20 citations · 21 across the 11 of their papers we have counts for
15 papers
A Mathematical Study of an SIS Epidemic Model: Global Asymptotic Stability Analysis and Construction of Nonstandard Numerical Schemes
Manh Tuan Hoang
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 sta…
Global Dynamics of a Pharmacokinetic Compartment Model for Human Ethanol Metabolism and Its Generalization
Manh Tuan Hoang
In this work, we revisit a continuous-time two-compartment pharmacokinetic model of human ethanol metabolism originally proposed by Levitt and Levitt. We first establish the positi…
A simple second-order nonstandard numerical method for a general class of dynamical systems and its applications
Manh Tuan Hoang
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 cons…
On a Generalized Compartment Model for Ethanol Metabolism in the Human Body
Manh Tuan Hoang, Thi Kim Quy Ngo, Benjamin Wacker
We introduce a generalized continuous-time compartment model of ethanol metabolism in the human body that extends a recently developed framework. In the proposed model, we replace…
A Generalized Hacker Dynamics Model with Nonlinear Incidence: Analysis and Positivity-Preserving Numerical Simulation
Manh Tuan Hoang, Hoai Thu Pham, Matthias Ehrhardt
We propose and analyze a generalized compartment model for hacker dynamics in cybersecurity systems. This model is an extension of a recently introduced framework, replacing the bi…
A Modified SIS Epidemic Model with Application to Health Insurance Pricing
Tuan Chau Do, Tien Thinh Le, Nguyen Trong Hieu +1
In this work, we investigate a modified version of the classical SIS model that incorporates hospitalization for treatment and disease-induced mortality, aiming to more accurately…
A Generalized Second-Order Positivity-Preserving Numerical Method for Non-Autonomous Dynamical Systems with Applications
Manh Tuan Hoang, Matthias Ehrhardt
In this work, we propose a generalized, second-order, nonstandard finite difference (NSFD) method for non-autonomous dynamical systems. The proposed method combines the NSFD framew…
Nonstandard finite difference methods preserving general quadratic Lyapunov functions
Manh Tuan Hoang
In this work, we consider a class of dynamical systems described by ordinary differential equations under the assumption that the global asymptotic stability (GAS) of equilibrium p…
A generalized nonstandard finite difference method for a class of autonomous dynamical systems and its applications
Manh Tuan Hoang
In this work, a class of continuous-time autonomous dynamical systems describing many important phenomena and processes arising in real-world applications is considered. We apply t…
A new and simple condition for the global asymptotic stability of a malware spread model on WSNs
Manh Tuan Hoang
In a very recent work [J. D. Hernández Guillén, A. Martín del Rey, A mathematical model for malware spread on WSNs with population dynamics, Physica A: Statistical Mechanics and it…
Dynamical analysis of a generalized hepatitis B epidemic model and its dynamically consistent discrete model
Manh Tuan Hoang
The aim of this work is to study qualitative dynamical properties of a generalized hepatitis B epidemic model and its dynamically consistent discrete model.
A novel second-order nonstandard finite difference method for solving one-dimensional autonomous dynamical systems
Manh Tuan Hoang
In this work, a novel second-order nonstandard finite difference (NSFD) method that preserves simultaneously the positivity and local asymptotic stability of one-dimensional autono…
Positive and elementary stable explicit nonstandard Runge-Kutta methods for a class of autonomous dynamical systems
Quang A Dang, Manh Tuan Hoang
In this paper, we construct explicit nonstandard Runge-Kutta (ENRK) methods which have higher accuracy order and preserve two important properties of autonomous dynamical systems,…
Lyapunov direct method for investigating stability of nonstandard finite difference schemes for metapopulation models
Quang A Dang, Manh Tuan Hoang
In this paper nonstandard finite difference (NSFD) schemes of two metapopulation models are constructed. The stability properties of the discrete models are investigated by the use…
Nonstandard finite difference schemes for a general predator-prey system
Quang A Dang, Manh Tuan Hoang
In this paper we transform a continuous-time predator-prey system with general functional response and recruitment for both species into a discrete-time model by nonstandard finite…