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Positive solutions for the degenerate logistic indefinite superlinear problem the slow diffusion case
(University of Houston, 2003)
In this work we study the existence, stability and multiplicity of the positive steady-states solutions of the degenerate logistic indefinite superlinear problem. By an adequate change of variable, the problem is transformed ...
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On a stochastic nonlocal system with discrete diffusion modeling life tables
(World scientific, 2021-10-20)
In this paper we study an stochastic system of differential equations with nonlocal discrete diffusion. For two type of noises we study the existence of either positive or probability solutions. Also, we analyse the ...
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Analysis of a stochastic coronavirus (COVID-19) L´evy jump model with protective measures
(Taylor & Francis, 2021-09-30)
This paper studied a stochastic epidemic model of the spread of the novel coronavirus (COVID19). Severe factors impacting the disease transmission are presented by white noise and compensated poisson noise with possibly ...
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Combining linear and nonlinear diffusion
(De Gruyter, 2004-08)
In this paper we study a generalized porous medium equation where the diffusion rate, say m(x) —spatially heterogeneous—, is assumed to be linear, m = 1, on a piece of the support domain, Ω1, and slow nonlinear, m(x) > 1, ...
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Asymptotic behavior of nonlocal partial differential equations with long time memory
(AIMS, 2022-10-01)
In this paper, it is first addressed the well-posedness of weak solutions to a nonlocal partial differential equation with long time memory, which is carried out by exploiting the nowadays well-known technique used by ...
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Non-Linear Stochastic Partial Differential Equations with Delays: Existence and Uniqueness of Solutions
(1991)
The main aim of this paper is to study stochastic PDE's with delay terms. In fact, we prove existence and uniqueness of solutions (in Itô's sense) for a rather general type of stochastic PDE's with non-linear monotone ...
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Asymptotic Behaviour of a Logistic Lattice System
(2014)
In this paper we study the asymptotic behaviour of solutions of a lattice dynamical system of a logistic type. Namely, we study a system of in nite ordinary di erential equations which can be obtained after the spatial ...
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Insensitizing controls for a heat equation with a nonlinear term involving the state and the gradient
(Elsevier, 2004)
In this paper we present two results on the existence of insensitizing controls for a heat equation in a bounded domain of IRN . We first consider a semilinear heat equation involving gradient terms with homogeneous Dirichlet ...
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Invariant measures for stochastic 3D Lagrangian-averaged Navier–Stokes equations with infinite delay
(Elsevier, 2023-04-05)
In this paper we investigate stochastic dynamics and invariant measures for stochastic 3D Lagrangian-averaged NavierStokes (LANS) equations driven by infinite delay and additive noise. We first use the Galerkin approximations, ...