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

Workshop and International Seminar on Science of Complex Natural Systems

Anggriani, N.^1 ; Istifadah, N.^2 ; Hanifah, M.^1 ; Supriatna, A.K.^1

Department of Mathematics, Universitas Padjadjaran, Indonesia^1

Department of Agriculture, Universitas Padjadjaran, Indonesia^2

关键词: Analytical results;    Basic reproduction number;    Eigen-value;    Endemic equilibrium;    Fungal disease;    Fungicide application;    Stability analysis;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/31/1/012014/pdf
DOI  :  10.1088/1755-1315/31/1/012014

来源: IOP

【 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 (R0) 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 R0greater than one there is only one single stable endemic equilibrium. However, in region where R0less than one some parameters affect the number of posibble equilibria. Some numerical simulation are also given to illustrate our analytical results.