Positive periodic solutions for revisited Nicholson's blowflies equation with iterative harvesting term

"Positive periodic solutions for a class of first-order iterative differential equations with an application to a hematopoiesis model"

“…(3) Our results are applicable to different models, such as insect population dynamics models. So they can be regarded as a generalisation of our work [7] and references cited therein.…”

“…Very recently, some authors have sought to deal with these equations. For instance, concerning first-order iterative differential equations, the author of this article and her co-author R. Khemis [7] discussed the existence of solutions for a first order delayed differential equation with an iterative source term that modelizes the evolution of an insect population, M. Fečkan and al. [10] recently studied the maximal and minimal nondecreasing bounded solutions for a first order iterative differential equation.…”

Periodicity, stability, and synchronization of solutions of hybrid coupled dynamic equations with multiple delays

“…In another work, Alzabut [15] proves the existence and exponential stability of a positive almost periodic solution for an impulsive delay in Nicholson's blowflies model by using the contraction mapping principle and Gronwall-Bellman's inequality. For more such work, we refer to [16][17][18][19][20][21][22][23]. On the other hand, it has been found that the discrete-time models governed by difference equations are more appropriate than the continuous models when the populations have non-overlapping generations.…”

Existence, uniqueness and stability of solutions to a delay hematopoiesis model

“…For detailed information about such equations and their emerging theory we refer the reader to [1][2][3][4][5][6][7][8][9][10][11][12], [14][15][16][17].…”