4 papers
Delay Infectivity and Delay Recovery SIR model
Christopher N. Angstmann, Stuart-James M. Burney, Anna V. McGann +1
We have derived the governing equations for an SIR model with delay terms in both the infectivity and recovery of the disease. The equations are derived by modelling the dynamics a…
Exact Solutions of Time-Delay Integer- and Fractional-Order Advection Equations
Christopher N. Angstmann, Stuart-James M. Burney, Daniel S. Han +2
Transport phenomena play a vital role in various fields of science and engineering. In this work, exact solutions are derived for advection equations with integer- and fractional-o…
Finite Time Blowup of Integer- and Fractional-Order Time-Delayed Diffusion Equations
Christopher N. Angstmann, Stuart-James M. Burney, Daniel S. Han +3
In this work, exact solutions are derived for an integer- and fractional-order time-delayed diffusion equation with arbitrary initial conditions. The solutions are obtained using F…
A Stochastic Simulation Method for Fractional Order Compartment Models
Christopher N. Angstmann, Stuart-James M. Burney, Bruce I. Henry +3
Our study focuses on fractional order compartment models derived from underlying physical stochastic processes, providing a more physically grounded approach compared to models tha…