In this paper we discuss reaction-diffusion equations arising in population dynamics with constant yield harvesting in one dimension. We focus on the mathematical models of the logistic growth, the strong Allee effect, and the weak Allee effect and their influence on the existence of positive steady states as well as global bifurcation diagrams. We analyze the equations using the quadrature method and the method of sub-super solutions.
Ratnasingham Shivaji, W.L.Giles Distinguished Professor, Dept. of Mathematics and Statistics, Mississippi State University,Mississippi State, MS 39762,USA. email@example.com
Collins, A.; Gilliland, M.; Henderson, C.; Koone, S.; McFerrin, L.; and Wampler, E. K.
"Population Models with Diffusion and Constant Yield Harvesting,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 5
, Article 2.
Available at: http://scholar.rose-hulman.edu/rhumj/vol5/iss2/2