Stochastic Study using Markov chains for the Transmission of Dengue

被引:0
作者
Manuel Delgado-Moya, Erick [1 ]
Marrero-Severo, Aymee [1 ]
机构
[1] Univ La Habana, Havana, Cuba
关键词
Control; dengue; epidemic; Markov chains; model; probability;
D O I
10.15359/ru.32-1.7
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Dengue is a viral disease transmitted to humans by bites of the Aedes aegypti mosquito which can lead to different stages of the disease. Dengue has now widely spread in the world and affects millions of people. In this paper, we present a study based on the transition matrix of a homogeneous Markov chain, in which its states coincide with the possible stages a person goes through in the transmission dynamics of Dengue, and the behavior of the entities is observed over time. The paper also proposes a control strategy based on the transcendental probability weight incorporated in the matrix to reduce the impact of the epidemic on the society. The success of the model Markov proposed is that it is complex enough to describe certain nontrivial features of some systems; but, at the same time, it is simple to be analyzed mathematically.
引用
收藏
页码:108 / 117
页数:10
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