Just, Winfried

English

VCU Scholars Compass

Virginia Commonwealth UniversityVCU Scholars CompassBiology and Medicine Through MathematicsConference 2017May 18th, 12:30 PM - 1:00 PMA hysteresis-like effect for insect control strategiesWinfried JustOhio University - Main Campus, mathjust@gmail.comFollow this and additional works at: http://scholarscompass.vcu.edu/bammPart of the Life Sciences Commons, Medicine and Health Sciences Commons, and the PhysicalSciences and Mathematics CommonsThis Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has beenaccepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. Formore information, please contact libcompass@vcu.edu.http://scholarscompass.vcu.edu/bamm/2017/thursday/4This presentation will report joint work with Bismark Oduro and Mario Grijalva of Ohio UniversityInsecticide spraying remains one of the most widely used control strategies for vector-borne diseases such as Chagas disease.  Drawbacks include harmful side effects of the insecticide and the fact that it confers only temporary protection to treated units. We investigate ODE-based models of type SIRS with areservoir to elucidate strategies that would maximize the amount of protection in the long run for a given amount of available insecticide. The models indicate a hysteresis-like effect were two different endemic levels can be maintained at the same cost.  The effect predicts that initially highly aggressive intervention will allow to maintain lower endemic levels at the same average cost in the long run.  We prove that the effect is fairly robust under fine-graining of the basic model to incorporate more biologicaldetails.

A hysteresis-like effect for insect control strategies

Virginia Commonwealth University
VCU Scholars Compass
Biology and Medicine Through Mathematics
Conference 2017
May 18th, 12:30 PM - 1:00 PM
A hysteresis-like effect for insect control strategies
Winfried Just
Ohio University - Main Campus, mathjust@gmail.com
Follow this and additional works at: http://scholarscompass.vcu.edu/bamm
Part of the Life Sciences Commons, Medicine and Health Sciences Commons, and the Physical
Sciences and Mathematics Commons
This Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has been
accepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. For
more information, please contact libcompass@vcu.edu.
http://scholarscompass.vcu.edu/bamm/2017/thursday/4
This presentation will report joint work with Bismark Oduro and Mario Grijalva of Ohio University
Insecticide spraying remains one of the most widely used control strategies for vector-borne diseases 
such as Chagas disease.  Drawbacks include harmful side effects of the insecticide and the fact that it 
confers only temporary protection to treated units. We investigate ODE-based models of type SIRS with a
reservoir to elucidate strategies that would maximize the amount of protection in the long run for a 
given amount of available insecticide. The models indicate a hysteresis-like effect were two different 
endemic levels can be maintained at the same cost.  The effect predicts that initially highly aggressive 
intervention will allow to maintain lower endemic levels at the same average cost in the long run.  We 
prove that the effect is fairly robust under fine-graining of the basic model to incorporate more biological
details.


https://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1158&amp;context=bamm

A hysteresis-like effect for insect control strategies

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