Abstract Corona virus disease (Covid-19) which has caused frustration in the human
community remains the concern of the globe as every government struggles to defeat the …

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 …

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 …

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 …

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 …

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 …

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 …

In this work, a novel second-order nonstandard finite difference (NSFD) method that
preserves simultaneously the positivity and local asymptotic stability of one-dimensional …