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

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

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 resu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IOP conference series. Earth and environmental science 2016-01, Vol.31 (1), p.12014-12020
Hauptverfasser: Anggriani, N., Istifadah, N., Hanifah, M., Supriatna, A.K.
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Computer simulation
Earth
Fungal diseases
Fungicides
Mathematical analysis
Mathematical models
Reproduction
Stability analysis
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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 R0 greater than one there is only one single stable endemic equilibrium. However, in region where R0 less than one some parameters affect the number of posibble equilibria. Some numerical simulation are also given to illustrate our analytical results.
ISSN:1755-1307
1755-1315
DOI:10.1088/1755-1315/31/1/012014