Abstract:

Sufficient conditions are presented for the asymptotic behavior of all positive solutions of the multiplicative delay Logistic equation
((dN(t))/dt)=r(t)N(t)(1-Π_j=1^m(N(gj(t))/K))
about the positive equilibrium K. The case when r(t)=r and gj(t)=t-τ_j or gj(t)=[t-k_j],[·] denoting the greatest integer function,where r, τ_j and k_j are positive constants, j=1, 2,… m, ale also included.

Key words: Global attractivity, multiplicative delay, Logistic equation