中国物理B ›› 2024, Vol. 33 ›› Issue (11): 110203-110203.doi: 10.1088/1674-1056/ad7afa

• • 上一篇    下一篇

Stochastic modeling and analysis of hepatitis and tuberculosis co-infection dynamics

Sayed Murad Ali Shah1, Yufeng Nie(聂玉峰)1,†, Anwarud Din2,‡, Abdulwasea Alkhazzan1, and Bushra Younas3   

  1. 1 School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China;
    2 Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China;
    3 Department of Mathematics, University of Sialkot, P. O. Box 052, Pakistan
  • 收稿日期:2024-06-30 修回日期:2024-08-27 接受日期:2024-09-14 出版日期:2024-11-15 发布日期:2024-11-15

Stochastic modeling and analysis of hepatitis and tuberculosis co-infection dynamics

Sayed Murad Ali Shah1, Yufeng Nie(聂玉峰)1,†, Anwarud Din2,‡, Abdulwasea Alkhazzan1, and Bushra Younas3   

  1. 1 School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China;
    2 Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, China;
    3 Department of Mathematics, University of Sialkot, P. O. Box 052, Pakistan
  • Received:2024-06-30 Revised:2024-08-27 Accepted:2024-09-14 Online:2024-11-15 Published:2024-11-15
  • Contact: Yufeng Nie, Anwarud Din E-mail:yfnie@nwpu.edu.cn;anwarud@mail.sysu.edu.cn

PDF (PC)

4

赞

摘要： Several mathematical models have been developed to investigate the dynamics of tuberculosis (TB) and hepatitis B virus (HBV). Numerous current models for TB, HBV, and their co-dynamics fall short in capturing the important and practical aspect of unpredictability. It is crucial to take into account a stochastic co-infection HBV-TB epidemic model since different random elements have a substantial impact on the overall dynamics of these diseases. We provide a novel stochastic co-model for TB and HBV in this study, and we establish criteria on the uniqueness and existence of a non-negative global solution. We also looked at the persistence of the infections as long its dynamics are governable by the proposed model. To verify the theoretical conclusions, numerical simulations are presented keeping in view the associated analytical results. The infections are found to finally die out and go extinct with certainty when Lévy intensities surpass the specified thresholds and the related stochastic thresholds fall below unity. The findings also demonstrate the impact of noise on the decline in the co-circulation of HBV and TB in a given population. Our results provide insights into effective intervention strategies, ultimately aiming to improve the management and control of TB and HBV co-infections.

关键词: tuberculosis (TB), hepatitis B virus (HBV), white noise, Lévy noise, stochastic model

Abstract: Several mathematical models have been developed to investigate the dynamics of tuberculosis (TB) and hepatitis B virus (HBV). Numerous current models for TB, HBV, and their co-dynamics fall short in capturing the important and practical aspect of unpredictability. It is crucial to take into account a stochastic co-infection HBV-TB epidemic model since different random elements have a substantial impact on the overall dynamics of these diseases. We provide a novel stochastic co-model for TB and HBV in this study, and we establish criteria on the uniqueness and existence of a non-negative global solution. We also looked at the persistence of the infections as long its dynamics are governable by the proposed model. To verify the theoretical conclusions, numerical simulations are presented keeping in view the associated analytical results. The infections are found to finally die out and go extinct with certainty when Lévy intensities surpass the specified thresholds and the related stochastic thresholds fall below unity. The findings also demonstrate the impact of noise on the decline in the co-circulation of HBV and TB in a given population. Our results provide insights into effective intervention strategies, ultimately aiming to improve the management and control of TB and HBV co-infections.

Key words: tuberculosis (TB), hepatitis B virus (HBV), white noise, Lévy noise, stochastic model

中图分类号:  (Stochastic processes)

  • 02.50.Ey
02.50.Fz (Stochastic analysis) 02.50.Ga (Markov processes)