Fractional calculus provides a promising tool for modeling fractional dynamics in
computational biology, and this study tests the applicability of fractional-derivative equations …

In this study, a new discrete SI epidemic model is proposed and established from SI
fractional-order epidemic model. The existence conditions, the stability of the equilibrium …

The coronavirus disease 2019 (COVID-19) pandemic radically impacts our lives, while the
transmission/infection and recovery dynamics of COVID-19 remain obscure. A time …

We consider the linear degenerate parabolic equation∂ u∂ t-xa 0 (x, t)∂ 2 u∂ x 2+ a 1 (x,
t)∂ u∂ x+ a 2 (x, t) u= f (x, t) originated from pandemic dynamics modeling. Under suitable …

Although mean efficacy of multivalent pneumococcus vaccines has been intensively studied,
variance in vaccine efficacy (VE) has been overlooked. Different net individual protection …

In this paper, by applying a nonstandard finite difference scheme, we formulate a discretized
SIRVS epidemic model which takes into account vaccination. Under quite weak …

Ordinary differential equation models used in mathematical epidemiology assume explicitly
or implicitly large populations. For the study of infections in a hospital, this is an extremely …

This paper investigates an SIS epidemic model with variable population size including a
vaccination program. Dynamics of the endemic equilibrium of the model are obtained, and it …

Compartmental models are widely used in mathematical epidemiology to describe the
dynamics of infectious diseases or in mathematical models of population genetics. In this …

Two Itô stochastic differential equation (SDE) systems are constructed for a Susceptible-
Infected-Susceptible epidemic model with temporary vaccination. A constant number of new …