2 papers
math.DS2026
Extinction and Persistence in a Stochastic Mpox Model with Hawkes-type Self-Excitation
Giulia Di Nunno, Nicola Giordano, Barbara Martinucci +1
We develop a stochastic human-rodent compartment model for Mpox transmission that combines diffusion noise with Hawkes self-exciting jumps in the human infection dynamics. Includin…
math.PR2025
On a finite quasi birth-death process with catastrophes and its diffusion approximation
Giulia Di Nunno, Barbara Martinucci, Serena Spina
We study a multi-type Ehrenfest process modeled as a finite quasi-birth-death (QBD) process. We assume that the transitions are allowed only to the two adjacent levels of the same…