Global attractivity for a differential-difference population model (Q2723220)

Here, the following delay differential equation NEWLINE\[NEWLINEN'(t)=r(t)N(t) \Biggl(\frac{1-N(t-\tau)}{1+\lambda(t)N(t-\tau)} \Biggr)^\alpha, \quad t\geq 0,NEWLINE\]NEWLINE with \(r(t), \lambda(t)\in C([0,\infty), (0,\infty))\), \(\tau>0\) and \(\alpha\) is a ratio of two odd integers so that \(\alpha\geq 1\), is studied. Sufficient conditions which guarantee the global attractivity of the positive equilibrium of the above equation are obtained.