Compute Distance To:
 Documents Indexed: 38 Publications since 2011 Co-Authors: 33 Co-Authors with 37 Joint Publications 387 Co-Co-Authors
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### Co-Authors

 1 single-authored 30 Settati, Adel 10 El Fatini, Mohamed 8 El Jarroudi, Mustapha 6 Omari, Lahcen 4 El Mahjour, Hamza 3 Belmaâti, Aziza 3 Hajjami, Riane 3 Kiouach, Driss 3 Pettersson, Roger 3 Taki, Regragui 3 Tridane, Abdessamad 2 Assadouq, Abdelaziz 2 El Jarroudi, Moussa 2 Erriani, M. 2 Mandal, Partha Sarathi 1 Akharif, Abdelhadi 1 Azrar, Lahcen 1 Ben Said, Mohamed 1 Berrhazi, Badreddine 1 Caraballo Garrido, Tomás 1 El Haitami, A. 1 El Jarroudi, H. 1 El Khalifi, Mohamed 1 El Myr, Ali 1 Er-Riani, Mustapha 1 Fatini, M. El 1 Filali, Youness 1 Imlahi, Abdelouahid 1 Jarroudi, M. 1 Mahjour, H. 1 Merzguioui, M. 1 Seaïd, Mohammed 1 Zahri, Mostafa
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### Serials

 5 Applied Mathematics and Computation 3 Mathematical Methods in the Applied Sciences 3 Physica A 3 Discrete and Continuous Dynamical Systems. Series B 3 International Journal of Biomathematics 2 Chaos, Solitons and Fractals 2 Statistics & Probability Letters 2 Differential Equations and Dynamical Systems 1 Applicable Analysis 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Stochastic Analysis and Applications 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Nonlinear Dynamics 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Discrete Dynamics in Nature and Society 1 Nonlinear Analysis. Modelling and Control 1 Stochastics and Dynamics 1 Journal of Applied Mathematics and Computing 1 International Journal of Computational Methods 1 Networks and Heterogeneous Media 1 Arabian Journal of Mathematics
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### Fields

 32 Biology and other natural sciences (92-XX) 20 Probability theory and stochastic processes (60-XX) 15 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

