title: Stability analysis of pine wilt disease model by periodic use of insecticides.
abstract: 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.
authors: a Department of Mathematics , University of the Punjab , Lahore , Pakistan.
authors: Aziz Ullah
authors: AU
authors: Awan
authors: b Department of Mathematics , COMSATS Institute of Information Technology , Attock , Pakistan.
authors: Muhammad
authors: M
authors: Ozair
authors: c Department of Mathematics , The University of Poonch Rawalakot , Rawalakot , Pakistan.
authors: Qamar
authors: Q
authors: Din
authors: b Department of Mathematics , COMSATS Institute of Information Technology , Attock , Pakistan.
authors: Takasar
authors: T
authors: Hussain
mesh_terms: D000818:Animals; D050936:Basic Reproduction Number; D007303:Insect Vectors; D007306:Insecticides / Q000008:administration & dosage*; D008954:Models, Biological; D028223:Pinus; D010935:Plant Diseases / Q000517:prevention & control*
chemical_list: D007306:Insecticides
keywords: Pine wilt model; global behaviour; local stability; steady states