Professor Jeff Morgan
Fall 2019: Online Math 4339 and Online Math 5385. After August 16, create an account at https://www.space.uh.edu, and select your course. Previous
Semesters: Math 1431 (Calculus I), Math 1432 (Calculus II), Online Math 3321 (Engineering Math), 2331,
4364, 4377, 5341, 5344, 6308, ... Projects and Positions:
Research Interests: Chemical
reaction-diffusion systems and mathematical biology. Selected Work from 2016 to present: ·
Uniform-in-time bounds for quadratic
reaction-diffusion systems with mass dissipation in higher dimensions, with Klemens Fellner and Bao Quoc
Tang, accepted fall 2019, to appear in Discrete and Continuous
Dynamical Systems Series S. ·
Global classical solutions to quadratic systems with
mass control in arbitrary dimensions, with Klemens Fellner and Bao Quoc Tang, accepted fall 2019, to appear
in Annales de l'Institut Henri Poincaré. ·
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. ·
Uniform boundedness for
reaction-diffusion systems with mass dissipation, with B.P. Cupps and Bao Quoc Trang, submitted. ·
Global existence of solutions to
volume-surface reaction diffusion systems with dynamic boundary conditions,
with V. Sharma, submitted. ·
Analysis of a Reaction Diffusion
Model for a Reservoir Supported Spread of Infectious Disease, with W.E.
Fitzgibbon, accepted summer 2019, to appear in Discrete and Continuous Dynamical
Systems. ·
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. ·
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. |