一类时滞微分方程的全局吸引性

Global Attractivity in a Delay Differential Equation

考虑时滞微分方程x′(t)=x(t)r(t)[a-bxp(t-τ)-cxq(t-τ)],其中a>0,b>0,q>p>0,τ>0,r(t)∈C[(0,∞),(0,∞)],获得方程的正解全局吸引的条件.

The aim of this paper is to condisere a Delay Differential Equations x′(t)=x(t)r(t)[1-bx^p(t-τ)-cx^q(t-τ)],where a>0,b>0,q>p>0,τ>0,r(t)∈C[(0,∞),(0,∞)],and obtained Sufficient conditions for the global attractivity of all positive solutions of aclass of equations.