...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Applied Mathematical Modelling >Mathematical modelling of Banana Black Sigatoka Disease with delay and Seasonality
【24h】

Mathematical modelling of Banana Black Sigatoka Disease with delay and Seasonality

机译：延迟和季节性的香蕉黑同田病的数学建模

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Black Sigatoka Disease, also called Black Leaf Streak Disease (BLSD), is caused by the fungus Mycosphaerella fijiensis and is arguably one of the most important pathogens affecting the banana and plantain industries. Theoretical results on its dynamics are rare, even though theoretical descriptions of epidemics of plant diseases are valuable steps toward their efficient management. In this paper, we propose a mathematical model describing the dynamics of BLSD on banana or plantain leaves within a whole field of plants. The model consists of a system of periodic non-autonomous differential equations with a time delay that accounts for the time of incubation ofM. fijiensis' spores. We compute the basic reproduction number of the disease and show that it does not depend on the time delay, meaning that the persistence of BLSD would not qualitatively change even if the incubation period of the pathogen is perturbed. We derive local and global long-term dynamics of the disease and provide numerical simulations to illustrate our results.
机译：黑人田疾病，也称为黑叶条纹病（BLSD），是由真菌Mycosphaerella Fijiensis引起的，可以说是影响香蕉和植物行业的最重要的病原体之一。即使植物疾病流行病的理论描述是对其有效管理的有价值的步骤，其动态的理论结果也很少见。在本文中，我们提出了一种数学模型，描述了在植物的整个领域内的香蕉或植物叶片上的BLSD动态。该模型由周期性非自治微分方程组成，具有时间延迟的时间延迟，该时间延迟占孵化时间。 Fijiensis的孢子。我们计算疾病的基本繁殖数，表明它不依赖于时间延迟，这意味着即使病原体的潜伏期扰动，平坦的持续性也不会定性地改变。我们派生疾病的本地和全球长期动态，并提供数值模拟以说明我们的结果。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2021年第11期|380-399|共20页
  • 作者

    Franklin Platini Agouanet; Israeel Tankam-Chedjou; Remy M. Etoua; Jean Jules Tewa;

  • 作者单位

    Department of Mathematics University of Yaounde I PO Box 812 Yaounde Cameroon;

    Department of Mathematics University of Yaounde I PO Box 812 Yaounde Cameroon;

    National Advanced School of Engineering University of Yaounde I P.O. Box 8390 Yaounde Cameroon The African Center of Excellence in Information and Communication Technologies (CETIC) University of Yaounde I Cameroon;

    National Advanced School of Engineering University of Yaounde I P.O. Box 8390 Yaounde Cameroon The African Center of Excellence in Information and Communication Technologies (CETIC) University of Yaounde I Cameroon UMI 209 IRD - UPMC UMMISCO Bondy France;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Black sigatoka; Fungi; Plant epidemics; Delay differential equations; Periodic systems; Stability;

    机译：黑色的sigatoka;菌类;植物流行病;延迟微分方程;定期系统;稳定;

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号