In this paper,the author considers the asymptotic stability in a class single species dynamics model of the form N(t)=N(t)[a+βN(t一t1)-rNt(t—t2)],(1) where β∈R, a、r∈(0,∞),t1,t2∈ L0,∞),and the author obtained sufficient condition for positive constant equilibrlum N of(1) is asymptotically stable.
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