Results 61 to 70 of about 1,608 (149)

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

Advances 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
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Sharp Blow-Up Profiles of Positive Solutions for a Class of Semilinear Elliptic Problems

Advanced Nonlinear Studies, 2021
This paper analyzes the behavior of the positive solution θε{\theta_{\varepsilon}} of the perturbed ...
Li Wan-Tong, López-Gómez Julián, Sun Jian-Wen   +2 more
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Global dynamics of population-toxicant models with nonlocal dispersals

Advances in Nonlinear Analysis
In the article, we first investigate a population-toxicant model with nonlocal dispersal. Compared to the local dispersal (random dispersal), nonlocal dispersal brings some difficulties.
Ma Li, Tang De
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Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment

Advances in Nonlinear Analysis
This study proposed and analyzed a vector-borne reaction–diffusion–advection model with vector-bias mechanism and heterogeneous parameters in one-dimensional habitat.
Liu Jiaxing, Wang Jinliang
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Time-scale analysis non-local diffusion systems, applied to disease models

, 2020
The objective of the present paper is to use the well known Ross-Macdonald models as a prototype, incorporating spatial movements, identifying different times scales and proving a singular perturbation result using a system of local and non-local ...
Oliva, Sergio, Pereira, Marcone C., Sartori, Larissa M.   +2 more
core  

Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion model

Alexandria Engineering Journal, 2020
In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi, Abdon Atangana, Ali Akgul   +2 more
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Construction of type I blowup solutions for a higher order semilinear parabolic equation

Advances in Nonlinear Analysis, 2019
We consider the higher-order semilinear parabolic ...
Ghoul Tej-Eddine, Nguyen Van Tien, Zaag Hatem   +2 more
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Asymptotic behavior of solutions of a free boundary model with seasonal succession and impulsive harvesting

Advances 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
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Positive solutions for diffusive Logistic equation with refuge

Advances in Nonlinear Analysis, 2019
In this paper, we study the stationary solutions of the Logistic ...
Sun Jian-Wen
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A computational approach using modified trigonometric cubic B-spline for numerical solution of Burgers’ equation in one and two dimensions

Alexandria Engineering Journal, 2018
This article aims to obtain the numerical solution of nonlinear Burgers’ equation in one and two dimensions using hybrid trigonometric differential quadrature method.
Geeta Arora, Varun Joshi
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