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Almost periodic solutions in distribution sense for stochastic Lasota–Wazewska red blood cell models

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Abstract

Stochastic ecological models have been widely developed and applied in the fields of population dynamics and epidemiology. At present, the almost periodic function-like solutions of stochastic differential equations in the sense of distribution have become a new research hot spot. The goal of this paper is to investigate the almost periodic solutions in the distribution sense of the stochastic Lasota–Wazewska red blood cell models with mixed delays. Using the Banach fixed point theorem, we first establish the existence of almost periodic solutions in the distribution sense. In the next step, we use stochastic analysis and inequality techniques to assess Lasota-Wazewsk red blood cell model mean square global exponential stability. At last, Matlab simulation figures are presented to confirm the scientificness of the derived prime conclusions. In the field of stochastic ecological models, the principal conclusions derived in this manuscript are innovative and possess tremendous theoretical value.

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Funding

This work is supported by the National Natural Sciences Foundation of People’s Republic of China under Grant 11971421, and Yunnan Fundamental Research Projects under Grant 202201AU070170, and Yunnan Provincial Department of Education Science Research Fund Project under Grants 2022J0480 and 2022Y489, and Yunnan Province XingDian Talent Support Program (YNWR-YLXZ-2018-020), and the Key Laboratory of Complex Dynamics System and Application Analysis of Department of Education of Yunnan Province.

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Authors and Affiliations

  1. School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, China

    Xiaofang Meng, Zhouhong Li & Yu Fei

  2. Department of Mathematics, Yuxi Normal University, Yuxi, 653100, Yunnan, China

    Zhouhong Li

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  1. Xiaofang Meng
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  2. Zhouhong Li
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  3. Yu Fei
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Contributions

XM: Conceptualization, Investigation, Writing—Original draft preparation. ZL: Conceptualization, Methodology, Writing—Review and Editing. YF: Software, Writing—Review and Editing, Funding acquisition.

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Correspondence to Yu Fei.

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Meng, X., Li, Z. & Fei, Y. Almost periodic solutions in distribution sense for stochastic Lasota–Wazewska red blood cell models. Nonlinear Dyn 111, 16627–16641 (2023). https://doi.org/10.1007/s11071-023-08572-x

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