一类种群动力系统的全局吸引性(英文)

Global Attractivity In A Population Dynamics System

考虑时滞微分方程N· (t) =-μN(t) +P1 e-rN(t-τ1 ) -P2 e-rN(t-τ2 ) ,t≥ 0 . ( 1)P2 =0 时 ,方程 ( 1)被Wazewska Czyzewska与Lasota与作动物红血球生存模型 .给出方程 ( 1)正平衡点全局吸引的充分条件 .

Consider the delay differential equation N·(t)=-μN(t)+P 1e -rN(t-τ 1) -P 2e -rN(t-τ 2) ,t≥0?(1) For P 2=0 ,equation(1) was used by Wazewska-Czyzewska and Lasota as a model for the survial of red-blood cells in an animal.In this paper,we establish sufficient conditions for the global attractivity of the positive equilibrium of equation(1).