Numerical threshold of linearly implicit Euler method for nonlinear infection-age SIR models
نویسندگان
چکیده
<p style='text-indent:20px;'>In this paper, we consider a numerical threshold of linearly implicit Euler method for nonlinear infection-age SIR model. It is shown that the shares equilibria and basic reproduction number <inline-formula><tex-math id="M1">\begin{document}$ R_0 $\end{document}</tex-math></inline-formula> age-independent models any stepsize. Namely, disease-free equilibrium globally stable processes when id="M2">\begin{document}$ R_0&lt;1 underlying endemic id="M3">\begin{document}$ R_0&gt;1 $\end{document}</tex-math></inline-formula>. A natural extension to presented with an initial mortality rate thresholds, i.e., numbers id="M4">\begin{document}$ R^h $\end{document}</tex-math></inline-formula>, are according infinite Leslie matrix. Although id="M5">\begin{document}$ not quadrature approximations exact id="M6">\begin{document}$ locally whenever id="M7">\begin{document}$ R^h&lt;1 Moreover, unique exists id="M8">\begin{document}$ R^h&gt;1 which processes. much more important both thresholds converge ones accuracy order 1. Therefore, local dynamical behaviors visually displayed by Finally, applications influenza illustrate our results.</p>
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems-series B
سال: 2023
ISSN: ['1531-3492', '1553-524X']
DOI: https://doi.org/10.3934/dcdsb.2022067