Disease transmission dynamics of an epidemiological predator-prey system in open advective environments

نویسندگان

چکیده

<p style='text-indent:20px;'>This paper delves into the dynamics of a spatial eco-epidemiological system with disease spread within predator population in open advective environments. The disease-free subsystem is first discussed, and net reproductive rate <inline-formula><tex-math id="M1">\begin{document}$ R_P $\end{document}</tex-math></inline-formula> established to determine whether can invade successfully. impacts advection on id="M2">\begin{document}$ are also discussed. Then for scenario successful invasion predator, sufficient conditions prevalence local stability attractor obtained by dint persistence theory comparison theorem. Finally, we present special numerical example, which basic reproduction ratio id="M3">\begin{document}$ R_0 absence or presence periodic perturbation. Our theoretical results both indicate that an intermediate interval favor coexistence prey healthy as well eradication disease.</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.2022131