26 Publications have been cited 593 times in 415 Documents Cited by Year
Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence. Zbl 1402.92396
2013
Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model. Zbl 1271.93015
Lahrouz, A.; Kiouach, D.; Omari, L.
2011
Stationary distribution of stochastic population systems under regime switching. Zbl 1335.92084
2014
Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination. Zbl 1237.92054
Lahrouz, Aadil; Omari, Lahcen; Kiouach, Driss; Belmaâti, Aziza
2012
Necessary and sufficient condition for extinction and persistence of SIRS system with random perturbation. Zbl 1334.92412
2014
Deterministic and stochastic stability of a mathematical model of smoking. Zbl 1219.92043
Lahrouz, A.; Omari, L.; Kiouach, D.; Belmaâti, A.
2011
Asymptotic properties of switching diffusion epidemic model with varying population size. Zbl 1304.92121
2013
Stochastic stability and instability of an epidemic model with relapse. Zbl 1426.92073
2018
Qualitative study of a nonlinear stochastic SIRS epidemic system. Zbl 1302.92131
2014
Effects of stochastic perturbation on the SIS epidemic system. Zbl 1365.60063
2017
Dynamics of a switching diffusion modified Leslie-Gower predator-prey system with Beddington-DeAngelis functional response. Zbl 1355.37101
2016
Dynamics of a delayed epidemic model with varying immunity period and nonlinear transmission. Zbl 1328.92078
2015
Dynamics of hybrid switching diffusions SIRS model. Zbl 1366.60098
2016
Comparison of deterministic and stochastic SIRS epidemic model with saturating incidence and immigration. Zbl 1337.60154
2015
Homogenization of elastic materials reinforced by rigid notched fibres. Zbl 1397.35015
El Jarroudi, M.; Er-Riani, M.; Lahrouz, A.; Settati, A.
2018
Probability analysis of a perturbed epidemic system with relapse and cure. Zbl 07136610
2020
A note on stochastic Gilpin-Ayala population model with dispersal. Zbl 1379.92049
2017
Global dynamics of an epidemic model with incomplete recovery in a complex network. Zbl 1437.92125
Lahrouz, Aadil; Settati, Adel; El Mahjour, Hamza; El Jarroudi, Mustapha; El Fatini, Mohamed
2020
The effect of a generalized nonlinear incidence rate on the stochastic SIS epidemic model. Zbl 1476.37102
2021
A stochastic SIR epidemic system with a nonlinear relapse. Zbl 1417.92173
2018
Stability and ergodicity of a stochastic Gilpin-Ayala model under regime switching on patches. Zbl 1376.92050
2017
Global stability and positive recurrence of a stochastic SIS model with Lévy noise perturbation. Zbl 07563407
2019
Mittag-Leffler stability and bifurcation of a nonlinear fractional model with relapse. Zbl 1460.34102
2021
The effect of stochasticity with respect to reinfection and nonlinear transition states for some diseases with relapse. Zbl 1467.92192
2020
Study of dynamical properties in a bi-dimensional model describing the prey-predator dynamics with strong Allee effect in prey. Zbl 1413.92028
2017
Dynamics and optimal control of a non-linear epidemic model with relapse and cure. Zbl 07548475
Lahrouz, A.; El Mahjour, H.; Settati, A.; Bernoussi, A.
2018
The effect of a generalized nonlinear incidence rate on the stochastic SIS epidemic model. Zbl 1476.37102
2021
Mittag-Leffler stability and bifurcation of a nonlinear fractional model with relapse. Zbl 1460.34102
2021
Probability analysis of a perturbed epidemic system with relapse and cure. Zbl 07136610
2020
Global dynamics of an epidemic model with incomplete recovery in a complex network. Zbl 1437.92125
Lahrouz, Aadil; Settati, Adel; El Mahjour, Hamza; El Jarroudi, Mustapha; El Fatini, Mohamed
2020
The effect of stochasticity with respect to reinfection and nonlinear transition states for some diseases with relapse. Zbl 1467.92192
2020
Global stability and positive recurrence of a stochastic SIS model with Lévy noise perturbation. Zbl 07563407
2019
Stochastic stability and instability of an epidemic model with relapse. Zbl 1426.92073
2018
Homogenization of elastic materials reinforced by rigid notched fibres. Zbl 1397.35015
El Jarroudi, M.; Er-Riani, M.; Lahrouz, A.; Settati, A.
2018
A stochastic SIR epidemic system with a nonlinear relapse. Zbl 1417.92173
2018
Dynamics and optimal control of a non-linear epidemic model with relapse and cure. Zbl 07548475
Lahrouz, A.; El Mahjour, H.; Settati, A.; Bernoussi, A.
2018
Effects of stochastic perturbation on the SIS epidemic system. Zbl 1365.60063
2017
A note on stochastic Gilpin-Ayala population model with dispersal. Zbl 1379.92049
2017
Stability and ergodicity of a stochastic Gilpin-Ayala model under regime switching on patches. Zbl 1376.92050
2017
Study of dynamical properties in a bi-dimensional model describing the prey-predator dynamics with strong Allee effect in prey. Zbl 1413.92028
2017
Dynamics of a switching diffusion modified Leslie-Gower predator-prey system with Beddington-DeAngelis functional response. Zbl 1355.37101
2016
Dynamics of hybrid switching diffusions SIRS model. Zbl 1366.60098
2016
Dynamics of a delayed epidemic model with varying immunity period and nonlinear transmission. Zbl 1328.92078
2015
Comparison of deterministic and stochastic SIRS epidemic model with saturating incidence and immigration. Zbl 1337.60154
2015
Stationary distribution of stochastic population systems under regime switching. Zbl 1335.92084
2014
Necessary and sufficient condition for extinction and persistence of SIRS system with random perturbation. Zbl 1334.92412
2014
Qualitative study of a nonlinear stochastic SIRS epidemic system. Zbl 1302.92131
2014
Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence. Zbl 1402.92396
2013
Asymptotic properties of switching diffusion epidemic model with varying population size. Zbl 1304.92121
2013
Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination. Zbl 1237.92054
Lahrouz, Aadil; Omari, Lahcen; Kiouach, Driss; Belmaâti, Aziza
2012
Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model. Zbl 1271.93015
Lahrouz, A.; Kiouach, D.; Omari, L.
2011
Deterministic and stochastic stability of a mathematical model of smoking. Zbl 1219.92043
Lahrouz, A.; Omari, L.; Kiouach, D.; Belmaâti, A.
2011
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### Cited by 633 Authors

