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AIMS Mathematics

2020, Volume 5, Issue 6: 7372-7386. doi: 10.3934/math.2020472
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Research article

Positive periodic solution of first-order neutral differential equation with infinite distributed delay and applications

  • School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China
  • Received: 30 June 2020 Accepted: 08 September 2020 Published: 18 September 2020

  • MSC : 34C25

  • In this paper, we consider first-order neutral differential equation with infinite distributed delay, where nonlinear term may satisfy sub-linearity, semi-linearity and super-linearity conditions. By virtue of a fixed point theorem of Leray-Schauder type, we prove the existence of positive periodic solutions. As applications, we prove that Hematopoiesis model, Nicholson's blowflies model and the model of blood cell production have positive periodic solutions.

    Citation: Zhibo Cheng, Lisha Lv, Jie Liu. Positive periodic solution of first-order neutral differential equation with infinite distributed delay and applications[J]. AIMS Mathematics, 2020, 5(6): 7372-7386. doi: 10.3934/math.2020472

    Related Papers:

  • In this paper, we consider first-order neutral differential equation with infinite distributed delay, where nonlinear term may satisfy sub-linearity, semi-linearity and super-linearity conditions. By virtue of a fixed point theorem of Leray-Schauder type, we prove the existence of positive periodic solutions. As applications, we prove that Hematopoiesis model, Nicholson's blowflies model and the model of blood cell production have positive periodic solutions.


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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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