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GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR SOME COUPLED SYSTEMS VIA A LYAPUNOV FUNCTIONAL
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作者 Lamia DJEBARA Salem ABDELMALEK samir bendoukha 《Acta Mathematica Scientia》 SCIE CSCD 2019年第6期1538-1550,共13页
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 ... 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. 展开更多
关键词 EPIDEMIC model REACTION-DIFFUSION global EXISTENCE of SOLUTIONS ASYMPTOTIC stability
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Stabilization and Synchronization of Discrete-time Fractional Chaotic Systems with Non-identical Dimensions
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作者 samir bendoukha 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2021年第3期523-538,共16页
This paper investigates the stabilization and synchronization of two fractional chaotic maps proposed recently,namely the 2D fractional Hénon map and the 3D fractional generalized Hénon map.We show that alth... This paper investigates the stabilization and synchronization of two fractional chaotic maps proposed recently,namely the 2D fractional Hénon map and the 3D fractional generalized Hénon map.We show that although these maps have non–identical dimensions,their synchronization is still possible.The proposed controllers are evaluated experimentally in the case of non–identical orders or time–varying orders.Numerical methods are used to illustrate the results. 展开更多
关键词 discrete chaos fractional discrete calculus Hénon based maps stabilization synchronization
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Global asymptotic stability for a SEI reaction-diffusion model of infectious diseases with immigration
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作者 Salem Abdelmalek samir bendoukha 《International Journal of Biomathematics》 SCIE 2018年第3期289-305,共17页
关键词 流行模型 稳定性 SEI 传染疾病 移民 LYAPUNOV 反应 Matlab
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