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…
Minimal jointly uniform attractor for nonautonomous random dynamical systems
Pedro Catuogno, Alexandre do Nascimento Oliveira-Sousa, Paulo Ruffino
We introduce a notion of minimal uniform attractor for nonautonomous random dynamical systems, which depends jointly on time and on a random parameter. Several examples are provide…
invariant, stable and inertial manifolds for non-autonomous dynamical systems
RadosÅaw Czaja, Piotr Kalita, Alexandre N. Oliveira-Sousa
We use the version of the Lyapunov--Perron method operating on individual solutions to investigate the existence of invariant manifolds for non-autonomous dynamical systems, focusi…
SIR models with vital dynamics, reinfection and randomness to investigate the spread of infectious diseases
Javier López-de-la-Cruz, Alexandre N. Oliveira-Sousa
We investigate SIR models with vital dynamics, reinfection, and randomness at the transmission coefficient and recruitment rate. Initially, we conduct an extensive analysis of the…