Ratnasingham Shivaji: Population Dynamics with Diffusion
2008 HMC Mathematics Conference on Nonlinear Functional Analysis
Ratnasingham Shivaji (Mississippi State University)
We study the steady state distribution of reaction diffusion equations arising in population dynamics. In particular, we consider strong Allee effect type growth rates and constant yield harvesting in bounded habitats. Assuming the exterior of the habitat is completely hostile, we establish existence and multiplicity results for positive solutions. We obtain our results via the method of sub super solutions.