A class of autonomous systems of three ordinary differential equations with a unique equilibrium is studied. By using the Kamke Lemma and Hirsch Lemma, the solution of the system is found either to tend to the equilibrium or is unbounded. This result extends that of Cohen and Levine and solves the solution nature of a time-delay prey-predator model proposed by MacDonald. Copyright © 1995 Fuzhou University.
|Journal||Annals of Differential Equations|
|Publication status||Published - 1995|