Periodic solutions of a delayed, periodic logistic equation
Consider the delay differential equation \[ {dN(t)\over dt}= N(t)[a(t)- b(t) N^p(t-\sigma(t))- c(t) N^q(t-\tau(t))],\tag{\(*\)} \] where \(a\), \(b\), \(c\), \(\tau\) are continuous \(\omega\)-periodic functions, \(p\) and \(q\) are positive constants. The author establishes the existence of a positive \(\omega\)-periodic solution of \((*)\) by using Mawhin's continuation theorem.
scientific article; zbMATH DE number 2073812