Controlling malaria with indoor residual spraying in spatially heterogenous environments
Indoor residual spraying – spraying insecticide inside houses to kill mosquitoes – has been one of the most effective methods of disease control ever devised, being responsible for the near-eradication of malaria from the world in the third quarter of the twentieth century and saving tens of million...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2011-07-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.889 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590200343101440 |
|---|---|
| author | Mo'tassem Al-Arydah Robert Smith? |
| author_facet | Mo'tassem Al-Arydah Robert Smith? |
| author_sort | Mo'tassem Al-Arydah |
| collection | DOAJ |
| description | Indoor residual spraying – spraying insecticide inside houses to kill mosquitoes – has been one of the most effective methods of disease control ever devised, being responsible for the near-eradication of malaria from the world in the third quarter of the twentieth century and saving tens of millions of lives. However, with malaria resurgence currently underway, it has received relatively little attention, been applied only in select physical locations and not always at regular intervals. We extend a time-dependent model of malaria spraying to include spatial heterogeneity and address the following research questions: 1. What are the effects of spraying in different geographical areas? 2. How do the results depend upon the regularity of spraying? 3. Can we alter our control strategies to account for asymmetric phenomena such as wind? We use impulsive partial differential equation models to derive thresholds for malaria control when spraying occurs uniformly, within an interior disc or under asymmetric advection effects. Spatial heterogeneity results in an increase in the necessary frequency of spraying, but control is still achievable. |
| format | Article |
| id | doaj-art-92ba0b8af1d64f87bcd5218d477fc0b5 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-92ba0b8af1d64f87bcd5218d477fc0b52025-01-24T02:02:16ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-07-018488991410.3934/mbe.2011.8.889Controlling malaria with indoor residual spraying in spatially heterogenous environmentsMo'tassem Al-Arydah0Robert Smith?1Department of Mathematics, The University of Ottawa, 585 King Edward Ave Ottawa, ON K1N 6N5Department of Mathematics, The University of Ottawa, 585 King Edward Ave Ottawa, ON K1N 6N5Indoor residual spraying – spraying insecticide inside houses to kill mosquitoes – has been one of the most effective methods of disease control ever devised, being responsible for the near-eradication of malaria from the world in the third quarter of the twentieth century and saving tens of millions of lives. However, with malaria resurgence currently underway, it has received relatively little attention, been applied only in select physical locations and not always at regular intervals. We extend a time-dependent model of malaria spraying to include spatial heterogeneity and address the following research questions: 1. What are the effects of spraying in different geographical areas? 2. How do the results depend upon the regularity of spraying? 3. Can we alter our control strategies to account for asymmetric phenomena such as wind? We use impulsive partial differential equation models to derive thresholds for malaria control when spraying occurs uniformly, within an interior disc or under asymmetric advection effects. Spatial heterogeneity results in an increase in the necessary frequency of spraying, but control is still achievable.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.889advection.partial differential equationsmalariaspatial heterogeneityindoor residual spraying |
| spellingShingle | Mo'tassem Al-Arydah Robert Smith? Controlling malaria with indoor residual spraying in spatially heterogenous environments Mathematical Biosciences and Engineering advection. partial differential equations malaria spatial heterogeneity indoor residual spraying |
| title | Controlling malaria with indoor residual spraying in spatially heterogenous environments |
| title_full | Controlling malaria with indoor residual spraying in spatially heterogenous environments |
| title_fullStr | Controlling malaria with indoor residual spraying in spatially heterogenous environments |
| title_full_unstemmed | Controlling malaria with indoor residual spraying in spatially heterogenous environments |
| title_short | Controlling malaria with indoor residual spraying in spatially heterogenous environments |
| title_sort | controlling malaria with indoor residual spraying in spatially heterogenous environments |
| topic | advection. partial differential equations malaria spatial heterogeneity indoor residual spraying |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.889 |
| work_keys_str_mv | AT motassemalarydah controllingmalariawithindoorresidualsprayinginspatiallyheterogenousenvironments AT robertsmith controllingmalariawithindoorresidualsprayinginspatiallyheterogenousenvironments |