22 citations · 22 across the 10 of their papers we have counts for
13 papers
Global Well-Posedness and Asymptotic Behavior for a Reaction-Diffusion System of Competition Type
Jeffrey Morgan, Samia Zermani
We analyze a reaction-diffusion system describing the growth of microbial species in a model of flocculation type that arises in biology. Existence of global classical positive sol…
Global existence for reaction-diffusion systems on multiple domains
William E. Fitzgibbon, Jeff Morgan, Joh Maurice-Car Ryan
We study the global existence of solutions reaction-diffusion systems with control of mass on multiple domains. Some of these domains overlap, and as a result, an unknown defined o…
Reaction-Diffusion-Advection Systems with Discontinuous Diffusion and Mass Control
William E Fitzgibbon, Jeff Morgan, Bao Quoc Tang +1
In this paper, we study unique, globally defined uniformly bounded weak solutions for a class of semilinear reaction-diffusion-advection systems. The coefficients of the differenti…
Global well-posedness for volume-surface reaction-diffusion systems
Jeff Morgan, Bao Quoc Tang
We study the global existence of classical solutions to volume-surface reaction-diffusion systems with control of mass. Such systems appear naturally from modeling evolution of con…
Global well-posedness and nonlinear stability of a chemotaxis system modeling multiple sclerosis
Laurent Desvillettes, Valeria Giunta, Jeff Morgan +1
We consider a system of reaction-diffusion equations including chemotaxis terms and coming out of the modeling of multiple sclerosis. The global existence of strong solutions to th…
Indirect diffusion effect in degenerate reaction-diffusion systems
Amit Einav, Jeff Morgan, Bao Quoc Tang
In this work we study global well-posedness and large time behaviour for a typical reaction--diffusion system, which include degenerate diffusion, and whose non-linearities arise f…
Boundedness for reaction-diffusion systems with Lyapunov functions and intermediate sum conditions
Jeff Morgan, Bao Quoc Tang
We study the uniform boundedness of solutions to reaction-diffusion systems possessing a Lyapunov-like function and satisfying an {\it intermediate sum condition}. This significant…
Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions
Klemens Fellner, Jeff Morgan, Bao Quoc Tang
Uniform-in-time bounds of nonnegative classical solutions to reaction-diffusion systems in all space dimension are proved. The systems are assumed to dissipate the total mass and t…
Uniform boundedness for reaction-diffusion systems with mass dissipation
Brian P. Cupps, Jeff Morgan, Bao Quoc Tang
We study the global existence and uniform-in-time bounds of classical solutions in all dimensions to reaction-diffusion systems dissipating mass. By utilizing the duality method an…
Global classical solutions to quadratic systems with mass control in arbitrary dimensions
Klemens Fellner, Jeff Morgan, Bao Quoc Tang
The global existence of classical solutions to reaction-diffusion systems in arbitrary space dimensions is studied. The nonlinearities are assumed to be quasi-positive, to have (sl…
A Vector-Host Epidemic Model with Spatial Structure and Age of Infection
William E. Fitzgibbon, Jeffrey J. Morgan, Glenn F. Webb +1
In this paper we study a diffusive age structured epidemic model with disease transmission between vector and host populations. The dynamics of the populations are described by rea…
Uniform Bounds for Solutions to Volume-Surface Reaction Diffusion Systems
Vandana Sharma, Jeff Morgan
We consider a reaction-diffusion system where some components react and diffuse on the boundary of a region, while other components diffuse in the interior and react with those on…
Global Existence of Solutions to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions
Vandana Sharma, Jeff Morgan
We consider a reaction-diffusion system where some components react and diffuse on the boundary of a region, while other components diffuse in the interior and react with those on…