A Fractional-Order Mathematical Model of Banana Xanthomonas Wilt Disease Using Caputo Derivatives

被引：1

作者：

Manickam, A. ^{[1
]}

Kavitha, M. ^{[2
]}

Jaison, A. Benevatho ^{[1
]}

Singh, Arvind Kumar ^{[3
]}

机构：

[1] VIT Bhopal Univ, Sch Adv Sci & Languages, Div Math, Bhopal Indore Highway, Sehore 466114, Madhya Pradesh, India

[2] Panimalar Engn Coll, Dept Math, Chennai 600123, Tamil Nadu, India

[3] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India

来源：

CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 01期

关键词：

mathematical model; Caputo fractional derivative; L1 predictor-corrector scheme; error analysis; stability; graphical simulations; CAMPESTRIS PV. MUSACEARUM; DIFFERENCE SCHEME;

D O I：

10.37256/cm.5120242479

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article investigates a fractional-order mathematical model of Banana Xanthomonas Wilt disease while considering control measures using Caputo derivatives. The proposed model is numerically solved using the L1-based predictor-corrector method to explore the model's dynamics in a particular time range. Stability and error analyses are performed to justify the efficiency of the scheme. The non-local nature of the Caputo fractional derivative, which includes memory effects in the system, is the main motivation for incorporating this derivative in the model. We obtain varieties in the model dynamics while checking various fractional order values.

引用

页码：136 / 156

页数：21

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