一类具有非线性物种密度制约死亡率的Nicholson模型解的性态

Dynamics of a Nicholson's Model with a Nonlinear Density-dependent Mortality Term

本文利用分析不等式方法来研究Berezansky等人在2010年提出的公开问题之一:一类具有非线性物种密度制约死亡率的Nicholson模型的解的有界性、稳定性和振动性。通过这个方法证明了这个模型解的有界性、振动性,并部分解决了解的稳定性。

By using the method of analysis inequality ,this paper mainly deals with the open problem provided by Berezansky et al. The boundedness and oscillations of the solutions for this Nicholson＇s model with a nonlinear density-dependent mortality term are investigated,and the stability of the solutions for this model is solved partially.