MATHEMATICAL MODELING AND ANALYSIS OF RABIES TRANSMISSION DYNAMICS WITH VACCINATION

Authors

  • M. Isiyaku
    Modibbo Adama University
  • Musa Abdullahi
    Modibbo Adama University, Yola
  • A. Husseini
    Nigerian Army University, Biu
  • I. M. Song
    Federal College of Education, Yola
  • S. H. Bade
    Federal College of Education, Yola
  • A. Abubakar
    Adamawa State Polytechnic, Yola
  • Umar Gidado
    Government Day Senior Secondary School Hammawa Toungo, Yola

Keywords:

Rabies, Reproduction Number, Vaccination, Stability, Sensitivity

Abstract

Rabies remains a fatal zoonotic disease that poses a significant public health challenge, particularly in low- and middle-income countries. In this study, we develop and analyze a deterministic compartmental model based on ordinary differential equations to investigate the transmission dynamics of rabies between humans and dogs.  Basic properties of the model such as positivity, boundedness, and the existence of equilibria are established, and the model is well-posed mathematically and biologically. The basic reproduction number, ​, is derived using the next-generation matrix method, and stability analysis reveals that the rabies-free equilibrium is locally and globally asymptotically stable when . The model exhibits a unique endemic equilibrium, when , which is also globally stable whenever . Sensitivity analysis using both normalized forward sensitivity indices and partial rank correlation coefficients (PRCC) identifies the most influential parameters on ​. Numerical simulations demonstrate that vaccination, particularly in the dog population is the most effective control strategy in reducing the spread of rabies. The results emphasize the importance of prioritizing control interventions in the dog population to effectively manage and reduce the burden of rabies.

Dimensions

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Published

26-09-2025

How to Cite

MATHEMATICAL MODELING AND ANALYSIS OF RABIES TRANSMISSION DYNAMICS WITH VACCINATION. (2025). FUDMA JOURNAL OF SCIENCES, 9(9), 317-326. https://doi.org/10.33003/fjs-2025-0909-3733

Issue

Vol. 9 No. 9 (2025): FUDMA Journal of Sciences - Vol. 9 No. 9

Section

Research Articles
Copyright & Licensing

Copyright (c) 2025 M. Isiyaku, Musa Abdullahi, A. Husseini, I. M. Song, S. H. Bade, A. Abubakar, Umar Gidado

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

MATHEMATICAL MODELING AND ANALYSIS OF RABIES TRANSMISSION DYNAMICS WITH VACCINATION. (2025). FUDMA JOURNAL OF SCIENCES, 9(9), 317-326. https://doi.org/10.33003/fjs-2025-0909-3733

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