一类捕食-被捕食系统的周期解及其稳定性

Periodic Solution and Stability for a Class of Prey-Predator Systems

对一类四维捕食 被捕食复杂系统进行了研究 .运用Liapunov函数方法 ,研究了非线性系统的周期解及其稳定性 ,得到了四维捕食

This paper deals with a class of four-dimensional prey-predator complex systems. The periodic solution and stability for the nonlinear systems are studied by Liapunov function. The sufficient conditions for existence, uniqueness and asymptotic stability of the periodic solutions of four-dimensional prey-predator nonlinear systems are obtained.