119 citations · 254 across the 6 of their papers we have counts for
8 papers
Delay compartment models from a stochastic process
Christopher N. Angstmann, Anna V. McGann, Zhuang Xu
Compartment models with delay terms are widely used across a range of disciplines. The motivation to include delay terms varies across different contexts. In epidemiological and ph…
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…
Reaction-diffusion and reaction-subdiffusion equations on arbitrarily evolving domains
E. Abad, C. N. Angstmann, B. I. Henry +3
Reaction-diffusion equations are widely used as the governing evolution equations for modeling many physical, chemical, and biological processes. Here we derive reaction-diffusion…
Generalised fractional diffusion equations for subdiffusion on arbitrarily growing domains
C. N. Angstmann, B. I. Henry, A. V. McGann
Many physical phenomena occur on domains that grow in time. When the timescales of the phenomena and domain growth are comparable, models must include the dynamics of the domain. A…
Numeric Solution of Advection-Diffusion Equations by a Discrete Time Random Walk Scheme
Christopher. N. Angstmann, Bruce I. Henry, Byron A. Jacobs +1
Explicit numerical finite difference schemes for partial differential equations are well known to be easy to implement but they are particularly problematic for solving equations w…
Discretization of Fractional Differential Equations by a Piecewise Constant Approximation
Christopher N Angstmann, Bruce I Henry, Anna V McGann
There has recently been considerable interest in using a nonstandard piecewise approximation to formulate fractional order differential equations as difference equations that descr…
A Fractional-Order Infectivity SIR Model
Christopher N Angstmann, Bruce I Henry, Anna V McGann
Fractional-order SIR models have become increasingly popular in the literature in recent years, however unlike the standard SIR model, they often lack a derivation from an underlyi…
A fractional order recovery SIR model from a stochastic process
C. N. Angstmann, B. I. Henry, A. V. McGann
Over the past several decades there has been a proliferation of epidemiological models with ordinary derivatives replaced by fractional derivatives in an an-hoc manner. These model…