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Dynamical Behavior of a Spatiotemporal Model in Open Advective Environments

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Abstract

We investigate a reaction-diffusion-advection system describing the interaction between a population and a toxicant in open advective environments. The interesting feature of this model is the consideration of a more general advective term and boundary condition. By applying the theory of monotone semi-flow and principal eigenvalue, we obtain the existence and stability of steady states and further present a clear picture on the local and global dynamics. We explore the effects of toxicants on populations and give some sufficient conditions for the existence or extinction of the population.

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Funding

This research was funded by the National Natural Science Foundation of China, grant number 12171418.

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Authors and Affiliations

  1. School of Mathematical Science, Yangzhou University, Yangzhou, 225002, China

    Ying Yu, Zhi Ling & You Zhou

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  1. Ying Yu
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  2. Zhi Ling
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  3. You Zhou
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Y. Yu, Z. Ling and Y. Zhou wrote the main manuscript text. All authors reviewed and approved the final manuscript.

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Correspondence to You Zhou.

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Yu, Y., Ling, Z. & Zhou, Y. Dynamical Behavior of a Spatiotemporal Model in Open Advective Environments. Acta Appl Math 187, 1 (2023). https://doi.org/10.1007/s10440-023-00593-3

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