In this paper, we establish a new fractional order SIS (frSIS) model by way of continuous
time random walk. The value of this study lies in two aspects. Mathematically, we provide a …

In the last decade, hundreds of papers have been published on fractional modeling. The
approach is often similar, with the motivation of incorporating a “memory effect”: take the …

This study introduces a SIR (Susceptible-Infectious-Recovered) model using fractional
derivatives to assess the population's hesitancy to the COVID-19 vaccination campaign in …

This work studies the SIS model extended by fractional and fractal derivatives. We obtain
explicit solutions for the standard and fractal formulations; for the fractional case, we study …

Evolution equations with convolution-type integral operators have a history of study, yet a
gap exists in the literature regarding the link between certain convolution kernels and new …

The beauty and simplicity of compartment modeling makes it a useful approach for
simulating dynamics in an amazingly wide range of applications, which are growing rapidly …

We introduce a persistent random walk model for the stochastic transport of particles
involving self-reinforcement and a rest state with Mittag–Leffler distributed residence times …

The response of a cell population is often delayed relative to drug injection, and individual
cells in a population of cells have a specific age distribution. The application of transit …

A random differential equation, or stochastic differential equation with parametric
uncertainty, is a classical differential equation whose input values (coefficients, initial …

Meta-population networks are effective tools for capturing population movement across
distinct regions, but the assumption of well-mixed regions fails to capture the reality of …