In the new and sophisticated cyber attacks (mainly, advanced persistent threats) the advanced specimens of malware such that zero-day malware play a crucial role. Due to its …
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 …
MT Hoang, M Ehrhardt - Journal of Computational and Applied …, 2024 - Elsevier
In this paper, we consider a general Rosenzweig–MacArthur predator–prey model with logistic intrinsic growth of the prey population. We develop the Mickens' method to construct …
MT Hoang - International Journal of Computer Mathematics, 2023 - Taylor & Francis
In this paper, we extend the Mickens' methodology to construct a second-order nonstandard finite difference (NSFD) method, which preserves dynamical properties including positivity …
Mathematical epidemiology has a long history of origin and development. In particular, mathematical modeling and analysis of infectious diseases has become a fundamental and …
MT Hoang - Computational and Applied Mathematics, 2023 - Springer
In a recent work (Hoang in Math Comput Simul 199: 359–373, 2022), a class of nonstandard finite difference (NSFD) schemes preserving the positivity and boundedness of the nonlinear …
In this paper, a short review of the calculus of exact finite-differences of integer order is proposed. The finite-difference operators are called the exact finite-differences of integer …
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 …
MT Hoang - Communications in Nonlinear Science and Numerical …, 2022 - Elsevier
In this work, a novel second-order nonstandard finite difference (NSFD) method that preserves simultaneously the positivity and local asymptotic stability of one-dimensional …