Article ID Journal Published Year Pages File Type
4622958 Journal of Mathematical Analysis and Applications 2007 10 Pages PDF
Abstract

We investigate the global character of solutions of the equation in the title with positive parameters and with arbitrary nonnegative initial conditions. In particular we show that every solution of the equation is bounded. We find necessary and sufficient conditions for the global asymptotic stability of the zero equilibrium. We also investigate the positive equilibrium and find regions of parameters where the positive equilibrium is a global attractor of all positive solutions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis