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math.PR2025
Global weak martingale solutions to a stochastic two-sidedly degenerate aggregation-diffusion equation issued from biology
Mostafa Bendahmane, Mohamed Mehdaoui, Mouhcine Tilioua
The purpose of this paper is to establish the well-posedness of martingale (probabilistic weak) solutions to stochastic degenerate aggregation--diffusion equations arising in biolo…
math.PR2023★ 12 cited
Well-posedness results for a new class of stochastic spatio-temporal SIR-type models driven by proportional pure-jump Lévy noise
Mohamed Mehdaoui
This paper provides a first attempt to incorporate the massive discontinuous changes in the spatio-temporal dynamics of epidemics. Namely, we propose an extended class of epidemic…