Nicholson's blowflies differential equations revisited: Main results and open problems

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Map dynamics versus dynamics of associated delay reaction–diffusion equations with a Neumann condition (2010, background): “…(1.2), the global dynamics can be summarized as given below (e.g. Kuang 1993; Cooke et al. 1999; Györi & Trofimchuk 1999; Wei & Li 2005; Faria 2006; Berezansky et al. 2010) (i) when 0 < b/d ≤ 1, u = 0 is the only equilibrium of equation (1.2) that is globally asymptotically stable for any t ≥ 0;…”
Stability of Almost Periodic Nicholson’s Blowflies Model Involving Patch Structure and Mortality Terms (2019, unknown): “Here, the information on the delay and coefficient functions presented in (1.1) and (1.2) can found in [1,2,20,23] and the references cited therein.”
Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term (2019, background): “1 in [21], we can prove that x∗(t) is a positive almost periodic solution of (1.”
Global exponential convergence in a delayed almost periodic Nicholson's blowflies model with discontinuous harvesting (2018, background): “17 Consider the following nonautonomous equation, dx dt = f (t, x(t)), (6)”