Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19
The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the propos...
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Published in | Results in physics Vol. 20; p. 103722 |
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Abstract | The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed. Efficiency of the proposed method is shown by listing the CPU time. It is shown that this method will work also for long-time behaviour. Numerical results and illustrative graphical simulation are given. The proposed discretization technique involves low computational cost. |
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AbstractList | The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed. Efficiency of the proposed method is shown by listing the CPU time. It is shown that this method will work also for long-time behaviour. Numerical results and illustrative graphical simulation are given. The proposed discretization technique involves low computational cost. The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed. Efficiency of the proposed method is shown by listing the CPU time. It is shown that this method will work also for long-time behaviour. Numerical results and illustrative graphical simulation are given. The proposed discretization technique involves low computational cost.The main purpose of this work is to study the dynamics of a fractional-order Covid-19 model. An efficient computational method, which is based on the discretization of the domain and memory principle, is proposed to solve this fractional-order corona model numerically and the stability of the proposed method is also discussed. Efficiency of the proposed method is shown by listing the CPU time. It is shown that this method will work also for long-time behaviour. Numerical results and illustrative graphical simulation are given. The proposed discretization technique involves low computational cost. |
ArticleNumber | 103722 |
Author | Hammouch, Zakia Sooppy Nisar, Kottakkaran Singh, Harendra Srivastava, H.M. |
Author_xml | – sequence: 1 givenname: Harendra surname: Singh fullname: Singh, Harendra email: harendra059@gmail.com organization: Department of Mathematics, Post-Graduate College, Ghazipur 233001, Uttar Pradesh, India – sequence: 2 givenname: H.M. surname: Srivastava fullname: Srivastava, H.M. email: harimsri@math.uvic.ca organization: Department of Mathematics and Statistics, University of Victoria, British Columbia V8W 3R4, Canada – sequence: 3 givenname: Zakia surname: Hammouch fullname: Hammouch, Zakia email: hammouch_zakia@tdmu.edu.vn organization: Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam – sequence: 4 givenname: Kottakkaran surname: Sooppy Nisar fullname: Sooppy Nisar, Kottakkaran email: n.sooppy@psau.edu.sa organization: Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, 11991 Wadi Aldawasir, Saudi Arabia |
BackLink | https://www.ncbi.nlm.nih.gov/pubmed/33520625$$D View this record in MEDLINE/PubMed |
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Cites_doi | 10.1016/j.aej.2020.02.033 10.1016/j.chaos.2017.05.042 10.1016/j.chaos.2020.109685 10.1016/j.physa.2019.04.120 10.1140/epjp/i2016-16200-x 10.1142/S0218348X20400411 10.3390/fractalfract4040049 10.1016/j.aej.2020.08.028 10.1201/9780429340567-4 10.1016/j.camwa.2010.11.009 10.3390/app10082850 10.1016/j.physa.2019.03.085 10.1016/j.chaos.2017.09.023 10.1007/s00601-017-1319-x 10.1016/j.chaos.2019.03.022 10.1186/s13662-020-02834-3 10.1016/j.aej.2020.07.014 10.1016/j.asej.2016.03.013 10.1007/s40819-017-0323-7 10.1007/s11071-012-0601-1 10.1007/s40819-016-0233-0 10.1016/j.apm.2016.08.011 10.1016/j.physa.2019.121077 10.1002/mma.6334 |
