In this paper, we review many recent developments and further applications of nonstandard
finite difference (NSFD) methods encountered in the past decade. In particular, it is a follow …

In this paper we construct nonstandard finite difference (NSFD) schemes to obtain numerical
solutions of the susceptible–infected (SI) and susceptible–infected–recovered (SIR) …

In a coupled network system, information can be sourced and disseminated in many ways.
In this study, we investigate the diffusion effect of information in a coupled social network …

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 this article, a diffusion component in an SIR model is introduced, and its impact is
analyzed using fractional calculus. We have included the diffusion component in the SIR …

In this paper, the two biological models ie Nitrogen, Phytoplankton and Zooplankton (NPZ)
and whooping cough SIR models (Charpentier et al., 2010) are being modified and solved …

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 …

Purpose In the digital economy era, digital platforms are vital infrastructure for innovation
subjects to perform digital innovation activities. Achieving efficient and smooth knowledge …

Hyper-chaotic systems have useful applications in engineering applications due to their
complex dynamics and high sensitivity. This research is supposed to introduce and analyze …