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On a class of stochastic hyperbolic equations with double characteristics
Enrico Bernardi, Alberto Lanconelli
We study the effect of Gaussian perturbations on a hyperbolic partial differential equation with double characteristics in two spatial dimensions. The coefficients of our partial d…
A note about the invariance of the basic reproduction number for stochastically perturbed SIS models
Enrico Bernardi, Alberto Lanconelli
We try to justify rigorously, using a Wong-Zakai approximation argument, the susceptible-infected-susceptible (SIS) stochastic differential equation proposed in [2]. We discover th…
Stochastic perturbation of a cubic anharmonic oscillator
Enrico Bernardi, Alberto Lanconelli
We perturb with an additive Gaussian white noise the Hamiltonian system associated to a cubic anharmonic oscillator. The stochastic system is assumed to start from initial conditio…
On a class of stochastic differential equations with random and Hölder continuous coefficients arising in biological modeling
Enrico Bernardi, Vinayak Chuni, Alberto Lanconelli
Inspired by the paper Greenhalgh et al. [5] we investigate a class of two dimensional stochastic differential equations related to susceptible-infected-susceptible epidemic models…