Bifurcation and Stability Analysis of Nipah Virus Transmission with Imperfect Vaccination

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Binti Mualifatul Rosydah, Marsudi, Wuryansari Muharini Kusumawinahyu, Nur Shofianah

2026 Engineering Letters Vol. 34 Issue 4 Article Cited by 0 Quartile

Abstract

The Nipah virus (NiV) is a highly fatal zoonotic disease that poses a serious public health threat, particularly in Southeast Asia. This study analyses its transmission dynamics using an SVEIRD compartmental model incorporating imperfect vaccination. The model formulation explicitly accounts for key transmission routes, including direct contact and unprotected exposure to NiV-infected deceased bodies, with an exposed compartment representing the incubation period. The basic reproduction number (R0) is derived using the next-generation matrix method. The dynamical analysis identifies two equilibrium points: the disease-free equilibrium (DFE) and the endemic equilibrium (EE). The DFE is shown to be globally asymptotically stable when R0< 1, ensuring disease extinction. When R0> 1, the DFE becomes unstable and a unique EE emerges. The global asymptotic stability of the EE is established by constructing a suitable Lyapunov function, confirming persistent endemicity. The system undergoes a forward bifurcation at R0= 1. Numerical simulations corroborate all analytical findings. These results highlight the critical role of vaccination coverage and public health interventions in controlling Nipah virus outbreaks. © 2026, International Association of Engineers. All rights reserved.

Affiliations

Department of Mathematics, Universitas Brawijaya, Jalan Veteran, East Java, Malang, 65145, Indonesia