3 papers
math.PR2025
Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity
Arsene Brice Zotsa-Ngoufack
We study the fluctuations of a stochastic epidemic model with memory of the last infections, varying infectivity, and waning immunity, as introduced in Guerin and Zotsa-Ngoufack:ar…
math.PR2025
A stochastic epidemic model with memory of the last infection and waning immunity
Hélène Guérin, Arsene Brice Zotsa-Ngoufack
We adapt the article of Forien, Pang, Pardoux and Zotsa: Arxiv preprint Arxiv2210.04667(2022), on epidemic models with varying infectivity and waning immunity, to incorporate the m…
math.PR2025
Stochastic epidemic models with varying infectivity and waning immunity
Raphaël Forien, Guodong Pang, Ãtienne Pardoux +1
We study an individual-based stochastic epidemic model in which infected individuals become susceptible again following each infection. In contrast to classical compartment models,…