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Keywords | Fractional derivatives Stability analysis Corona virus model |
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References | Singh (b0060) 2017; 3 China virus death toll rises to 41, more than 1,300 infected worldwide. CNBC. 24 January 2020. Archived from the original on 26 January 2020. Retrieved 26 January 2020. Retrieved 30 January 2020. Mahmoud, Ahmed, Alsbagh (b0105) 2016; 131 Singh, Srivastava (b0025) 2019; 523 Petráš (b0135) 2011; 61 Singh, Akhavan Ghassabzadeh, Tohidi, Cattani (b0065) 2020; 43 Singh, Singh (b0040) 2018; 9 Mahmoud, Arafa, Abed-Elhameed, Mahmoud (b0110) 2017; 104 Wuhan, China Population 1950-2020, https://www.macrotrends.net/cities/20712/wuhan/population. Singh, Pandey, Baleanu (b0035) 2017; 58 Singh, Singh, Singh, Singh (b0020) 2016; 40 Khan, Gómez-Aguilar, Saeed Khan, Khan (b0100) 2019; 122 Shaikh, Shaikh, Nisar (b0130) 2020; 2020 Is the World Ready for the Coronavirus?. Editorial. The New York Times. 29 January 2020. Archived from the original on 30 January 2020. Gomez-Aguilar JF, C-Fraga T, Abdeljawad T, Khan A, Khan H. Analysis of fractal-fractional malaria transmission model. Fractals 2020 Oct 7:2040041. Atangana, Qureshi (b0120) 2020 Singh, Srivastava, Kumar (b0050) 2017; 103 Owolabi KM, Atangana A. Mathematical modelling and analysis of fractional epidemic models using derivative with exponential kernel. In: Fractional calculus in medical and health science. CRC Press; 2020, pp. 109–128. Singh, Singh, Singh, Kumar (b0030) 2019; 525 Kilbas, Srivastava, Trujillo (b0070) 2006; Vol. 204 Singh, Pandey, Singh, Tripathi (b0055) 2019; 527 Singh, Srivastava (b0115) 2020; 10 Singh, Sahoo, Singh (b0045) 2017; 3 Li, Ma (b0145) 2013; 71 Khan, Abdeljawad, Gómez-Aguilar, Khan (b0095) 2020; 134 Khan, Atangana (b0075) 2020; 59 Shah, Khan, Ali, Amin, Khan, Khan (b0080) 2020; 59 Sher, Shah, Khan, Khan, Khan (b0085) 2020; 59 Matignon D. Stability results for fractional differential equations with applications to control processing. In: Computational engineering in system application, Lille, France; 1996, pp. 963–968. 10.1016/j.rinp.2020.103722_b0125 Singh (10.1016/j.rinp.2020.103722_b0055) 2019; 527 Srivastava (10.1016/j.rinp.2020.103722_b9005) 2020; 4 Singh (10.1016/j.rinp.2020.103722_b0035) 2017; 58 10.1016/j.rinp.2020.103722_b0140 Sher (10.1016/j.rinp.2020.103722_b0085) 2020; 59 Khan (10.1016/j.rinp.2020.103722_b0075) 2020; 59 Singh (10.1016/j.rinp.2020.103722_b0025) 2019; 523 Shah (10.1016/j.rinp.2020.103722_b0080) 2020; 59 Mahmoud (10.1016/j.rinp.2020.103722_b0110) 2017; 104 10.1016/j.rinp.2020.103722_b0005 Mahmoud (10.1016/j.rinp.2020.103722_b0105) 2016; 131 Petráš (10.1016/j.rinp.2020.103722_b0135) 2011; 61 Srivastava (10.1016/j.rinp.2020.103722_b9010) 2020; 4 Kilbas (10.1016/j.rinp.2020.103722_b0070) 2006; Vol. 204 Singh (10.1016/j.rinp.2020.103722_b0050) 2017; 103 10.1016/j.rinp.2020.103722_b0090 Singh (10.1016/j.rinp.2020.103722_b0045) 2017; 3 Khan (10.1016/j.rinp.2020.103722_b0095) 2020; 134 Singh (10.1016/j.rinp.2020.103722_b0060) 2017; 3 Atangana (10.1016/j.rinp.2020.103722_b0120) 2020 10.1016/j.rinp.2020.103722_b0015 Singh (10.1016/j.rinp.2020.103722_b0115) 2020; 10 10.1016/j.rinp.2020.103722_b0010 Singh (10.1016/j.rinp.2020.103722_b0020) 2016; 40 Singh (10.1016/j.rinp.2020.103722_b0030) 2019; 525 Singh (10.1016/j.rinp.2020.103722_b0065) 2020; 43 Khan (10.1016/j.rinp.2020.103722_b0100) 2019; 122 Srivastava (10.1016/j.rinp.2020.103722_b9000) 2020; 60 Singh (10.1016/j.rinp.2020.103722_b0040) 2018; 9 Li (10.1016/j.rinp.2020.103722_b0145) 2013; 71 Shaikh (10.1016/j.rinp.2020.103722_b0130) 2020; 2020 |
