A Mathematical Model of Protectant and Curative Fungicide Application and its stability analysis

被引：10

作者：

Anggriani, N. ^{[1
]}

Istifadah, N. ^{[2
]}

Hanifah, M. ^{[1
]}

Supriatna, A. K. ^{[1
]}

机构：

[1] Padjadjaran State Univ, Dept Math, Sumedang, Indonesia

[2] Padjadjaran State Univ, Dept Agr, Sumedang, Indonesia

来源：

WORKSHOP AND INTERNATIONAL SEMINAR ON SCIENCE OF COMPLEX NATURAL SYSTEMS | 2016年 / 31卷

关键词：

D O I：

10.1088/1755-1315/31/1/012014

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

In this paper we introduce a mathematical model for fungicide application with effect of protectant and curatives factor. We show the value of the Basic Reproduction Number (R-0) of the fungal disease, which is computed from the largest eigen value of the next generation matrix of the model. The result show that in the region where R-0 greater than one there is only one single stable endemic equilibrium. However, in region where R-0 less than one some parameters affect the number of posibble equilibria. Some numerical simulation are also given to illustrate our analytical results.

引用

页数：7