Results 51 to 60 of about 191 (131)

Positive solutions for diffusive Logistic equation with refuge

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper, we study the stationary solutions of the Logistic ...
Sun Jian-Wen
doaj   +1 more source

A computational approach using modified trigonometric cubic B-spline for numerical solution of Burgers’ equation in one and two dimensions

open access: yesAlexandria 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
doaj   +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

Reaction-diffusion systems with 1-homogeneous non-linearity

open access: yesElectronic Journal of Differential Equations, 2002
We describe the dynamics of a system of two reaction-diffusion equations with 1-homogeneous non-linearity. We show that either an order-preserving property holds and can be used in order to determine the limiting behaviour in some (invariant) sets or the
Matthias Bueger
doaj  

Complex dynamics of a nonlinear discrete predator-prey system with Allee effect

open access: yesOpen Mathematics
The transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. In this article, we study a discrete predator-prey system with Holling type II functional response and Allee effect. First, the number of fixed points
Wang Jing, Lei Ceyu
doaj   +1 more source

Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities

open access: yesAdvances in Nonlinear Analysis
This article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities.
Liu Yuan-Hao, Bu Zhen-Hui, Zhang Suobing
doaj   +1 more source

Wellposedness and dynamics of two types of reaction–nonlocal diffusion systems under the inhomogeneous spectral fractional Laplacian

open access: yesAdvances in Nonlinear Analysis
Reaction–nonlocal diffusion equations (RNDEs) model nonlocal transport and anomalous diffusion by replacing the Laplacian with a fractional power, capturing diffusion mechanisms beyond Brownian motion.
Yuan Pu, Zegeling Paul A.
doaj   +1 more source

Dynamics of particulate emissions in the presence of autonomous vehicles

open access: yesOpen Mathematics
Around one third of CO2{{\rm{CO}}}_{2} emissions in the atmosphere are linked to vehicular traffic. Pollutant agents have an impact on the environment, in particular, the increased presence of particulate matter (PM) creates negative effects on human ...
Briani Maya   +3 more
doaj   +1 more source

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