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

doi:10.1007/s10473-019-0606-7

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (6): 1538-1550.doi: 10.1007/s10473-019-0606-7

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

Lamia DJEBARA¹, Salem ABDELMALEK², Samir BENDOUKHA³

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

收稿日期:2018-08-08 修回日期:2019-01-07 出版日期:2019-12-25 发布日期:2019-12-30
通讯作者: Samir BENDOUKHA,E-mail:sbendoukha@taibahu.edu.sa E-mail:sbendoukha@taibahu.edu.sa
作者简介:Lamia DJEBARA,E-mail:djebara.lamia@univ-khenchela.dz;Salem ABDELMALEK,E-mail:sallllm@gmail.com

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

Lamia DJEBARA¹, Salem ABDELMALEK², Samir BENDOUKHA³

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:2018-08-08 Revised:2019-01-07 Online:2019-12-25 Published:2019-12-30
Contact: Samir BENDOUKHA,E-mail:sbendoukha@taibahu.edu.sa E-mail:sbendoukha@taibahu.edu.sa

摘要/Abstract

摘要： 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.

关键词: epidemic model, reaction-diffusion, global existence of solutions, asymptotic stability

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.

Key words: epidemic model, reaction-diffusion, global existence of solutions, asymptotic stability

中图分类号:

35K45

Lamia DJEBARA, Salem ABDELMALEK, Samir BENDOUKHA. GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR SOME COUPLED SYSTEMS VIA A LYAPUNOV FUNCTIONAL[J]. 数学物理学报(英文版), 2019, 39(6): 1538-1550.

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.

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

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

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