 66 Jiang, Daqing 42 Hayat, Tasawar 35 Liu, Qun 27 Al-saedi, Ahmed Eid Salem 24 El Fatini, Mohamed 24 Lahrouz, Aadil 20 Settati, Adel 19 Teng, Zhi-dong 14 Zhang, Xinhong 11 Taki, Regragui 10 Pettersson, Roger 9 Laaribi, Aziz 8 Ahmad, Bashir 8 Meng, Xinzhu 8 Yuan, Sanling 8 Zhang, Qimin 7 Li, Zhiming 7 Wang, Weiming 7 Wen, Buyu 7 Witbooi, Peter Joseph 7 Zaman, Gul 7 Zhang, Xiaobing 6 Berrhazi, Badreddine 6 Caraballo Garrido, Tomás 6 El Jarroudi, Mustapha 6 Gao, Miaomiao 6 Zu, Li 5 Huo, Hai-Feng 5 Lin, Yuguo 5 Liu, Zhijun 5 Lu, Chun 5 Nguyen Huu Du 5 Omari, Lahcen 5 Rifhat, Ramziya 5 Shi, Ningzhong 5 Zhao, Dianli 4 Boukanjime, Brahim 4 Feng, Tao 4 Han, Qixing 4 Liu, Meng 4 Miao, Anqi 4 O’Regan, Donal 4 Qiu, Zhipeng 4 Song, Yi 4 Wanduku, Divine 4 Wang, Lianwen 4 Wen, Xiangdan 4 Zeb, Anwar 4 Zhang, Tonghua 4 Zhang, Tongqian 4 Zhao, Yanan 3 Abdurahman, Xamxinur 3 Ahmed, Ibrahim H. I. 3 Belmaâti, Aziza 3 Cai, Yongli 3 Cao, Zhongwei 3 Chang, Zhengbo 3 Chen, Qingmei 3 de la Sen, Manuel 3 El Khalifi, Mohamed 3 Gan, Chenquan 3 Hu, Junna 3 Hussain, Ghulam 3 Ibeas, Asier 3 Islam, Saeed 3 Ji, Chunyan 3 Jin, Manli 3 Khan, Muhammad Altaf 3 Kiouach, Driss 3 Liu, Gui Rong 3 Liu, Songnan 3 Mandal, Partha Sarathi 3 Mao, Xuerong 3 N’Zi, Modeste 3 Peng, Hao 3 Qi, Haokun 3 Rajaji, Ramasamy 3 Rong, Libin 3 Sekkak, Idriss 3 Wang, Feng 3 Wang, Lei 3 Wang, Liang 3 Wang, Shan 3 Xiang, Hong 3 Xu, Xiaojie 3 Yang, Ruizhi 3 Zahri, Mostafa 3 Zhao, Wencai 3 Zhou, Yanli 2 Akharif, Abdelhadi 2 Alonso Quesada, Santiago 2 Assadouq, Abdelaziz 2 Balatif, Omar 2 Bao, Kangbo 2 Bian, Feifei 2 Chen, Liang 2 Chen, Yuming 2 Dieu, Nguyen Thanh 2 Ding, Xiaohua 2 El Mahjour, Hamza ...and 533 more Authors
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### Cited in 98 Serials

