Browsing by Author "Hetzer, Georg"

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A-Stability For Two Species Competition Diffusion Systems

Nguyen, Tung (2006-08-15)

My dissertation research focuses on establishing the structural stability of the attractor ($\mathcal{A}$-stability) via Morse-Smale property for diffusive two-species competition systems \begin{equation} \label{abst ...

Differential geometry on matrix groups

Gan, Luyining (2020-03-20)

In this dissertation, we study the differential geometry of the matrix groups. In literatures, many authors proposed to compute matrix means using the geodesic distance defined by an invariant Riemannian metrics on the ...

Finitely Generated Modules Over Noncommutative Chain Rings

Scible, Greggory (2011-10-26)

The notion of a right chain ring, a ring whose lattice of right ideals is linearly ordered by inclusion, is a generalization of a valuation ring. In this work we investigate properties of right chain rings and the structure ...

Global existence, persistence, spreading speeds, and forced waves in chemotaxis models

Xue, Shuwen (2021-07-29)

Chemotaxis models are widely used to describe the movements of biological species or living organisms in response to certain chemicals in their environments. This dissertation is devoted to the study of various dynamical ...

Hopfield Neural Lattice Models

Usman, Basiru (2020-07-22) ETD File Embargoed

Hopfield neural network model is a continuous deterministic model proposed by John J. Hopfield in the early 1980’s. The model was proposed in an attempt to produced an artificial neural network architecture that mimic ...

A novel finite element discretization of domains with spheroidal geometry

Tuncer, Necibe (2007-05-15)

We describe and analyze a new finite element discretizations for domains with spheroidal geometry. In particular, we describe how the method can be used to approximate solutions as well as eigenvalues and eigenfunctions ...

Population Dynamic Modeling of the Corkscrew Sea Anemone Bartholomea Annulata on Caribbean Coral Reefs

Nelsen, Michael (2008-12-15)

The corkscrew anemone Bartholomea annulata is a large, common sea anemone on Caribbean coral reefs. The holobiont of B. annulata, endosymbiotic microalgae (zooxanthellae), and ectosymbiotic cleaner shrimps may have positive ...

Poroelasticity

Affane, Aji (2007-08-15)

Poroelasticity is the study of elastic deformation of porous materials saturated with a fluid and the coupling between the fluid pressure and the solid deformation. Considerable progress has been made in formulating ...

Some Systems of Ordinary Differential Equations from Cancer Modeling: Qualitative Analysis and Optimal Treatment

Wan, Xiang (2011-07-25)

In this thesis, we study four systems of ordinary differential equations, which model the interrelationships between different cell populations while tumor cells exist, and treatments, such as immunotherapy, chemotherapy, ...

Stochastic Differential Equations: A Dynamical Systems Approach

Hollingsworth, Blane (2008-05-15)

The relatively new subject of stochastic differential equations has increasing impor- tance in both theory and applications. The subject draws upon two main sources, prob- ability/stochastic processes and differential ...