GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR SOME COUPLED SYSTEMS VIA A LYAPUNOV FUNCTIONAL

  • Lamia DJEBARA ,
  • Salem ABDELMALEK ,
  • Samir BENDOUKHA
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  • 1. Department of Mathematics and Computer Science, ICOSI Laboratory, University of Khenchela, Khenchela, 04000, Algeria;
    2. Department of Mathematics and Informatics, Faculty of Exact Sciences and Natural Sciences and Life, University of Larbi Tebessi, Tebessa, 12002, Algeria;
    3. Electrical Engineering Department, College of Engineering at Yanbu, Taibah University, Saudi Arabia

Received date: 2018-08-08

  Revised date: 2019-01-07

  Online published: 2019-12-30

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.

Cite this article

Lamia DJEBARA , Salem ABDELMALEK , Samir BENDOUKHA . GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR SOME COUPLED SYSTEMS VIA A LYAPUNOV FUNCTIONAL[J]. Acta mathematica scientia, Series B, 2019 , 39(6) : 1538 -1550 . DOI: 10.1007/s10473-019-0606-7

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