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- W2788382332 abstract "A non-linear mathematical model with non-integer order γ, $0 < gamma leq 1$ , is used to analyze the dengue virus transmission in the human body. Both disease-free $mathcal{F}_{0}$ and endemic $mathcal{F}^{*}$ equilibria are calculated. Their stability is also described using the stability theorem of non-integer order. The threshold parameter $mathcal{R}_{0}$ demonstrates an important behavior in the stability of a considerable model. For $mathcal{R}_{0} < 1$ , the disease-free equilibrium (DFE) $mathcal{F}_{0}$ is an attractor. For $mathcal{R}_{0} > 1$ , $mathcal{F}_{0}$ is not stable, the endemic equilibrium (EE) $mathcal{F}^{*}$ exists, and it is an attractor. Numerical examples of the proposed model are also proven to study the behavior of the system." @default.
- W2788382332 created "2018-03-06" @default.
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- W2788382332 date "2018-01-18" @default.
- W2788382332 modified "2023-09-24" @default.
- W2788382332 title "A non-integer order dengue internal transmission model" @default.
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- W2788382332 doi "https://doi.org/10.1186/s13662-018-1472-7" @default.
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