References_xml | – volume: 131 start-page: 200 year: 2016 ident: b0105 article-title: Active control technique of fractional-order chaotic complex systems publication-title: Eur Phys J Plus – volume: 59 start-page: 3221 year: 2020 end-page: 3231 ident: b0080 article-title: Haar wavelet collocation approach for the solution of fractional order COVID-19 model using Caputo derivative publication-title: Alexandria Eng J – volume: 59 start-page: 3133 year: 2020 end-page: 3147 ident: b0085 article-title: Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law publication-title: Alexandria Eng J – volume: 2020 start-page: 373 year: 2020 ident: b0130 article-title: A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control publication-title: Adv Differ Equ – reference: China virus death toll rises to 41, more than 1,300 infected worldwide. CNBC. 24 January 2020. Archived from the original on 26 January 2020. Retrieved 26 January 2020. Retrieved 30 January 2020. – reference: Is the World Ready for the Coronavirus?. Editorial. The New York Times. 29 January 2020. Archived from the original on 30 January 2020. – reference: Gomez-Aguilar JF, C-Fraga T, Abdeljawad T, Khan A, Khan H. Analysis of fractal-fractional malaria transmission model. Fractals 2020 Oct 7:2040041. – reference: Owolabi KM, Atangana A. Mathematical modelling and analysis of fractional epidemic models using derivative with exponential kernel. In: Fractional calculus in medical and health science. CRC Press; 2020, pp. 109–128. – volume: 58 year: 2017 ident: b0035 article-title: Stable numerical approach for fractional delay differential equations publication-title: Few-Body Syst – volume: Vol. 204 year: 2006 ident: b0070 publication-title: Theory and Applications of Fractional Differential Equations, North-Holland Mathematical Studies – volume: 71 start-page: 621 year: 2013 end-page: 633 ident: b0145 article-title: Fractional dynamical system and its linearization theorem publication-title: Nonlinear Dyn – reference: Matignon D. Stability results for fractional differential equations with applications to control processing. In: Computational engineering in system application, Lille, France; 1996, pp. 963–968. – volume: 43 start-page: 5941 year: 2020 end-page: 5952 ident: b0065 article-title: Legendre spectral method for the fractional Bratu problem publication-title: Math Meth Appl Sci – volume: 59 start-page: 2379 year: 2020 end-page: 2389 ident: b0075 article-title: Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative publication-title: Alexandria Eng J – volume: 103 start-page: 131 year: 2017 end-page: 138 ident: b0050 article-title: A reliable numerical algorithm for the fractional vibration equation publication-title: Chaos Solitons Fractals – volume: 61 start-page: 341 year: 2011 end-page: 356 ident: b0135 article-title: Modeling and numerical analysis of fractional-order Bloch equations publication-title: Comput Math Appl – volume: 525 start-page: 1440 year: 2019 end-page: 1448 ident: b0030 article-title: An efficient computational method for solving system of nonlinear generalized Abel integral equations arising in astrophysics publication-title: Physica A – volume: 3 start-page: 3705 year: 2017 end-page: 3722 ident: b0060 article-title: A new stable algorithm for fractional Navier–stokes equation in polar coordinate publication-title: Int J Appl Comput Math – volume: 104 start-page: 680 year: 2017 end-page: 692 ident: b0110 article-title: Chaos control of integer and fractional orders of chaotic Burke-Shaw system using time delayed feedback control publication-title: Chaos Solitons Fractals – reference: Wuhan, China Population 