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Global and local asymptotic stability of an epidemic reaction‐diffusion model with a nonlinear incidence

Mathematical methods in the applied sciences, 2022-07, Vol.45 (11), p.6766-6790

2022

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Invariant regions and global solutions for reaction-diffusion systems with a tridiagonal symmetric Toeplitz matrix of diffusion coefficients

Electronic journal of differential equations, 2014-11, Vol.2014 (247), p.1-14

Salem Abdelmalek

2014

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On the local and global asymptotic stability of the Degn‐Harrison reaction‐diffusion model

Mathematical methods in the applied sciences, 2019-01, Vol.42 (2), p.567-577

2019

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Extended Global Asymptotic Stability Conditions for a Generalized Reaction–Diffusion System

Acta applicandae mathematicae, 2019-04, Vol.160 (1), p.1-20

2019

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Asymptotic stability of an epidemiological fractional reaction-diffusion model

Demonstratio mathematica, 2023-06, Vol.56 (1), p.1-25

2023

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Global Existence and Asymptotic Stability for a Class of Coupled Reaction-Diffusion Systems on Growing Domains

Acta applicandae mathematicae, 2021-02, Vol.171 (1), Article 17

2021

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Asymptotic stability of solutions for a diffusive epidemic model

Demonstratio mathematica, 2022-09, Vol.55 (1), p.553-573

2022

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Coexistence of some chaos synchronization types in fractional-order differential equations

Electronic journal of differential equations, 2017-05, Vol.2017 (128), p.1-15

2017

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Fractional Order Unknown Inputs Fuzzy Observer for Takagi–Sugeno Systems with Unmeasurable Premise Variables

Mathematics (Basel), 2019-10, Vol.7 (10), p.984

2019

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Global asymptotic stability of a diffusive SVIR epidemic model with immigration of individuals

Electronic journal of differential equations, 2016-10, Vol.2016 (284), p.1-14

2016

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Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities

Electronic journal of differential equations, 2016-06, Vol.2016 (156), p.1-11

2016

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Nonexistence of solutions to Cauchy problems for fractional time semi-linear pseudo-hyperbolic systems

Electronic journal of differential equations, 2016-01, Vol.2016 (20), p.1-14

2016

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On the global asymptotic stability of solutions to a generalised Lengyel–Epstein system

Nonlinear analysis: real world applications, 2017-06, Vol.35, p.397-413

2017

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Boundedness and large-time behavior of solutions for a Gierer-Meinhardt system of three equations

Electronic journal of differential equations, 2015-04, Vol.2015 (94), p.1-14

2015

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ELASTIC MEMBRANE EQUATION WITH MEMORY TERM AND NONLINEAR BOUNDARY DAMPING： GLOBAL EXISTENCE, DECAY AND BLOWUP OF THE SOLUTION

Acta mathematica scientia, 2013, Vol.33 (1), p.84-106

2013

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Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Tridiagonal Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions

Journal of Applied Mathematics, 2007, Vol.2007, p.1-15

Salem, Abdelmalek

2007

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Bifurcations and pattern formation in a generalized Lengyel–Epstein reaction–diffusion model

Chaos, solitons and fractals, 2020-03, Vol.132, p.109579, Article 109579

2020

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Asymptotic stability conditions for autonomous time–fractional reaction–diffusion systems

Communications in nonlinear science & numerical simulation, 2020-01, Vol.80, p.104982, Article 104982

2020

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A Newton interpolation based predictor–corrector numerical method for fractional differential equations with an activator–inhibitor case study

Mathematics and computers in simulation, 2021-09, Vol.187, p.391-413

2021

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On the asymptotic stability of the time-fractional Lengyel–Epstein system

Computers & mathematics with applications (1987), 2019-09, Vol.78 (5), p.1415-1430

2019

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A new combined actuator fault estimation and accommodation for linear parameter varying system subject to simultaneous and multiple faults: an LMIs approach

Soft computing (Berlin, Germany), 2019-10, Vol.23 (20), p.10449-10462

2019

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Existence of global solutions for a Gierer-Meinhardt system with three equations

Electronic journal of differential equations, 2012-04, Vol.2012 (55), p.1-8

2012

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The global existence and asymptotic stability of solutions for a reaction–diffusion system

Nonlinear analysis: real world applications, 2020-06, Vol.53, p.103052, Article 103052

2020

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A high‐order predictor–corrector method for initial value problems with fractional derivative involving Mittag–Leffler kernel

Mathematical methods in the applied sciences, 2023-01

2023

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Global existence of solutions for an m-component cross-diffusion system with a 3-component case study

Nonlinear analysis: real world applications, 2019-02, Vol.45, p.262-284

2019

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Global and local asymptotic stability of an epidemic reaction‐diffusion model with a nonlinear incidence

Invariant regions and global solutions for reaction-diffusion systems with a tridiagonal symmetric Toeplitz matrix of diffusion coefficients

On the local and global asymptotic stability of the Degn‐Harrison reaction‐diffusion model

Extended Global Asymptotic Stability Conditions for a Generalized Reaction–Diffusion System

Asymptotic stability of an epidemiological fractional reaction-diffusion model

Global Existence and Asymptotic Stability for a Class of Coupled Reaction-Diffusion Systems on Growing Domains

Asymptotic stability of solutions for a diffusive epidemic model

Coexistence of some chaos synchronization types in fractional-order differential equations

Fractional Order Unknown Inputs Fuzzy Observer for Takagi–Sugeno Systems with Unmeasurable Premise Variables

Global asymptotic stability of a diffusive SVIR epidemic model with immigration of individuals

Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities

Nonexistence of solutions to Cauchy problems for fractional time semi-linear pseudo-hyperbolic systems

On the global asymptotic stability of solutions to a generalised Lengyel–Epstein system

Boundedness and large-time behavior of solutions for a Gierer-Meinhardt system of three equations

ELASTIC MEMBRANE EQUATION WITH MEMORY TERM AND NONLINEAR BOUNDARY DAMPING： GLOBAL EXISTENCE, DECAY AND BLOWUP OF THE SOLUTION

Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Tridiagonal Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions

Bifurcations and pattern formation in a generalized Lengyel–Epstein reaction–diffusion model

Asymptotic stability conditions for autonomous time–fractional reaction–diffusion systems

A Newton interpolation based predictor–corrector numerical method for fractional differential equations with an activator–inhibitor case study

On the asymptotic stability of the time-fractional Lengyel–Epstein system

A new combined actuator fault estimation and accommodation for linear parameter varying system subject to simultaneous and multiple faults: an LMIs approach

Existence of global solutions for a Gierer-Meinhardt system with three equations

The global existence and asymptotic stability of solutions for a reaction–diffusion system

A high‐order predictor–corrector method for initial value problems with fractional derivative involving Mittag–Leffler kernel

Global existence of solutions for an m-component cross-diffusion system with a 3-component case study

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