Professor Jeff Morgan
Teaching: ·
Fall 2022: Online Math 4364 and Online Math 5344 ·
Spring 2022: Online Math 4364 and Online Math 5344 · Fall 2021: Online Math 2318 (formerly 2331). ·
Spring 2021: Online Math 5386. ·
Fall 2020: Online Math 4335 and
5397. ·
Previous Semesters: Math 1431
(Calculus I), Math 1432
(Calculus II), Online Math 3321
(Engineering Math), 2331, 4335, 4339, 4364, 4377, 5341, 5344, 5385, 5386,
6308, ... Projects
and Positions:
Research Interests: Reaction-Diffusion
Systems and Mathematical Biology. Google Scholar list of publications. Selected
Work since 2016: ·
Global existence for
reaction-diffusion systems on multiple domains, with William E. Fitzgibbon
and John Maurice-Car Ryan, https://arxiv.org/abs/2206.09794, June
2022. ·
A Diffusive SEIR Model for Community
Transmission of Covid-19 Epidemics: Application to Brazil, with W.E.
Fitzgibbon, Glenn F. Webb and Yixiang Wu, accepted to Mathematics in Applied
Sciences and Engineering, November 2021. ·
Reaction-Diffusion-Advection Systems
With Discontinuous Diffusion and Mass Control, with W.E. Fitzgibbon, Bao QuocTang and Hong-Ming Yin, http://arxiv.org/abs/2103.16863 Accepted to
SIAM Math Analysis, September 2021. ·
Global Well-posedness
For Volume-Surface Reaction-Diffusion Systems, with Bao Quoc Tang, preprint, http://arxiv.org/abs/2101.07982
, accepted to Communications in Contemporary Mathematics, December 2021. ·
New Insights into a Pandemic SIR
Model for Control and Public Health Intervention, with Enrique Barbieri and
William E. Fitzgibbon, submitted December 2020. ·
Global well-posedness
and nonlinear stability of a chemotaxis system modeling multiple sclerosis,
with Laurent Desvillettes, Valeria Giunta and Bao
Quoc Tang, https://www.doi.org/10.1017/prm.2021.33, Proc. A Royal Soc. Edinburgh,
October 2020. Accepted July 2021. · Uniform Boundedness for Reaction-Diffusion Systems with Mass Dissipation, with B.P. Cupps and Bao Quoc Tang, SIAM J. Math. Anal., 53(1), 2021, 323–350. · Analysis of a Reaction-Diffusion Epidemic Model with Asymptomatic Transmission, with W.E. Fitzgibbon, G.F. Webb and Y. Wu, Journal of Biological Systems, Vol. 28, No. 3 (2020), 561-587. · Predicting the end-stage of the COVID-19 epidemic in Brazil, with W.E. Fitzgibbon, G.F. Webb and Y. Wu, medRxiv, May 28, 2020. · Indirect Diffusion Effect in Degenerate Reaction-Diffusion Systems, with Amit Einav and Bao Quoc Tang, Accepted to SIAM Math Anal., April 2020. ·
A Coupled System Modelling the Aqueous Transport
of an Infectious Pathogen to Regional Communities, with W.E. Fitzgibbon, G.F.
Webb and Y. Wu, Accepted to Journal of the Royal Society Interface, July
2020. ·
Maritime Transport and the Threat of
Bio Invasion and the Spread of Infectious Disease, with W.E.
Fitzgibbon, G.F. Webb and Y. Wu, in Computation and Big Data for
Transport, Digital Innovations in Surface and Air Transport Systems,
Editors: P. Diez, P. Neittaanmäki, J. Periaux, T. Tuovinen, J.
Pons-Prats, Springer 2020. ·
Boundedness for reaction-diffusion
systems with Lyapunov functions and intermediate sum conditions, with Bao
Quoc Tang, Accepted to Nonlinearity, April 2020. ·
Global Existence of Solutions to
Volume-Surface Reaction-Diffusion Systems with Dynamic Boundary Conditions,
with V. Sharma, Differential and Integral Equations, Volume 33, Number 3-4
(2020), 113-138. ·
Uniform-in-time Bounds for Quadratic
Reaction-Diffusion Systems with Mass Dissipation in Higher Dimensions, with Klemens Fellner and Bao Quoc
Tang, Discrete and Continuous Dynamical Systems Series S, Vol
14, Number 2, February 2021, 635-651. · Global Classical Solutions to Quadratic Systems with Mass Control in Arbitrary Dimensions, with Klemens Fellner and Bao Quoc Tang, Annales de l'Institut Henri Poincaré, Volume 37, Issue 2, March-April 2020, 281-307. ·
Spatial Models of Vector-Host
Epidemics with Directed Movement of Vectors Over Long Distances, with W.E.
Fitzgibbon, G.F. Webb and Y. Wu, 2019, Mathematical biosciences 312, 77-87. ·
Analysis of a Reaction Diffusion
Model for a Reservoir Supported Spread of Infectious Disease, with W.E.
Fitzgibbon, Discrete and Continuous Dynamical Systems-B, November 2019 (11),
6239-6259. ·
A Vector-Host Epidemic Model with
Spatial Structure and Age of Infection, with W.E. Fitzgibbon, G.F. Webb and
Y. Wu, 2018, Nonlinear Analysis: Real World Applications 41, 692-705. ·
An Outbreak Vector-host Epidemic
Model with Spatial Structure: The 2015 Zika Outbreak in Rio de Janeiro, with
W.E. Fitzgibbon and G.F. Webb, 2017, Theoretical Biology and Medical
Modelling 14 (1), 7. ·
Uniform Bounds for Solutions to
Volume-Surface Reaction Diffusion Systems, with V. Sharma, 2017, Differential
and Integral Equations 30 (5/6), 423-442. ·
Finite Element Approximation of a
Spatially Structured Metapopulation with PDE Model, with Marcus R. Garvie and V. Sharma, Computers & Mathematics and
Applications, Vol, 74, No. 5, 2017, 934-947. ·
Global Existence of Solutions to
Reaction Diffusion Systems with Mass Transport Type Boundary Conditions, with
V. Sharma, 2016, SIAM Journal on Mathematical Analysis 48 (6), 4202-4240. |