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Novel Insight into a Single-Species Metapopulation Model with Time Delays

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Abstract

Complex metapopulation dynamics research has a profound impact on our understanding of the relationship between species and their habitats. In this paper, the dynamical behaviors of the single-species metapopulation model with reproductive and reaction time delays based on Levins’ model are investigated by analyzing stability charts, rightmost characteristic roots, and bifurcation diagrams of the positive equilibrium. Finally, the theoretical results are compared with the numerical results.

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Acknowledgements

We are grateful to the anonymous referees for their valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, 730070, Gansu, People’s Republic of China

    Xiangming Zhang & Mengmeng Hou

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  1. Xiangming Zhang
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  2. Mengmeng Hou
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Contributions

Xiangming Zhang wrote the main manuscript text. The second author, Mengmeng Hou, was added, who not only verified the theoretical derivation of the manuscript again, but also modified the grammar and fluency in the manuscript.

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Correspondence to Xiangming Zhang.

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This work was partially supported by the National Natural Science Foundation of China (No. 12201271), the Science Foundation for Young Scientists of Gansu Province of China (No. 20JR10RA253) and the Tianyou Youth Talent Lift Program of Lanzhou Jiaotong University.

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Zhang, X., Hou, M. Novel Insight into a Single-Species Metapopulation Model with Time Delays. Qual. Theory Dyn. Syst. 22, 130 (2023). https://doi.org/10.1007/s12346-023-00829-5

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