Study of fractional order rabies transmission model via Atangana-Baleanu derivative

Sci Rep. 2024 Oct 28;14(1):25875. doi: 10.1038/s41598-024-77282-0.

Abstract

In this work, we aim at disentangling the theoretical contribution through mathematical modeling approach to advance the understanding of rabies dynamics and control in livestock population. A fractional order model of rabies, using Atangana-Baleanu fractional operator is created. The analysis of suggested system and its application are both conducted. The capacity of proposed model to forecast the disease can help researchers and livestock health care agencies to take preventive actions.

Keywords: Computational model; Existence and uniqueness; Fractional derivatives; Fractional model; Numerical simulation; Stability.