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Environmental impact on the spread of dengue virus when two mosquito species circulate
Author(s)
Date Issued
January 1, 2017
Type
Article
Abstract
We study the environmental impact on the dengue fever epidemic when two species of mosquitoes namely the Aedes aegypti and Aedes albopictus circulate. The infected populations of the humans and of mosquito species are each divided into two groups, the being infected but not infectious and the other infected and infectious (I). A SEIR model and SEI model are developed for the human and the two mosquito populations, respectively. The dynamical behaviors of the three populations are obtained by simulating the behaviors by numerically solving the differential equations which describe the models. Changes in the trajectories when the values of the environment dependent parameters are changed reveal the influence of the environment on the spread of the dengue virus. Often the values of the parameters in the two SEI models will depend on how a particular mosquito specie interacts with the environment and so the values of the parameters will be different in the two SEI models. This makes possible that the basic production numbers of the two species (Saegypti and Salbopictus) will be different giving different Si‘s which give the following combinations (Saegypti > 1, Salbopictus > 1), (Saegypti > 1, Salbopictus < 1), (Saegypti < 1, Salbopictus > 1) and (Saegypti < 1, Salbopictus < 1). When the different conditions are satisfied, nature will have both species present, only one specie present or no species present.
Citation
Far East Journal of Mathematical Sciences, 101(1), 137-170, 2017