Open AccessA mathematical analysis of the dynamics of chikungunya virus transmission
Author(s) -
Saiful Islam,
Chandra Nath Podder
Publication year - 2021
Publication title -
ganit
Language(s) - English
Resource type - Journals
eISSN - 2224-5111
pISSN - 1606-3694
DOI - 10.3329/ganit.v41i1.55025
Subject(s) - invariance principle , lyapunov function , mathematics , stability (learning theory) , chikungunya , stability theory , transmission (telecommunications) , basic reproduction number , function (biology) , mathematical optimization , outbreak , computer science , virology , biology , telecommunications , population , philosophy , linguistics , physics , demography , quantum mechanics , nonlinear system , machine learning , sociology , evolutionary biology
In this paper, a deterministic model for the dynamics of chikungunya virus transmission is formulated and analyzed. It is shown that the model has a disease free equilibrium (DFE) and by using the basic reprodution number (R0) local stability of DFE is proved when R0 1 and establish the global stability of the EE when R0 > 1, by using Lyapunov function and LaSalle Invariance Principle for a special case. Numerical simulations and sensitivity analysis show that the destruction of breeding sites and reduction of average life spans of vector would be effective prevention to control the outbreak. Controlling of effective contact rates and reducing transmissions probabilities may reduce the disease prevalence.GANITJ. Bangladesh Math. Soc.41.1 (2021) 41-61