广义食物有限模型正解的稳定性

Stability of Positive Solution for Generalized "Food-Limited" Model

考虑广义“食物有限”模型N′(t) =r(t)N(t) 1 -N(t-τ)1 +λN(t-τ)α,t 0 ,其中r(t) >0在任何有限区间上可积 ,λ∈ [0 ,+∞ ) ,α>1为两奇数之比 ,获得保证方程每一正解N(t)趋于 1的若干充分条件 。

We consider the generalized 'Food limited' model N ′(t)=r(t)N(t)1-N(t-τ)1+λN(t-τ) α t0 Where r(t)>0 τ>0,λ∈[0,+∞),α1 is the ratio of two odd integers, we obtain the sufficient conditions that guarantee every positive solution of the model convergence to 1 as t tends to infinite. Some known results are improved and generated.[WT5FZ]