1950-2020, https://www.macrotrends.net/cities/20712/wuhan/population. – volume: 122 start-page: 119 year: 2019 end-page: 128 ident: b0100 article-title: Stability analysis and numerical solutions of fractional order HIV/AIDS model publication-title: Chaos Solitons Fractals – volume: 527 start-page: 121077 year: 2019 ident: b0055 article-title: A reliable numerical algorithm for fractional advection–dispersion equation arising in contaminant transport through porous media publication-title: Physica A – volume: 134 start-page: 109685 year: 2020 ident: b0095 article-title: Dynamical study of fractional order mutualism parasitism food web module publication-title: Chaos Solitons Fractals – volume: 40 start-page: 10705 year: 2016 end-page: 10718 ident: b0020 article-title: Fractional order operational matrix methods for fractional singular integro-differential equation publication-title: Appl Math Model – start-page: 225 year: 2020 end-page: 252 ident: b0120 article-title: Mathematical modeling of an autonomous nonlinear dynamical system for malaria transmission using caputo derivative, fractional order analysis: theory publication-title: Methods Applications – volume: 523 start-page: 1130 year: 2019 end-page: 1149 ident: b0025 article-title: Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients publication-title: Physica A – volume: 10 start-page: 2850 year: 2020 ident: b0115 article-title: Numerical simulation for fractional-order Bloch equation arising in nuclear magnetic resonance by using the Jacobi polynomials publication-title: Appl Sci – volume: 9 start-page: 717 year: 2018 end-page: 725 ident: b0040 article-title: Stable numerical solutions of fractional partial differential equations using Legendre scaling functions operational matrix publication-title: Ain Shams Eng J – volume: 3 start-page: 2171 year: 2017 end-page: 2187 ident: b0045 article-title: Numerical method based on Galerkin approximation for the fractional advection-dispersion equation publication-title: Int J Appl Comput Math – volume: 59 start-page: 2379 issue: 4 year: 2020 ident: 10.1016/j.rinp.2020.103722_b0075 article-title: Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative publication-title: Alexandria Eng J doi: 10.1016/j.aej.2020.02.033 – volume: 103 start-page: 131 year: 2017 ident: 10.1016/j.rinp.2020.103722_b0050 article-title: A reliable numerical algorithm for the fractional vibration equation publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2017.05.042 – ident: 10.1016/j.rinp.2020.103722_b0015 – volume: 134 start-page: 109685 year: 2020 ident: 10.1016/j.rinp.2020.103722_b0095 article-title: Dynamical study of fractional order mutualism parasitism food web module publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2020.109685 – volume: 60 start-page: 73 year: 2020 ident: 10.1016/j.rinp.2020.103722_b9000 article-title: Fractional-order derivatives and integrals: Introductory overview and recent developments publication-title: Kyungpook Math J – volume: 523 start-page: 1130 year: 2019 ident: 10.1016/j.rinp.2020.103722_b0025 article-title: Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients publication-title: Physica A doi: 10.1016/j.physa.2019.04.120 – volume: 131 start-page: 200 year: 2016 ident: 10.1016/j.rinp.2020.103722_b0105 article-title: Active control technique of fractional-order chaotic complex systems publication-title: Eur Phys J Plus doi: 10.1140/epjp/i2016-16200-x – ident: 10.1016/j.rinp.2020.103722_b0090 doi: 10.1142/S0218348X20400411 – volume: 4 start-page: 1 year: 2020 ident: 10.1016/j.rinp.2020.103722_b9010 article-title: Numerical simulation of the fractal-fractional Ebola virus publication-title: Fractal Fract doi: 