Saturday, August 12

MS40
Steady States of Reaction-Diffusion Systems

10:00 AM-12:00 PM
Anthurium & Ginger (Salon 1 & 2)

Reaction-diffusion equations and systems have been used to model population growth under human harvesting, examples include the diffusive logistic model with harvesting term, predator-prey models and other reaction-diffusion systems with semipositone structure. The existence and stability of steady state solutions of such systems are essential when controlling the harvesting level in order to avoid the extinction of natural resource. The speakers will discuss bifurcations of steady state solutions with harvesting level as parameter.

Organizers: Maya Chhetri
University of North Carolina, Greensboro, USA
Junping Shi
Tulane University, USA
10:00-10:25 Survey on Semipositone Systems
Ratnasingham Shivaji, Mississippi State University, USA
10:30-10:55 Exact Multiplicity of Solutions for a Class of Semilinear Neumann Problems
Philip Korman, University of Cincinnati, USA
11:00-11:25 On a Simple ODE and Related Curve Shortening Flows
Juncheng Wei, Chinese University of Hong Kong, China
11:30-11:55 Existence and Nonexistence Results for Classes of p-Laplacian Semipositone Systems
Maya Chhetri, Organizer
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