FRACTIONAL MODELING AND NUMERICAL SIMULATION FOR UNFOLDING MARBURG–MONKEYPOX VIRUS CO-INFECTION TRANSMISSION

IF 3.3 3区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Fractals-Complex Geometry Patterns and Scaling in Nature and Society Pub Date : 2023-09-02 DOI:10.1142/s0218348x2350086x

Nan Zhang, Emmanuel Addai, Lingling Zhang, M. Ngungu, E. Marinda, Joshua Kiddy K. Asamoah

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引用次数: 1

Abstract

In this paper, we investigate a deterministic mathematical model of Marburg–Monkeypox virus co-infection transmission under the Caputo fractional-order derivative. We discussed the dynamics behavior of the model and carried out qualitative and quantitative analysis, including the positivity–boundedness of solution, and the basic reproduction number [Formula: see text]. In addition, the Banach and Schauder-type fixed point theorem is utilized to explore the existence–uniqueness of the solution in the suggested model and the proposed model stability under the Ulam–Hyers condition is demonstrated. In numerical simulation, the Predictor–Corrector method is used to determine the numerical solutions. According to the numerical result, increasing the rate of quarantine and detecting unknown Marburg virus, will be the most effective control intervention to reduce Marburg and Monkeypox virus transmission in the population.

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马尔堡-猴痘病毒共感染传播的分式建模和数值模拟

在本文中，我们研究了一个在Caputo分数阶导数下的马尔堡-猴痘病毒共感染传播的确定性数学模型。我们讨论了模型的动力学行为，并进行了定性和定量分析，包括解的正-有界性和基本繁殖数[公式：见正文]。此外，利用Banach和Schauder型不动点定理来探索所提出模型中解的存在唯一性，并证明了所提出模型在Ulam–Hyers条件下的稳定性。在数值模拟中，使用预测-校正方法来确定数值解。根据数字结果，提高隔离率和检测未知马尔堡病毒，将是减少马尔堡和猴痘病毒在人群中传播的最有效控制干预措施。

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来源期刊

Fractals-Complex Geometry Patterns and Scaling in Nature and Society 数学-数学跨学科应用

CiteScore

7.40

自引率

23.40%

发文量

319

审稿时长

>12 weeks

期刊介绍： The investigation of phenomena involving complex geometry, patterns and scaling has gone through a spectacular development and applications in the past decades. For this relatively short time, geometrical and/or temporal scaling have been shown to represent the common aspects of many processes occurring in an unusually diverse range of fields including physics, mathematics, biology, chemistry, economics, engineering and technology, and human behavior. As a rule, the complex nature of a phenomenon is manifested in the underlying intricate geometry which in most of the cases can be described in terms of objects with non-integer (fractal) dimension. In other cases, the distribution of events in time or various other quantities show specific scaling behavior, thus providing a better understanding of the relevant factors determining the given processes. Using fractal geometry and scaling as a language in the related theoretical, numerical and experimental investigations, it has been possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iterative functions, colloidal aggregation, biological pattern formation, stock markets and inhomogeneous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality. The main challenge of the journal devoted exclusively to the above kinds of phenomena lies in its interdisciplinary nature; it is our commitment to bring together the most recent developments in these fields so that a fruitful interaction of various approaches and scientific views on complex spatial and temporal behaviors in both nature and society could take place.