Abstract Since Kermack and McKendrick have introduced their famous epidemiological SIR
model in 1927, mathematical epidemiology has grown as an interdisciplinary research …

In this paper we consider a non-standard discretization to a Volterra integro-differential
system which includes a number of age-of-infection models in the literature. The aim is to …

In this work, we propose a new non-standard finite-difference-method for the numerical
solution of the time-continuous non-autonomous susceptible-infected-recovered model. For …

We consider two systems of nonlinear first‐order ordinary differential equations proposed to
describe Ca 2+‐levels in renal vascular smooth muscle cells and in liver cells. Initially, we …

Estimating the COVID‐19 infection fatality rate, inferring the latent incidence and predicting
the future epidemic evolution are critical to public health surveillance, but often challenging …

In this paper, we extend existing population growth models and propose a model based on
a nonlinear cubic differential equation that reveals itself as a special subclass of Abel …

In this article, we reconsider the classical target cell limited dynamical within-host HIV model,
solely taking into account the interaction between CD4+ T cells and virus particles. First, we …

We know that the exact solutions for most of stochastic age-structured capital systems are
difficult to find. The numerical approximation method becomes an important tool to study …

In this article, we consider the numerical approximation of dynamics of calcium ion
concentrations in liver cells by a non‐linear first‐order system of ordinary differential …

In this work, we combine two different existing two-compartmental models of ethanol
metabolism and propose a non-linear three-compartmental model of ethanol metabolism in …