a bounded domain. By considering the fact the mobility of host individuals playing a crucial role in disease transmission, we ...
Wang Jinliang, Cui Renhao
doaj   +1 more source

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