带有扩散的Logistic时滞生态模型的振动性

OSCILLATION OF DELAY--LOGISTIC EQUATION WITH DIFFUSION

本文研究了带有扩散的Logistic时滞生态模型的振动性。通过利用极值原理和上、下解方法，给出了系统所有解振动的充分条件，该结果显著地改进并推广了Gopalsamy，Zhang和Wei等人的结果。

Sufficient conditions are obtained by using maximum principle and super and lower solution for delay logistic equation with diffusion to be oscillatory about a positive steady state. The result obtained extends and improves the conclusions of Zhang,Gopalsamy and Wei.