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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Academic Journals Center of Shanghai Normal University
2014-10-01
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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 |
work_keys_str_mv |
AT jiali stagestructuredmodelsforinteractingwildandsterilemosquitoes |
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1725604849467260928 |