[HTML][HTML] The Volterra-Lyapunov matrix theory and nonstandard finite difference scheme to study a dynamical system

M Riaz, K Shah, A Ullah, MA Alqudah, T Abdeljawad - Results in Physics, 2023 - Elsevier
A compartmental model is considered to study the transmission dynamics of COVID-19. The
proposed model is investigated for different results by using Volterra-Lyapunov (VL) matrix …

An approach for the global stability of mathematical model of an infectious disease

M Masoumnezhad, M Rajabi, A Chapnevis, A Dorofeev… - Symmetry, 2020 - mdpi.com
The global stability analysis for the mathematical model of an infectious disease is
discussed here. The endemic equilibrium is shown to be globally stable by using a …

The transmission dynamics of the monkeypox virus in the presence of environmental transmission

CE Madubueze, IO Onwubuya, GN Nkem… - Frontiers in Applied …, 2022 - frontiersin.org
This study presents a deterministic model for the environmental transmission dynamics of
monkeypox (MPX) in the presence of quarantine and vaccination. The analysis of the model …

Global stability analysis of the role of multi-therapies and non-pharmaceutical treatment protocols for COVID-19 pandemic

BE Bassey, JU Atsu - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, we sought and presented an 8-Dimensional deterministic mathematical COVID-
19 dynamic model that accounted for the global stability analysis of the role of dual-bilinear …

Analyzing a Dynamical System with Harmonic Mean Incidence Rate Using Volterra–Lyapunov Matrices and Fractal-Fractional Operators

M Riaz, FA Alqarni, K Aldwoah, FMO Birkea… - Fractal and …, 2024 - mdpi.com
This paper investigates the dynamics of the SIR infectious disease model, with a specific
emphasis on utilizing a harmonic mean-type incidence rate. It thoroughly analyzes the …

A comprehensive analysis of COVID-19 nonlinear mathematical model by incorporating the environment and social distancing

M Riaz, K Shah, T Abdeljawad, I Amacha, A Al-Jaser… - Scientific Reports, 2024 - nature.com
This research conducts a detailed analysis of a nonlinear mathematical model representing
COVID-19, incorporating both environmental factors and social distancing measures. It …

Volterra–Lyapunov stability analysis of the solutions of babesiosis disease model

F Chien, S Shateyi - Symmetry, 2021 - mdpi.com
This paper studies the global stability analysis of a mathematical model on Babesiosis
transmission dynamics on bovines and ticks populations as proposed by Dang et al. First …

A model for competing information diffusion in social networks

Q Sun, Y Li, H Hu, S Cheng - IEEE Access, 2019 - ieeexplore.ieee.org
In recent years, social networks have attracted the interest of researchers from diverse
disciplines. Competing types of information, such as positive and negative information about …

The global stability and optimal control of the COVID-19 epidemic model

F Chien, HS Nik, M Shirazian… - International Journal of …, 2024 - World Scientific
This paper considers stability analysis of a Susceptible-Exposed-Infected-Recovered-Virus
(SEIRV) model with nonlinear incidence rates and indicates the severity and weakness of …

Stability analysis of SEIRS epidemic model with nonlinear incidence rate function

P Shao, S Shateyi - Mathematics, 2021 - mdpi.com
This paper addresses the global stability analysis of the SEIRS epidemic model with a
nonlinear incidence rate function according to the Lyapunov functions and Volterra …