4 papers
SIR model with random diffusion, reinfection, and random transmission: exponential attractors and spread of the disease
Tomás Caraballo, Javier López-de-la-Cruz, Alexandre N. Oliveira-Sousa +1
We introduce a stochastic SIR-type partial differential equation model incorporating random diffusion, reinfection, vital dynamics, and a randomly varying transmission rate. For th…
Hausdorff dimension of random attractors for a stochastic delayed parabolic equation in Banach spaces
Wenjie Hu, TomásCaraballo, Yueliang Duan
The main purpose of this paper is to give an upper bound of Hausdorff dimension of random attractors for a stochastic delayed parabolic equation in Banach spaces. The estimation of…
Exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain
Wenjie Hu, Tomás Caraballo
The main objective of this paper is to investigate exponential attractors for a nonlocal delayed reaction-diffusion equation on an unbounded domain. We first obtain the existence o…
Existence and dimensions of global attractors for a delayed reaction-diffusion equation on an unbounded domain
Wenjie Hu, Tomás Caraballo, Alain Miranville
The purpose of this paper is to investigate the existence and Hausdorff dimension as well as fractal dimension of global attractors for a delayed reaction-diffusion equation on an…