基于阿坦加纳-巴莱亚努导数的分数阶狂犬病传播模型研究

Zainab Marya, Boulaaras Salah, Aslam Adnan, Shafiq Sidra, Hussain Takasar, Ozair Muhammad

Department of Mathematics, School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan.

Department of Mathematics, College of Science, Qassim University, 51452, Buraydah, Saudi Arabia.

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

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.

在这项工作中，我们旨在通过数学建模方法理清理论贡献，以增进对家畜群体中狂犬病动态和控制的理解。利用阿坦加纳-巴莱努分数阶算子创建了一个狂犬病的分数阶模型。对所提出的系统进行了分析并开展了其应用研究。所提出模型的疾病预测能力可帮助研究人员和家畜卫生保健机构采取预防措施。