An SIR-Dengue transmission model with seasonal effects and impulsive control.

Citation data:

Mathematical biosciences, ISSN: 1879-3134, Vol: 289, Page: 29-39

Publication Year:
2017
Usage 17
Abstract Views 15
Link-outs 2
Captures 19
Readers 18
Exports-Saves 1
Social Media 134
Shares, Likes & Comments 121
Tweets 13
Citations 3
Citation Indexes 3
PMID:
28434995
DOI:
10.1016/j.mbs.2017.04.005
Author(s):
Páez Chávez, Joseph; Götz, Thomas; Siegmund, Stefan; Wijaya, Karunia Putra
Publisher(s):
Elsevier BV
Tags:
Mathematics; Biochemistry, Genetics and Molecular Biology; Immunology and Microbiology; Agricultural and Biological Sciences
Most Recent Tweet View All Tweets
article description
In recent decades, Dengue fever and its deadly complications, such as Dengue hemorrhagic fever, have become one of the major mosquito-transmitted diseases, with an estimate of 390 million cases occurring annually in over 100 tropical and subtropical countries, most of which belonging to the developing world. Empirical evidence indicates that the most effective mechanism to reduce Dengue infections is to combat the disease-carrying vector, which is often implemented via chemical pesticides to destroy mosquitoes in their adult or larval stages. The present paper considers an SIR epidemiological model describing the vector-to-host and host-to-vector transmission dynamics. The model includes pesticide control represented in terms of periodic impulsive perturbations, as well as seasonal fluctuations of the vector growth and transmission rates of the disease. The effectiveness of the control strategy is studied numerically in detail by means of path-following techniques for non-smooth dynamical systems. Special attention is given to determining the optimal timing of the pesticide applications, in such a way that the number of infections and the required amount of pesticide are minimized.