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

NONLINEAR DYNAMICS(2023)

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摘要
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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关键词
Stochastic Lasota-Wazewska models,Almost periodicity in distribution,Stability
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