F. Victorien Konané, R. Sawadogo, Mathematical analysis of a deterministic and a stochastic epidemic models of dengue, Eur. J. Math. Appl. 3 (2023), Article ID 3.
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Volume 3 (2023), Article ID 3
https://doi.org/10.28919/ejma.2023.3.3
Published: 20/02/2023
Abstract:
In this paper, a comparative study of a deterministic model with its associated stochastic model was carried out. The thresholds of the model considered, denoted $\mathcal{R}_0$, $\mathcal{R}_0^H$ and $\mathcal{R}_0^m$, which can determine the extinction and persistence in mean of dengue, were calculated. Specifically, if $\mathcal{R}_0<1$, the deterministic model analysis shows that dengue disappears, while if $\mathcal{R}_0<1$ and $\mathcal{R}_0^H >1$ or $\mathcal{R}_0^m>1$, the disease persists in the population.
How to Cite:
F. Victorien Konané, R. Sawadogo, Mathematical analysis of a deterministic and a stochastic epidemic models of dengue, Eur. J. Math. Appl. 3 (2023), Article ID 3. https://doi.org/10.28919/ejma.2023.3.3