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Asymptotic profile of blow-up solutions of Keller-Segel systems in super-critical cases
Differential and Integral Equations, 2010Yoshie Sugiyama
exaly
Mathematical treatment of a model for smoldering combustion
Hiroshima Mathematical Journal, 2008exaly
Higher-order asymptotic expansions for a parabolic system modeling chemotaxis in the whole space
Hiroshima Mathematical Journal, 2009exaly
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
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Global solution for a diffusive epidemic model (HIV/AIDS) with an exponential behavior of source [PDF]
, 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
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Asymptotic stability of solutions for a diffusive epidemic model
Demonstratio Mathematica, 2022 The aim of this paper is to study the existence and the asymptotic stability of solutions for an epidemiologically emerging reaction-diffusion model. We show that the model has two types of equilibrium points to resolve the proposed system for a fairly ...
Bouaziz Khelifa +2 more
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Asymptotic stability of an epidemiological fractional reaction-diffusion model
Demonstratio Mathematica, 2023 The aim of this article is to study the known susceptible-infectious (SI) epidemic model using fractional order reaction-diffusion fractional partial differential equations [FPDEs] in order to better describe the dynamics of a reaction-diffusion SI with ...
Djebara Lamia +2 more
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Properties of generalized degenerate parabolic systems
Advances in Nonlinear Analysis, 2022 In this article, we consider the parabolic system (ui)t=∇⋅(mUm−1A(∇ui,ui,x,t)+ℬ(ui,x,t)),(1≤i≤k){({u}^{i})}_{t}=\nabla \cdot (m{U}^{m-1}{\mathcal{A}}(\nabla {u}^{i},{u}^{i},x,t)+{\mathcal{ {\mathcal B} }}({u}^{i},x,t)),\hspace{1.0em}(1\le i\le k) in the ...
Kim Sunghoon, Lee Ki-Ahm
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