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A Free Boundary Model for Mosquitoes with Conditional Dispersal in a Globally Unfavorable Environment Induced by Climate Warming

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Abstract

One of the fundamental questions in population dynamics concerns the criterion for the persistence or extinction of a biological species subjected to their habitat changes. In this communication, to understand more clearly the impact of climate change on the global dynamics of mosquitoes proposed in Bao (JMB 76:841-875, 2018), we consider a reaction-diffusion free boundary model with conditional dispersal in a heterogeneous environment. Our main interest is to study long-time dynamics of solutions assuming that the environment is globally unfavorable determined by a spectral condition at infinity. The mathematical models to describe the dynamics of a population facing climate change have arisen many challenges in science and application and our result makes a theoretically substantial contribution besides the previous works (Bao in JMB 76:841-875, 2018; Monobe in JDE 261:6144-6177, 2016; Shen in JMB 84:30-42, 2022; Shen in JDE 269:6236-6268, 2020; Vo in JDE 259:4947-4988, 2015) for the study of the impact of the climate change with the conditional dispersal and free boundary.

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Acknowledgements

We are grateful to the anonymous reviewer for their careful reading and helpful suggestions. Part of this work has been done while the second author was visiting Vietnam Institute for Advanced Study in Mathematics, whose hospitality has been acknowledged.

Funding

Phuong Le is supported by University of Economics and Law, Vietnam National University, Ho Chi Minh City, Vietnam, H-H. Vo is supported by Saigon University.

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Authors and Affiliations

  1. Faculty of Economic Mathematics, University of Economics and Law, Ho Chi Minh City, Vietnam

    Phuong Le

  2. Vietnam National University, Ho Chi Minh City, Vietnam

    Phuong Le

  3. Faculty of Mathematics and Applications, Saigon University, 273 An Duong Vuong St., Ward 3, Dist. 5, Ho Chi Minh City, Vietnam

    Hoang-Hung Vo

Authors
  1. Phuong Le
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  2. Hoang-Hung Vo
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The authors have equal contributions to this paper.

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Correspondence to Hoang-Hung Vo.

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Le, P., Vo, HH. A Free Boundary Model for Mosquitoes with Conditional Dispersal in a Globally Unfavorable Environment Induced by Climate Warming. J Dyn Diff Equat 36, 1703–1719 (2024). https://doi.org/10.1007/s10884-023-10291-1

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  • DOI: https://doi.org/10.1007/s10884-023-10291-1

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