A two species commensal symbiosis model with Holling type functional response takes the formis investigated, where a i , b i , i = 1, 2, p and c 1 are all positive constants, p ≥ 1. Local and global stability property of the equilibria is investigated. We also show that depending on the ratio of a 2 b 2 , the first component of the positive equilibrium x

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Sufficient conditions are obtained for the permanence of the following nonlinear mutualism model with time varying delay dN 1 (t) dt = r 1 (t)N 1 (t) K 1 (t) + α 1 (t)N β 1 2 (t − τ 2 (t)) 1 + N β 1 2 (t − τ 2 (t)) − N δ 1 1 (t − σ 1 (t)) , dN 2 (t) dt = r 2 (t)N 2 (t) K 2 (t) + α 2 (t)N β 2 1 (t − τ 1 (t)) 1 + N β 2 1 (t − τ 1 (t) − N δ 2 2 (t − σ 2 (t)) ,

In this paper, we revisit the stability property of the boundary equilibrium of a May cooperative system with strong and weak cooperative partners. Our result essentially improves the corresponding result of Zhao et al.

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