Research
Our research interests are in steady state reaction diffusion equations and systems that arise in nonlinear heat generation, combustion theory, chemical reactor theory and population dynamics. In particular, we are interested in existence, multiplicity, uniqueness and bifurcation results for positive steady states for various classes of reactions processes.
Pattern formation in fish is governed by processes which can be described using bifurcation theory.
Reaction-diffusion equations can be used to model many problems in combustion theory.
Population Dynamics Lecture
Uniqueness Result For Class Of Non Nonlinear Elliptic Boundary Value Problem
As part of a NSF-funded study "Mathematical and Experimental Analysis of Ecological Models: Patches, Landscapes and Conditional Dispersal on the Boundary," we study the existence and multiplicity of solutions to
Figure 1: Pattern formation in fish is governed by processes which can be described using bifurcation theory.
Figure 2: Reaction-diffusion equations can be used to model many problems in combustion theory.
(a) An example of U-shaped density dependent dispersal.
(b) The blue footed booby has been shown to exhibit both positive and negative density dependent dispersal depending on population density.