A mathematical model is presented to examine the interaction between human and vector populations. The model consists of five control strategies i.e. campaign aimed in educating careless individuals as a mean of minimizing or eliminating mosquito-human contact, control effort aimed at reducing mosquito-human contact, the control effort for removing vector breeding places, insecticide application and the control effort aimed at reducing the maturation rate from larvae to adult in order to reduce the number of infected individual. Optimal Control (OC) approach is used in order to find the best strategy to fight the disease and minimize the cost.
| Published in | Applied and Computational Mathematics (Volume 4, Issue 3) |
| DOI | 10.11648/j.acm.20150403.21 |
| Page(s) | 181-191 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Control, Optimal Control, Dengue Fever, Implementation, Strategy
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APA Style
Laurencia Ndelamo Massawe, Estomih S. Massawe, Oluwole Daniel Makinde. (2015). Modelling Infectiology and Optimal Control of Dengue Epidemic. Applied and Computational Mathematics, 4(3), 181-191. https://doi.org/10.11648/j.acm.20150403.21
ACS Style
Laurencia Ndelamo Massawe; Estomih S. Massawe; Oluwole Daniel Makinde. Modelling Infectiology and Optimal Control of Dengue Epidemic. Appl. Comput. Math. 2015, 4(3), 181-191. doi: 10.11648/j.acm.20150403.21
AMA Style
Laurencia Ndelamo Massawe, Estomih S. Massawe, Oluwole Daniel Makinde. Modelling Infectiology and Optimal Control of Dengue Epidemic. Appl Comput Math. 2015;4(3):181-191. doi: 10.11648/j.acm.20150403.21
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Download@article{10.11648/j.acm.20150403.21,
author = {Laurencia Ndelamo Massawe and Estomih S. Massawe and Oluwole Daniel Makinde},
title = {Modelling Infectiology and Optimal Control of Dengue Epidemic},
journal = {Applied and Computational Mathematics},
volume = {4},
number = {3},
pages = {181-191},
doi = {10.11648/j.acm.20150403.21},
url = {https://doi.org/10.11648/j.acm.20150403.21},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20150403.21},
abstract = {A mathematical model is presented to examine the interaction between human and vector populations. The model consists of five control strategies i.e. campaign aimed in educating careless individuals as a mean of minimizing or eliminating mosquito-human contact, control effort aimed at reducing mosquito-human contact, the control effort for removing vector breeding places, insecticide application and the control effort aimed at reducing the maturation rate from larvae to adult in order to reduce the number of infected individual. Optimal Control (OC) approach is used in order to find the best strategy to fight the disease and minimize the cost.},
year = {2015}
}
TY - JOUR T1 - Modelling Infectiology and Optimal Control of Dengue Epidemic AU - Laurencia Ndelamo Massawe AU - Estomih S. Massawe AU - Oluwole Daniel Makinde Y1 - 2015/06/03 PY - 2015 N1 - https://doi.org/10.11648/j.acm.20150403.21 DO - 10.11648/j.acm.20150403.21 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 181 EP - 191 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20150403.21 AB - A mathematical model is presented to examine the interaction between human and vector populations. The model consists of five control strategies i.e. campaign aimed in educating careless individuals as a mean of minimizing or eliminating mosquito-human contact, control effort aimed at reducing mosquito-human contact, the control effort for removing vector breeding places, insecticide application and the control effort aimed at reducing the maturation rate from larvae to adult in order to reduce the number of infected individual. Optimal Control (OC) approach is used in order to find the best strategy to fight the disease and minimize the cost. VL - 4 IS - 3 ER -
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