Oscillation and global attractivity in a periodic Nicholson's blowflies model (Q1609406): Difference between revisions

Here, the authors consider the following nonlinear delay differential equation \[ N'(t)=-\delta N(t)+P(t)N(t-m\omega)e^{-\alpha N(t-n\omega)},\tag{*} \] where \(m\) is a positive integer, \(\delta(t)\) and \(P(t)\) are positive \(\omega\)-periodic functions. In the non-delay case, they show that equation (*) has a unique positive periodic solution and provide sufficient conditions for their global attractivity. In the delay case, they provide sufficient conditions for the oscillation of all positive solutions.