Periodic solutions in periodic state-dependent delay equations and population models

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Nicholson's blowflies differential equations revisited: Main results and open problems (2010, methodology): “The main method used in [21,23,35–40] is the upper-lower solution method where the existence of at least one positive periodic solution is obtained by constructing a pair of upper and lower solutions and application of a fixed point theorem in cones.”
Periodicity of scalar dynamic equations and applications to population models (2007, background): “7) reduce to the well-known continuous or discrete time nonautonomous logistic equation with several deviating arguments [5,12,16], multiplicative logistic type equation with several deviating arguments [9,10,15–17], generalized food-limited population model with deviating argument [4–6], Michaelis–”
Global Hopf bifurcation for differential equations with state-dependent delay (2010, background): “See [3,7,23,26–31,34–36,39–41,43] for other relevant studies on periodic solutions of state-dependent delay differential equations.”
DELAY DIFFERENTIAL EQUATIONS IN SINGLE SPECIES DYNAMICS (2006, background): “…of two dimensional attractors; to Louihi et al. (2002) for semigroup property of the solutions; to Bartha (2001) and Chen (2003) for convergence of solutions, and to Ait Dads and Ezzinbi (2002) and Li and Kuang (2001) for almost periodic and periodic solutions to state-dependent delay equations.”