Zobrazeno 1 - 10
of 217
pro vyhledávání: '"Stuart, James M"'
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 as a continuous time random walk, where individuals move between the cl
Externí odkaz:
http://arxiv.org/abs/2406.18107
Autor:
Angstmann, Christopher N., Burney, Stuart-James M., Han, Daniel S., Henry, Bruce I., Huang, Boris Z., Xu, Zhuang
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 Fourier transform methods in conjunction with the known properties of d
Externí odkaz:
http://arxiv.org/abs/2406.08777
Autor:
Angstmann, Christopher N., Burney, Stuart-James M., Han, Daniel S., Henry, Bruce I., Xu, Zhuang
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-order time derivatives and a constant time-delay in the spatial derivat
Externí odkaz:
http://arxiv.org/abs/2406.00897
Autor:
Angstmann, Christopher N., Burney, Stuart-James M., Henry, Bruce I., Han, Daniel S., Jacobs, Byron A., Xu, Zhuang
Our study focuses on fractional order compartment models derived from underlying physical stochastic processes, providing a more physically grounded approach compared to models that use the dynamical system approach by simply replacing integer-order
Externí odkaz:
http://arxiv.org/abs/2312.05268
Autor:
Angstmann, Christopher N.1 (AUTHOR) c.angstmann@unsw.edu.au, Burney, Stuart-James M.1 (AUTHOR) sj.burney@unsw.edu.au, Henry, Bruce I.1 (AUTHOR) b.henry@unsw.edu.au, Jacobs, Byron A.2 (AUTHOR), Xu, Zhuang1 (AUTHOR)
Publikováno v:
Mathematics (2227-7390). Nov2023, Vol. 11 Issue 21, p4526. 34p.
Publikováno v:
Mathematics, Vol 11, Iss 21, p 4526 (2023)
We present a systematic introduction to a class of functions that provide fundamental solutions for autonomous linear integer-order and fractional-order delay differential equations. These functions, referred to as delay functions, are defined throug
Externí odkaz:
https://doaj.org/article/59dee4d0a6c84986b9f0241fe30710d2
Publikováno v:
In Journal of Infection May 2021 82(5):135-144
Autor:
ZHUANG XU, ANGSTMANN, CHRISTOPHER N., HAN, DANIEL, HENRY, BRUCE I., BURNEY, STUART-JAMES M., JACOBS, BYRON A.
Publikováno v:
SIAM Journal on Applied Mathematics; 2024, Vol. 84 Issue 5, p2132-2151, 20p
Publikováno v:
Fractal and Fractional, Vol 6, Iss 8, p 436 (2022)
Motivated by the recent interest in generalized fractional order operators and their applications, we consider some classes of integro-differential initial value problems based on derivatives of the Riemann–Liouville and Caputo form, but with non-s
Externí odkaz:
https://doaj.org/article/6334ea6358c548b687287bf44ebc819e
Autor:
Angstmann, Christopher N.1 (AUTHOR) c.angstmann@unsw.edu.au, Burney, Stuart-James M.1 (AUTHOR), Henry, Bruce I.1 (AUTHOR), Jacobs, Byron A.2 (AUTHOR)
Publikováno v:
Fractal & Fractional. Aug2022, Vol. 6 Issue 8, p436-N.PAG. 16p.