Stage-structured models for interacting wild and sterile mosquitoes

Using the sterile insect technique,in which sterile mosquitoes are released to reduce or eradicate the wild mosquito population,is an effective weapon to prevent transmission of mosquito-borne diseases.To study the impact of the sterile insect technique on the disease transmissions,we formulate stag...

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Main Author: Jia Li
Format: Article
Language:English
Published: Academic Journals Center of Shanghai Normal University 2014-10-01
Series:Journal of Shanghai Normal University (Natural Sciences)
Subjects:
Online Access:http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201405008&flag=1&year_id=2014&quarter_id=5
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spelling doaj-92dd5b371d134bd184b8eb0aab519d102020-11-24T23:11:20ZengAcademic Journals Center of Shanghai Normal UniversityJournal of Shanghai Normal University (Natural Sciences)1000-51371000-51372014-10-0143551152210.3969/J.ISSN.100-5137.2014.05.008201405008Stage-structured models for interacting wild and sterile mosquitoesJia Li0Department of Mathematical Sciences,University of Alabama in HuntsvilleUsing the sterile insect technique,in which sterile mosquitoes are released to reduce or eradicate the wild mosquito population,is an effective weapon to prevent transmission of mosquito-borne diseases.To study the impact of the sterile insect technique on the disease transmissions,we formulate stage-structured discrete-time mathematical models,based on difference equations,for the interactive dynamics of the wild and sterile mosquitoes.We incorporate different strategies for releasing sterile mosquitoes,investigate the model dynamics,and compare the impact of the different release strategies.Numerical examples are also provided to demonstrate dynamical features of the models.http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201405008&flag=1&year_id=2014&quarter_id=5Mathematical modelingRicker-type nonlinearitystage structuresterile mosquitoesthresholdsvector-borne diseases
collection DOAJ
language English
format Article
sources DOAJ
author Jia Li
spellingShingle Jia Li
Stage-structured models for interacting wild and sterile mosquitoes
Journal of Shanghai Normal University (Natural Sciences)
Mathematical modeling
Ricker-type nonlinearity
stage structure
sterile mosquitoes
thresholds
vector-borne diseases
author_facet Jia Li
author_sort Jia Li
title Stage-structured models for interacting wild and sterile mosquitoes
title_short Stage-structured models for interacting wild and sterile mosquitoes
title_full Stage-structured models for interacting wild and sterile mosquitoes
title_fullStr Stage-structured models for interacting wild and sterile mosquitoes
title_full_unstemmed Stage-structured models for interacting wild and sterile mosquitoes
title_sort stage-structured models for interacting wild and sterile mosquitoes
publisher Academic Journals Center of Shanghai Normal University
series Journal of Shanghai Normal University (Natural Sciences)
issn 1000-5137
1000-5137
publishDate 2014-10-01
description Using the sterile insect technique,in which sterile mosquitoes are released to reduce or eradicate the wild mosquito population,is an effective weapon to prevent transmission of mosquito-borne diseases.To study the impact of the sterile insect technique on the disease transmissions,we formulate stage-structured discrete-time mathematical models,based on difference equations,for the interactive dynamics of the wild and sterile mosquitoes.We incorporate different strategies for releasing sterile mosquitoes,investigate the model dynamics,and compare the impact of the different release strategies.Numerical examples are also provided to demonstrate dynamical features of the models.
topic Mathematical modeling
Ricker-type nonlinearity
stage structure
sterile mosquitoes
thresholds
vector-borne diseases
url http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/create_pdf.aspx?file_no=201405008&flag=1&year_id=2014&quarter_id=5
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