Dynamical analysis of a generalized hepatitis B epidemic model and its dynamically consistent discrete model

MT Hoang - Mathematics and Computers in Simulation, 2023 - Elsevier
The aim of this work is to study qualitative dynamical properties of a generalized hepatitis B
epidemic model and its dynamically consistent discrete model. Positivity, boundedness, the …

[PDF][PDF] On the nonstandard numerical discretization of SIR epidemic model with a saturated incidence rate and vaccination

A Suryanto, I Darti - AIMS Math, 2021 - aimspress.com
Recently, Hoang and Egbelowo (Boletin de la Sociedad Matematica Mexicana, 2020)
proposed a nonstandard finite difference scheme (NSFD) to get a discrete SIR epidemic …

Dynamics of a fractional-order hepatitis b epidemic model and its solutions by nonstandard numerical schemes

MT Hoang, OF Egbelowo - … Modelling and Analysis of Infectious Diseases, 2020 - Springer
In this chapter, we propose and analyze a fractional-order hepatitis B epidemic model, which
is an extension of a recognized ordinary differential model. Our main objective is to study …

Modeling visceral leishmaniasis and tuberculosis co-infection dynamics

OF Egbelowo, JB Munyakazi, PG Dlamini… - Frontiers in Applied …, 2023 - frontiersin.org
The co-infection of visceral leishmaniasis (VL) and tuberculosis (TB) patients pose a major
public health challenge. In this study, we develop a mathematical model to study the …

A simple approach for studying stability properties of an SEIRS epidemic model

MT Hoang - Journal of Applied Analysis, 2024 - degruyter.com
In this work, we study stability properties of a well-known integer-order SEIRS model with
nonlinear incidence and vertical transmission. Firstly, we introduce a simple approach to the …

On a new fractional-order Logistic model with feedback control

MT Hoang, AM Nagy - Applied Mathematics-A Journal of Chinese …, 2021 - Springer
In this paper, we formulate and analyze a new fractional-order Logistic model with feedback
control, which is different from a recognized mathematical model proposed in our very recent …

Global dynamics of target-mediated drug disposition models and their solutions by nonstandard finite difference method

OF Egbelowo, MT Hoang - Journal of Applied Mathematics and …, 2021 - Springer
The aim of this work is to study global dynamics of target-mediated drug disposition (TMDD)
models and their solutions by nonstandard finite difference (NSFD) schemes. Firstly, we use …

Dynamical behavior of a hepatitis B epidemic model and its NSFD scheme

M Gümüş, K Türk - Journal of Applied Mathematics and Computing, 2024 - Springer
Hepatitis is inflammation of the liver, and one of its types, hepatitis B, is a contagious
infection. Using mathematical models, the nature of the spread of the Hepatitis B virus can …

On the global asymptotic stability of a predator–prey model with Crowley–Martin function and stage structure for prey

MT Hoang - Journal of Applied Mathematics and Computing, 2020 - Springer
In this work, we present a mathematically rigorous analysis for the local and global
asymptotic stability of a predator–prey model with Crowley–Martin function and stage …

Global Asymptotic Stability Analysis of Fixed Points for a Density-Dependent Single-Species Population Growth Model

M He, M Zhu, X Teng, Z Hu, W Feng, H Song, X Chen… - Mathematics, 2023 - mdpi.com
In a density-dependent single-species population growth model, a simple method is
proposed to explicitly and directly derive the analytic expressions of reliable regions for local …