Work

Global stability and identifiability of the immuno-epidemiological model

Year: 2025

Type: article

Abstract: The immuno-epidemiological model bridges immunology and epidemiology, offering a detailed framework for studying infectious disease dynamics. However, its high complexity, particularly in constructing Lyapunov functions for partial differential equation (PDE) systems, poses significant challenges in analyzing global stability. In this study, we propose a novel method to infer the Lyapunov function of the PDE system from its degenerate ordinary differential equation (ODE) counterpart, enabling rigorous analysis of the global stability of the between-host (epidemiological) model. Moreover, in the study of inverse problems, the given observational data may have multiple possible solutions. For differential equation models, the model’s identifiability is a prerequisite to ensuring the reliability of parameter estimation. To address identifiability issues in inverse problems, we introduce a method to transform the PDE system with integral terms into an ODE system, facilitating the application of structural identifiability techniques. Our work provides a powerful theoretical and practical framework for advancing the analysis and reliability of immuno-epidemiological models.

Source: Advances in Continuous and Discrete Models

DOI: 10.1186/s13662-025-03983-z

Authors: Hui Wu, Yafei Zhao, Xinjian Xu, Jie Lou

Institution: Shanghai University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: hybrid

Estimated APC paid: $1,890

Funders: National Natural Science Foundation of China, Science and Technology Commission of Shanghai Municipality