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Mathematical Analysis of a Co-Dynamics Model of Listeriosis and Bacterial Meningitis Starting From Ready-to-Eat Foods

International Journal of Analysis and Applications | 2026

Paper Details

Authors: Koutou O.; Kouanda C.A.K.; Ouédraogo A.

DOI: 10.28924/2291-8639-24-2026-160

Journal: International Journal of Analysis and Applications

Year: 2026

Publisher: Etamaths Publishing

Document Type: Article

Open Access: All Open Access; Gold Open Access

Cited by: 0

Abstract

Listeriosis is a foodborne illness that can lead to bacterial meningitis. In this paper, we propose and investigate a model of co-infection involving both listeriosis and bacterial meningitis, originating from ready-to-eat food products. We begin by examining the patterns of each disease individually, as well as the dynamics of their co-infection. From our global co-infection model, we derive separate models for bacterial meningitis and listeriosis. Each model is analyzed in terms of the existence of equilibrium points, threshold dynamics parameters, stability results, sensitivity analysis, and the presence of backward and forward bifurcations. Finally, we present numerical simulation results to support our theoretical findings. © 2026 the author(s).

Keywords

bifurcation; co-infection modeling; Listeriosis/bacterial meningitis; Numerical simulations; sensitivity analysis