Optimal control problems of mosquito-borne disease subject to changes in feeding behavior of Aedes mosquitoes

M A Masud; Byul Nim Kim; Yongkuk Kim

doi:10.1016/j.biosystems.2017.03.005

Optimal control problems of mosquito-borne disease subject to changes in feeding behavior of Aedes mosquitoes

Biosystems. 2017 Jun-Jul:156-157:23-39. doi: 10.1016/j.biosystems.2017.03.005. Epub 2017 Apr 3.

Authors

M A Masud¹, Byul Nim Kim¹, Yongkuk Kim²

Affiliations

¹ Department of Mathematics, Kyungpook National University, South Korea.
² Department of Mathematics, Kyungpook National University, South Korea. Electronic address: yongkuk@knu.ac.kr.

PMID: 28385591
DOI: 10.1016/j.biosystems.2017.03.005

Abstract

Dengue viruses (DENV) are transmitted to humans by the bite of Aedes mosquitoes. It is known that dengue virus infection in Aedes aegypti female mosquitoes makes a change in the feeding behavior of the infected mosquitoes. In this study, using the forces of infection, we incorporated the effect of changes in the feeding behavior of mosquitoes into the standard vector-borne SIR-SI model. It has been proved that both a single-strain model and a two-strain model exhibit forward bifurcations. Moreover, optimal implementations of control with specific prevention measures for dengue transmission are analyzed. As a result we found that more implementation of controls on the secondary infection of humans should be considered for the behavioral changes in feeding of the infected mosquitoes.

Keywords: Basic reproductive number; Bifurcation; Force of infection; Locomotor activity; Primary 92D30.

MeSH terms

Aedes*
Animals
Dengue Virus*
Dengue*
Feeding Behavior*
Female
Humans
Insect Vectors