Results 11 to 20 of about 155 (123)
Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
Boundary 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 +1 more source
The evolution of resource distribution, slow diffusion, and dispersal strategies in heterogeneous populations [PDF]
Frontiers 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 +2 more sources
Electronic Journal of Differential Equations, 2002 Most publications on reaction-diffusion systems of $m$ components ($mgeq 2$) impose $m$ inequalities to the reaction terms, to prove existence of global solutions (see Martin and Pierre [10 ] and Hollis [4]).
Said Kouachi
doaj +1 more source
Numerical solution of the conformable fractional diffusion equation [PDF]
, 2022 In this paper, a numerical approach for solving space-time fractional diffusion equation with variable coefficients is proposed. The fractional derivatives are described in the conformable sense.
Yaslan, H. Cerdik
core +1 more source
On the existence of positive solutions of a class of parabolic reaction diffusion systems
, 2022 In this paper, we show the existence of continuous positive solutions of a class of nonlinear parabolic reaction diffusion systems with initial conditions using techniques of functional analysis and potential analysis. Mathematics Subject Classification (
REDJOUH, Mounir, MESBAHI, Salim
core +1 more source
Global solution for a diffusive epidemic model (HIV/AIDS) with an exponential behavior of source
, 2023 We consider the question of global existence and uniform boundedness of nonnegative solutions of a system of reaction-diffusion equations with exponential nonlinearity, without any restriction on initial data, using maximum principle and Lyapunov ...
DADDIOUAISSA, El Hachemi
core +1 more source
, 2023 In this paper, we study the global existence in time of solutions for a parabolic reaction diffusion model with a full matrix of diffusion coefficients on a bounded domain. The technique used is based on compact semigroup methods and some estimates.
Nabila Barrouk +3 more
core +1 more source
Positive global solutions of nonlocal boundary value problems for the nonlinear convection reaction-diffusion equations [PDF]
, 2017 In this paper, the nonlocal boundary value problems for a class of nonlinear functional convection reaction-diffusion equations with the singular reaction function are studied by using the method of upper and lower solutions and monotone iterative ...
Yan, Baoqiang +3 more
core +1 more source
Connections between the convective diffusion equation and the forced Burgers equation
International Journal of Stochastic Analysis, Volume 15, Issue 1, Page 53-69, 2002., 2002 The convective diffusion equation with drift b(x) and indefinite weight r(x), ∂ϕ∂t=∂∂x[a∂ϕ∂x−b(x)ϕ]+λr(x)ϕ, (1) is introduced as a model for population dispersal. Strong connections between Equation (1) and the forced Burgers equation with positive frequency (m ≥ 0), ∂u∂t=∂2u∂x2−u∂u∂x+mu+k(x), (2) are established through the Hopf‐Cole transformation ...
Nejib Smaoui, Fethi Belgacem
wiley +1 more source
Asymptotic behaviour of solutions for porous medium equation with periodic absorption
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 1, Page 35-44, 2001., 2001 This paper is concerned with porous medium equation with periodic absorption. We are interested in the discussion of asymptotic behaviour of solutions of the first boundary value problem for the equation. In contrast to the equation without sources, we show that the solutions may not decay but may be “attracted” into any small neighborhood of the set ...
Yin Jingxue, Wang Yifu
wiley +1 more source