2023
DOI: 10.3934/dcdsb.2022138
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Threshold dynamics and finite-time stability of reaction-diffusion vegetation-water systems in arid area with time-varying delay

Abstract: <p style='text-indent:20px;'>In this paper, deterministic and stochastic reaction-diffusion vege-tation-water systems with time-varying delay are developed, respectively. For the deterministic system, we define a threshold <inline-formula><tex-math id="M1">\begin{document}$ R_* $\end{document}</tex-math></inline-formula> and discuss the threshold dynamics of the system. When <inline-formula><tex-math id="M2">\begin{document}$ R_*&lt;1 $\end{document}</tex-math&g… Show more

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