Mathematical model on the transmission dynamics of Dengue virus and its global stability
Journal Title: JOURNAL OF BIOLOGICAL ENGINEERING RESEARCH AND REVIEW - Year 2018, Vol 5, Issue 2
Abstract
We formulate a mathematical model of Dengue virus by considering two population sizes of human and mosquito. We define a basic reproductive number R0 and equilibrium points for our model. We prove that the disease-free equilibrium is globally stable when R0 < 1, which means the disease will die out and when đť‘… > 1, the endemic equilibrium is globally stable. Various numerical simulations using MATLAB are carried out to establish the analytical results. The efficacy of personal protection from mosquito to human and from pregnant women to newborn child are also carried out by numerical simulations.
Authors and Affiliations
Buddhadeo Mahato
Keywords
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