 64 Physica A 36 Advances in Difference Equations 29 Applied Mathematics and Computation 21 Chaos, Solitons and Fractals 19 International Journal of Biomathematics 13 Stochastic Analysis and Applications 12 Discrete Dynamics in Nature and Society 11 Applied Mathematics Letters 10 Journal of the Franklin Institute 9 Discrete and Continuous Dynamical Systems. Series B 9 Journal of Applied Mathematics and Computing 8 Mathematical Biosciences and Engineering 7 Complexity 7 Nonlinear Analysis. Hybrid Systems 6 Mathematics and Computers in Simulation 6 Mathematical Problems in Engineering 6 Computational & Mathematical Methods in Medicine 5 Applicable Analysis 5 Nonlinear Dynamics 5 Journal of Applied Analysis and Computation 4 Applied Mathematical Modelling 4 Differential Equations and Dynamical Systems 4 Communications in Nonlinear Science and Numerical Simulation 4 Qualitative Theory of Dynamical Systems 4 Journal of Biological Dynamics 4 Journal of Applied Nonlinear Dynamics 3 Mathematical Methods in the Applied Sciences 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Filomat 3 Random Operators and Stochastic Equations 3 Abstract and Applied Analysis 3 Journal of Biological Systems 3 Nonlinear Analysis. Real World Applications 3 Stochastics and Dynamics 2 Journal of Mathematical Biology 2 Statistics & Probability Letters 2 Journal of Dynamics and Differential Equations 2 Journal of Nonlinear Science 2 Chaos 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Applied Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Mathematical Modelling of Natural Phenomena 2 Journal of Mathematics 2 Journal of Function Spaces 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Physics Letters. A 1 Bulletin of Mathematical Biology 1 Acta Mathematica Vietnamica 1 Automatica 1 BIT 1 Journal of Differential Equations 1 Kyungpook Mathematical Journal 1 Quaestiones Mathematicae 1 Systems & Control Letters 1 Mathematical Social Sciences 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 International Journal of Robust and Nonlinear Control 1 Continuum Mechanics and Thermodynamics 1 The Journal of Analysis 1 Journal of the Egyptian Mathematical Society 1 Fractals 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Discrete and Continuous Dynamical Systems 1 Mathematical Population Studies 1 Mathematics and Mechanics of Solids 1 CEJOR. Central European Journal of Operations Research 1 Nonlinear Analysis. Modelling and Control 1 Dynamical Systems 1 Journal of Systems Science and Complexity 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Stochastic Models 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Communications on Pure and Applied Analysis 1 Fuzzy Optimization and Decision Making 1 International Journal of Computational Methods 1 Boundary Value Problems 1 Stochastics 1 Networks and Heterogeneous Media 1 Journal of Mathematical Inequalities 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 GEM - International Journal on Geomathematics 1 Dynamic Games and Applications 1 S$$\vec{\text{e}}$$MA Journal 1 ISRN Applied Mathematics 1 Arabian Journal of Mathematics 1 Mathematical Sciences 1 Mathematics 1 International Journal of Applied and Computational Mathematics 1 Open Mathematics 1 AIMS Mathematics
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### Cited in 23 Fields

 342 Biology and other natural sciences (92-XX) 187 Probability theory and stochastic processes (60-XX) 185 Ordinary differential equations (34-XX) 45 Dynamical systems and ergodic theory (37-XX) 45 Statistical mechanics, structure of matter (82-XX) 25 Systems theory; control (93-XX) 12 Partial differential equations (35-XX) 12 Numerical analysis (65-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 3 Real functions (26-XX) 3 Operator theory (47-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 2 Measure and integration (28-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)