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- W3203954120 abstract "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. Also, the global stability of DFE is investigated by Lyapunov function and LaSalle Invariance Principle. We show that there exists a unique endemic equilibrium (EE) of the model which is locally asymptotically stable whenever 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" @default.
- W3203954120 created "2021-10-11" @default.
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- W3203954120 date "2021-10-05" @default.
- W3203954120 modified "2023-09-26" @default.
- W3203954120 title "A mathematical analysis of the dynamics of chikungunya virus transmission" @default.
- W3203954120 doi "https://doi.org/10.3329/ganit.v41i1.55025" @default.
- W3203954120 hasPublicationYear "2021" @default.
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