咖啡浆果病动态的数学模型

IF 1.2 Q2 MATHEMATICS, APPLIED

Journal of Applied Mathematics Pub Date : 2023-09-27 DOI:10.1155/2023/9320795

H. O. Nyaberi, W. N. Mutuku, D. M. Malonza, G. W. Gachigua

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引用次数: 0

摘要

咖啡莓病(CBD)是一种由炭疽菌(Colletotrichum kahawae)引起的真菌病。CBD是肯尼亚乃至整个非洲咖啡生产的主要制约因素。在这篇研究论文中，我们建立了一个咖啡莓病动力学的数学模型。该模型由种植园内咖啡植物种群和卡哈瓦炭疽病菌种群组成。导出了基本繁殖数rk0，并利用常微分方程理论分析了无病平衡和地方病平衡的动力学行为。利用MATLAB ode45求解器进行数值模拟，结果与理论结果一致。

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A Mathematical Model of the Dynamics of Coffee Berry Disease

Coffee berry disease (CBD) is a fungal disease caused by Colletotrichum kahawae. CBD is a major constraint to coffee production to Kenya and Africa at large. In this research paper, we formulate a mathematical model of the dynamics of the coffee berry disease. The model consists of coffee plant population in a plantation and Colletotrichum kahawae pathogen population. We derived the basic reproduction number

R_{k 0}

, and analyzed the dynamical behaviors of both disease-free equilibrium and endemic equilibrium by the theory of ordinary differential equations. Using the MATLAB ode45 solver, we carried out numerical simulation, and the findings are consistent with the theoretical results.

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来源期刊

Journal of Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

3.2 months

期刊介绍： Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.