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- W4285306229 abstract "In this chapter, we study an epidemic model described by the Caputo fractional derivative. The considered disease model is the fractional SEIR model. We provide the condition for the existence of the endemic point using the main value theorem. Local stability and global asymptotic stability of the equilibrium points of the SEIR model with the Matignon criterion and Lyapunov direct method are presented. Two numerical schemes are used to get the behaviors of the dynamics of the considered epidemic model. To support the numerical schemes, we provide the graphical representations of the considered SEIR disease model. The impact of the fractional-order derivative in the dynamics of the considered disease model is proposed and analyzed." @default.
- W4285306229 created "2022-07-14" @default.
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- W4285306229 date "2022-01-01" @default.
- W4285306229 modified "2023-10-02" @default.
- W4285306229 title "Numerical methods applied to a class of SEIR epidemic models described by the Caputo derivative" @default.
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- W4285306229 doi "https://doi.org/10.1016/b978-0-323-99888-8.00003-6" @default.
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