One and three limit cycles in a cubic predator-prey system

摘要

A cubic differential system is proposed, which can be considered a generalization of the predator-prey models, studied recently by many authors. The properties of the equilibrium points, the existence of a uniqueness limit cycle, and the conditions for three limit cycles are investigated. The criterion is easy to apply in applications. Copyright (C) 2006 John Wiley & Sons, Ltd.