Analysis of a host–vector dynamics of a dengue disease model with optimal vector control strategy

Sangeeta Saha and Guruprasad Samanta

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 195, issue C, 31-55

Abstract: Dengue is a mosquito-borne viral disease where the species Aedes aegypti acts as the vector. In this work, we have proposed a biologically well-posed epidemic model to study the dynamics of dengue strain. It is observed that people infected with severe dengue are more infectious than people with mild symptoms in terms of disease transmission. Also, continuous removal of mosquitoes decreases the chances of becoming infected with Dengue significantly. In the later part, an optimal control problem is formulated where a lesser number of people become infected due to time-dependent people’s awareness regarding taking precaution and mosquito removal measures. The numerical simulation shows that the transmission of the virus among mosquitoes becomes lowest when both the control policies are implemented. So, from the overall analysis, it is observed that maintaining effective non-pharmaceutical precautions at an early stage and removing mosquitoes from the system at certain time intervals decrease the infection level significantly in the environment by reducing the probability of becoming infected.

Keywords: Vector-borne epidemic model; Dengue; Bifurcation; Optimal control (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:195:y:2022:i:c:p:31-55

DOI: 10.1016/j.matcom.2021.12.021

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