鹿分级感染性慢性消耗性疾病模型的研究

Q1 Mathematics
Parveen Kumar, Ajay Kumar, Sunil Kumar
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引用次数: 0

摘要

本文对四维慢性消耗性疾病(CWD)社区模型的行为进行了分数阶分析。用两个分数阶导数计算了CWD模型的复杂性和动力学行为。CWD是一种影响鹿的神经系统疾病,在世界各地的鹿群中造成了许多死亡和感染。为了更好地理解和解决这一生态流行病学问题,我们使用了两种数值方案,分别利用Caputo分数算子和Atangana-Baleanu (AB)分数算子。我们研究了生态流行病学CWD模型的稳定性。不动点理论在分析解的存在唯一性方面起着体积学的作用。我们利用分岔图、时间序列图和相图来分析微分阶数和参数变化的分数阶生态流行病系统。我们用Atangana-Baleanu (AB)算子和Caputo算子检验了生态流行病学CWD模型的近似结果,并对两种解进行了比较。对仿真结果进行了简要分析,结果表明所提出的方法新颖、可靠、易于实现。除了确定方向、稳定性、分岔和数值解之外,图形描述和图分岔提供了关于所提议模型的更好的信息。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A study on fractional order infectious chronic wasting disease model in deers
In this paper, the fractional order analysis of the behaviour of the four-dimensional chronic wasting disease (CWD) communities model has been presented. The complexity and dynamical behaviour of the CWD model have been calculated using two fractional derivatives. CWD, a neurological disease that affects deer, has resulted in many deaths and infections among deer populations around the world. To better understand and tackle this eco-epidemiological issue, we used two numerical schemes utilizing the Caputo fractional operator and the Atangana-Baleanu (AB) fractional operator. We have investigated the stability of the eco-epidemiological CWD model. The fixed point theory is a volumetric role play in analyzing the existence and uniqueness of the solution. We use bifurcation diagrams, time series diagrams, and phase diagrams to analyze fractional-order eco-epedimological systems with derivative orders and parameters varying. We examine the approximate result of the eco-epidemiological CWD model with the Atangana-Baleanu (AB) operator and the Caputo operator, and we also compare both solutions. We do a brief analysis of the simulated results, which reveals that the suggested methodologies are novel, dependable, and remarkably easy to implement. In addition to determining the direction, stability, bifurcating, and numerical solutions, graphic depiction and graph bifurcation provide better information about the proposed model.
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来源期刊
Arab Journal of Basic and Applied Sciences
Arab Journal of Basic and Applied Sciences Mathematics-Mathematics (all)
CiteScore
5.80
自引率
0.00%
发文量
31
审稿时长
36 weeks
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