Abstract

Mosquito control is very important, in particular, for tropical countries. The purpose of mosquito control is to decrease the number of mosquitos such that the mosquitos transmitted diseases can be reduced. However, mosquito control can be costly, thus there is a trade-off between the cost for mosquito control and the cost for mosquitos transmitted diseases. A model is proposed based on renewal theory in this paper to describe the process of mosquitos’ growth, with consideration of the mosquitos transmitted diseases growth process and the corresponding diseases treatment cost. Through this model, the total mosquitos control cost of different strategies can be estimated. The optimal mosquito control strategy that minimizes the expected total cost is studied. A numerical example and corresponding sensitivity analyses are proposed to illustrate the applications.

Highlights

  • Life and health are the primary human rights and fundamental rights [1,2]

  • Mosquitos can act as vectors of bacteria, viruses and parasites for many infectious diseases, such as malaria, dengue, West Nile virus, chikungunya, yellow fever, as well as newly detected Keystone virus and Rift Valley fever, which are known as mosquito-borne diseases (MBD) [8,9,10]

  • By adjusting the interval of launching anti-mosquito campaigns (AMC), the aim of our model is to minimize the total cost of the strategy which consists of the cost of launching AMCs and the cost of treatment for the people infected with MBDs

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Summary

Introduction

Life and health are the primary human rights and fundamental rights [1,2]. Infectious diseases have a tremendous influence on human life and sometimes they may cause epidemic outbreaks which lead to a great threat on almost all aspects of human society [3,4,5,6,7]. Typical measures include spraying intensive pesticides into the air and getting rid of accumulated water wherein the mosquitos may lay eggs. This raises an interesting issue, that is, how to develop a strategy of mosquito control. By adjusting the interval of launching AMCs, the aim of our model is to minimize the total cost of the strategy which consists of the cost of launching AMCs and the cost of treatment for the people infected with MBDs. The remaining of this paper is arranged as follows.

The Cost Model of Mosquito Control Strategy
Mosquito Population Increase
MBD Transmission
Cost Calculation
Numerical Example
Sensitivity Analyses
Drift Parameter r
Diffusion Parameter α
Transmission Parameter β
The in this is similar
Fixed Coefficient C A1 and Population Coefficient CA2
Treatment Cost Coefficient C P
C P iscan accelerate increasing value when
Conclusions
Full Text
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