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Author

M. T. Hoang

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2 papers indexed here

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Preprint Aug 2026

A Mathematical Study of an SIS Epidemic Model: Global Asymptotic Stability Analysis and Construction of Nonstandard Numerical Schemes

The aim of this work is to provide a rigorous mathematical analysis of a well-known SIS epidemic model with a saturating contact rate. First, we establish the global asymptotic stability (GAS) of the model's equilibria by employing a suitable Lyapunov function in combination with the Poincar\'e--Bendixson theorem and t...

Manh Tuan Hoang · 0 citations
Preprint Aug 2026

A simple second-order nonstandard numerical method for a general class of dynamical systems and its applications

In this work, we consider a class of continuous-time autonomous dynamical systems that model various important phenomena and processes encountered in real-world situations. We construct a second-order nonstandard finite difference (NSFD) method that simultaneously preserves two essential properties of the dynamical sys...

Manh Tuan Hoang · 0 citations

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