Stability analysis of pine wilt disease model by periodic use of insecticides

Stability analysis of pine wilt disease model by periodic use of insecticides

This work is related to qualitative behaviour of an epidemic model of pine wilt disease. More precisely, we proved that the reproductive number has sharp threshold properties. It has been shown that how vector population can be reduced by the periodic use of insecticides. Numerical simulations show...

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Bibliographic Details
Main Authors: Aziz Ullah Awan, Muhammad Ozair, Qamar Din, Takasar Hussain
Format: Article
Language:English
Published: Taylor & Francis Group 2016-01-01
Series:Journal of Biological Dynamics
Subjects:
Pine wilt model
steady states
local stability
global behaviour
Online Access:http://dx.doi.org/10.1080/17513758.2016.1225828
Description
Summary:This work is related to qualitative behaviour of an epidemic model of pine wilt disease. More precisely, we proved that the reproductive number has sharp threshold properties. It has been shown that how vector population can be reduced by the periodic use of insecticides. Numerical simulations show that epidemic level of infected vectors becomes independent of saturation level by including the transmission through mating.
ISSN:1751-3758
1751-3766

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