Work

Brucellosis threshold dynamics: a time-fractional-order diffusion model with generalized incidence rate functions

Year: 2025

Type: article

Abstract: This study proposes a new Caputo fractional-order brucellosis model that incorporates diffusion terms and generalized incidence rate functions, enabling more flexible simulation of various disease transmission patterns. Compared to traditional integer-order models, the fractional-order model has significant advantages in capturing the memory effect and long-term dynamics of disease spread. We rigorously prove that when $R_{0} > 1 $ R 0 > 1 , the endemic equilibrium is globally asymptotically stable, while when $R_{0} \leq 1 $ R 0 ≤ 1 , the disease-free equilibrium is globally stable. Numerical simulations validate the impact of diffusion and memory effects on the dynamic behavior of the model. Our model not only provides a more accurate description of transmission mechanisms but also offers more reliable theoretical support for the development of public health intervention strategies. This approach is highly flexible and can be applied to a broader range of epidemiological modeling studies.

Source: Advances in Continuous and Discrete Models

DOI: 10.1186/s13662-025-04033-4

Authors: Sheng-Hu Xu, Yan-Hui Hu

Institution: North Minzu University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: hybrid

Estimated APC paid: $1,890