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Global Existence and Asymptotic Behavior of Solutions for Some Coupled Systems via a Lyapunov Functional

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Abstract

The purpose of this work is to study the global existence and asymptotic behavior of solutions to a coupled reaction-diffusion system describing epidemiological or chemical situations. Our analytical proofs are based on the Lyapunov functional methods.

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Acknowledgements

The authors would like to thank Prof. Amar Youkana of Batna University, Algeria, for his help and guidance throughout this work.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, ICOSI Laboratory, University of Khenchela, Khenchela, 04000, Algeria

    Lamia Djebara

  2. Department of Mathematics and Informatics, Faculty of Exact Sciences and Natural Sciences and Life, University of Larbi Tebessi, Tebessa, 12002, Algeria

    Salem Abdelmalek

  3. Electrical Engineering Department, College of Engineering at Yanbu, Taibah University, Medina, Saudi Arabia

    Samir Bendoukha

Authors
  1. Lamia Djebara
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  2. Salem Abdelmalek
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  3. Samir Bendoukha
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Correspondence to Samir Bendoukha.

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Djebara, L., Abdelmalek, S. & Bendoukha, S. Global Existence and Asymptotic Behavior of Solutions for Some Coupled Systems via a Lyapunov Functional. Acta Math Sci 39, 1538–1550 (2019). https://doi.org/10.1007/s10473-019-0606-7

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  • DOI: https://doi.org/10.1007/s10473-019-0606-7

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