Title: Stability of stochastic Lasota-Wazewska model

Authors: Boulbaba Ghanmi; Ichrak Mnasri

Addresses: Faculty of Sciences, University of Gafsa, Route de Tozeur – 2112 Gafsa, Tunisia ' Faculty of Sciences, LR/13/ES/21, University of Sfax, 3038 Sfax, Tunisia

Abstract: This article extends the theory of pseudo almost periodic solutions to systems affected by stochastic processes. It investigates the existence, uniqueness, and exponential stability of (μ₁, μ₂)-pseudo almost periodic mild solutions in p^th mean sense for a general class of stochastic Lasota-Wazewska model with mixed delays. The study relies on the Banach fixed point theorem, the properties of (μ₁, μ₂)-pseudo almost periodic processes in p^th mean sense, and some stochastic analysis techniques. Moreover, several sufficient conditions are presented to guarantee our objectives. A numerical example is included to illustrate and support the theoretical findings.

Keywords: p^th mean pseudo almost periodic processes; exponential stability; stochastic Lasota-Wazewska model; double measure; mixed delays; Wiener process.

DOI: 10.1504/IJDSDE.2025.149971

International Journal of Dynamical Systems and Differential Equations, 2025 Vol.14 No.4, pp.281 - 304

Received: 08 Aug 2024
Accepted: 26 Jun 2025
Published online: 19 Nov 2025 *

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