具有贝丁顿-德安吉利斯功能响应的随机和周期性病毒模型的动力学特性

IF 2.4 3区数学 Q1 MATHEMATICS Journal of Applied Mathematics and Computing Pub Date : 2024-07-14 DOI:10.1007/s12190-024-02182-5

Peilin Shi, Lingzhen Dong

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引用次数: 0

摘要

我们考虑了一个具有贝丁顿-德安吉利函数反应的周期性病毒模型，假定不仅未感染、已感染 CD4（^{+}\）T 细胞的死亡率，而且 HIV-1 病毒粒子的清除率都受到白噪声的影响。在伊托公式和哈斯明斯基周期解理论的帮助下，通过构建一些关键函数，我们讨论了病毒的消亡问题。此外，我们还研究了未感染周期解和已感染周期解的存在性。最后，我们分析了噪声的影响，并通过数值模拟说明了我们的结果。

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Dynamics of a stochastic and periodic virus model with Beddington-DeAngelis functional response

We consider a periodic virus model with Beddington-DeAngelis functional responses, which is assumed that not only the death rate of the uninfected, the infected CD4\(^{+}\)T cells but also the removed rate of HIV-1 virus particles are influenced by white noises. With the helps of Itô’s formula and Has’minskii theory for periodic solution, and by constructing some crucial functions we discuss the extinction of the virus. Moreover, the existence of the uninfected periodic solution and the infected periodic solution are investigated. At last, we analyze the influence of noises and illustrate our results by numerical simulations.

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来源期刊

Journal of Applied Mathematics and Computing Mathematics-Computational Mathematics

CiteScore

4.20

自引率

4.50%

发文量

131

期刊介绍： JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.