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

Abstract

"In this paper, a first-order iterative functional differential equation is investigated. With the help of the Schauder’s fixed point theorem, we established some sufficient criteria that ensure the existence of positive periodic solutions. In addition, an application to three hematopoiesis models is also provided to corroborate the effeteness of our main findings. These last ones substantially enrich and complement some earlier works."

تذبذب نموذج تكون الدم النبضي مع معاملات موجبة وسالبة

“…Many authors looked for sufficient conditions to ensure oscillatory property for different differential equations. As a result, they established a lot of papers for oscillatory theory for ordinary [8][9][10][11] and delay differential equations [12][13][14][15] The oscillation criteria of various IDE, including super-half-linear IDE, halflinear impulsive differential equations, and mixed nonlinear differential equations, were obtained by researchers Ozbekler and Zafer, who published the impulsive differential equations as well 16 . The methodology for analyzing impulsive differential equations were supplied by Agarwal, Karakoc, and Zafer, who also offered a summary of various findings on the oscillation of IDE up to 2010 (see 7, Published Online First: December, 2023 https://dx.doi.org/10.21123/bsj.2023.8796 P-ISSN: 2078-8665 -E-ISSN: 2411-7986 Baghdad Science Journal ecological and biological dynamical systems.…”

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].…”