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In this study, we explore the global stability analysis of a mathematical model for dog and human rabies transmission dynamics. By employing an altered Volterra-Lyapunov matrix technique, we exhibit the endemic equilibrium's worldwide stability. Using Volterra-Lyapunov matrices in conjunction with Lyapunov functions, this technique lowers matrix size without sacrificing important symmetry characteristics. Complex systems with nonlinear incidence rates can use the results. The analytical results are demonstrated using MATLAB-based numerical simulations that provide light on the stability of the dynamics of rabies transmission.

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A Volterra-Lyapunov Approach to the Stability of Dog and Human Rabies Transmission

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  • 发表日期：

    2026年

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  • Naresh Kumar Jothi,
  • Anusha Muruganandham,
  • Jayant Giri,
  • Mohammad A. Hassan,
  • Rajkumar Chadge

摘要

In this study, we explore the global stability analysis of a mathematical model for dog and human rabies transmission dynamics. By employing an altered Volterra-Lyapunov matrix technique, we exhibit the endemic equilibrium's worldwide stability. Using Volterra-Lyapunov matrices in conjunction with Lyapunov functions, this technique lowers matrix size without sacrificing important symmetry characteristics. Complex systems with nonlinear incidence rates can use the results. The analytical results are demonstrated using MATLAB-based numerical simulations that provide light on the stability of the dynamics of rabies transmission.