Mathematical modeling and analysis of SWCNT-Water and MWCNT-Water flow over a stretchable sheet

M Ibrahim, MI Khan - Computer methods and programs in biomedicine, 2020 - Elsevier
In this article we focused on the mixed convection flow of SWCNT-Water and MWCNT-Water
over a stretchable permeable sheet. The nanofluid occupied porous medium. Darcy's law is …

Terminal value problems for the nonlinear systems of fractional differential equations

B Shiri, GC Wu, D Baleanu - Applied Numerical Mathematics, 2021 - Elsevier
Terminal value problems of fractional nonlinear systems are studied in this paper. The
existence and uniqueness are given. The regularity of the solution is obtained in the …

Investigating the impact of memory effects on computer virus population dynamics: A fractal–fractional approach with numerical analysis

İ Avcı, A Hussain, T Kanwal - Chaos, Solitons & Fractals, 2023 - Elsevier
In this study, we investigate the impact of memory effects through the application of the
fractal–fractional derivative operator on population dynamics in computer viruses. By …

Reliable approximations for a hepatitis B virus model by nonstandard numerical schemes

MT Hoang - Mathematics and Computers in Simulation, 2022 - Elsevier
In this work, we propose and analyze nonstandard finite difference (NSFD) schemes for an
improved hepatitis B virus (HBV) model. Dynamical properties of the constructed NSFD …

Dynamically consistent nonstandard finite difference schemes for a virus-patch dynamic model

MT Hoang - Journal of Applied Mathematics and Computing, 2022 - Springer
The aim of this work is to formulate and analyze nonstandard finite difference (NSFD)
schemes for a recognized virus-patch dynamic model. We introduce a simple and efficient …

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 …

Stability and bifurcation in a single species logistic model with additive Allee effect and feedback control

Y Lv, L Chen, F Chen - Advances in Difference Equations, 2020 - Springer
In this paper, we propose a single species logistic model with feedback control and additive
Allee effect in the growth of species. The basic aim of the paper is to discuss how the …

Positive and elementary stable explicit nonstandard Runge-Kutta methods for a class of autonomous dynamical systems

QA Dang, MT Hoang - International Journal of Computer …, 2020 - Taylor & Francis
In this paper, we construct and analyze explicit nonstandard Runge-Kutta (ENRK) methods
which have higher accuracy order and preserve two important properties of autonomous …

Partial practical stability for fractional-order nonlinear systems

AB Makhlouf - Math. Methods Appl. Sci, 2022 - search.ebscohost.com
In this paper, stability analysis which ensures the convergence of a part of the solutions
towards a ball of a class of fractional‐order nonlinear systems is described. Using the …

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 …