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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…