Effective Control Strategies on the Transmission Dynamics of a Vector-Borne Disease

Abstract

In this paper, we have rigorously analyzed a model to find the effective control strategies on the transmission dynamics of a vector-borne disease. It is proved that the global dynamics of the disease are completely determined by the basic reproduction number. The numerical simulations (using MatLab and Maple) of the model reveal that the precautionary measures at the aquatic and adult stage decrease the number of new cases of dengue virus. Numerical simulation indicates that if we take the precautionary measures seriously then it would be more effective than even giving the treatment to the infected individuals.

EVD Outbreak-2014: Burden of the Disease and Comprehensive Steps in Preventing the Epidemic

“…As we know that the disease will no longer persist in the community if the reproduction number becomes less than unity [14].…”

Qualitative Analysis of a Dengue Fever Model

“…It is a mosquito-borne viral infection, which is endemic in more than a hundred countries in the world [1][2][3], usually in the tropical and sub-tropical regions of the world [1,4,5]. In recent years, the transmission has increased, predominantly in the urban and semi-urban areas [1,4], where 50-390 million people worldwide per year are infected, leading to half a million hospitalizations [3, 6,7], with an approximate 25,000 deaths [3, 6,8].…”

“…The Dengue infection causes a spectrum of illness in humans, ranging from clinically inapparent, to severe and fatal hemorrhagic disease [5,10]. The incubation period (time between infection and appearance of symptoms) is from 3-14 days, but often, it is 4-7 days [3, 6,11], and is generally observed clearly in older children and adults [5]. Dengue fever is characterized by the sudden onset of fever, frontal headache, nausea, vomiting, and other symptoms.…”

“…The use of mathematics in explaining the epidemiology of Dengue fever has been extensively studied by many researchers over the years, notable among these studies by the following authors [2,5,6,9,[11][12][13]. In this study, since Dengue fever is spread between two-interacting populations (human-vector), we have designed and analysed a mathematical compartmental model that considers the human population and the vector population (mosquito).…”

“…In this study, since Dengue fever is spread between two-interacting populations (human-vector), we have designed and analysed a mathematical compartmental model that considers the human population and the vector population (mosquito). We extended the earlier model [6] by incorporating a 'standard force of infection' with the proportion of antibodies that were produced by a human in response to the incidence of infection that was caused by mosquitos, and vice versa. Additionally, an extension of the work is to consider some of the control effects or precautionary measures of the vector in the absence of a vaccination.…”