10.3390/fractalfract4040049 – volume: 59 start-page: 3221 issue: 5 year: 2020 ident: 10.1016/j.rinp.2020.103722_b0080 article-title: Haar wavelet collocation approach for the solution of fractional order COVID-19 model using Caputo derivative publication-title: Alexandria Eng J doi: 10.1016/j.aej.2020.08.028 – ident: 10.1016/j.rinp.2020.103722_b0125 doi: 10.1201/9780429340567-4 – volume: 61 start-page: 341 year: 2011 ident: 10.1016/j.rinp.2020.103722_b0135 article-title: Modeling and numerical analysis of fractional-order Bloch equations publication-title: Comput Math Appl doi: 10.1016/j.camwa.2010.11.009 – volume: 10 start-page: 2850 issue: 8 year: 2020 ident: 10.1016/j.rinp.2020.103722_b0115 article-title: Numerical simulation for fractional-order Bloch equation arising in nuclear magnetic resonance by using the Jacobi polynomials publication-title: Appl Sci doi: 10.3390/app10082850 – volume: 525 start-page: 1440 year: 2019 ident: 10.1016/j.rinp.2020.103722_b0030 article-title: An efficient computational method for solving system of nonlinear generalized Abel integral equations arising in astrophysics publication-title: Physica A doi: 10.1016/j.physa.2019.03.085 – volume: 104 start-page: 680 year: 2017 ident: 10.1016/j.rinp.2020.103722_b0110 article-title: Chaos control of integer and fractional orders of chaotic Burke-Shaw system using time delayed feedback control publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2017.09.023 – volume: 58 issue: 6 year: 2017 ident: 10.1016/j.rinp.2020.103722_b0035 article-title: Stable numerical approach for fractional delay differential equations publication-title: Few-Body Syst doi: 10.1007/s00601-017-1319-x – volume: 122 start-page: 119 year: 2019 ident: 10.1016/j.rinp.2020.103722_b0100 article-title: Stability analysis and numerical solutions of fractional order HIV/AIDS model publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2019.03.022 – volume: Vol. 204 year: 2006 ident: 10.1016/j.rinp.2020.103722_b0070 – volume: 2020 start-page: 373 year: 2020 ident: 10.1016/j.rinp.2020.103722_b0130 article-title: A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control publication-title: Adv Differ Equ doi: 10.1186/s13662-020-02834-3 – volume: 59 start-page: 3133 issue: 5 year: 2020 ident: 10.1016/j.rinp.2020.103722_b0085 article-title: Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law publication-title: Alexandria Eng J doi: 10.1016/j.aej.2020.07.014 – ident: 10.1016/j.rinp.2020.103722_b0010 – volume: 9 start-page: 717 issue: 4 year: 2018 ident: 10.1016/j.rinp.2020.103722_b0040 article-title: Stable numerical solutions of fractional partial differential equations using Legendre scaling functions operational matrix publication-title: Ain Shams Eng J doi: 10.1016/j.asej.2016.03.013 – volume: 3 start-page: 3705 issue: 4 year: 2017 ident: 10.1016/j.rinp.2020.103722_b0060 article-title: A new stable algorithm for fractional Navier–stokes equation in polar coordinate publication-title: Int J Appl Comput Math doi: 10.1007/s40819-017-0323-7 – volume: 4 start-page: 1 issue: 3 year: 2020 ident: 10.1016/j.rinp.2020.103722_b9005 article-title: Diabetes and its resulting complications: Mathematical modeling via fractional calculus publication-title: Public Health Open Access – ident: 10.1016/j.rinp.2020.103722_b0140 – volume: 71 start-page: 621 issue: 4 year: 2013 ident: 10.1016/j.rinp.2020.103722_b0145 article-title: Fractional dynamical system and its linearization theorem publication-title: Nonlinear Dyn doi: 10.1007/s11071-012-0601-1 – ident: 10.1016/j.rinp.2020.103722_b0005 – volume: 3 start-page: 2171 issue: 3 year: 2017 ident: 10.1016/j.rinp.2020.103722_b0045 article-title: Numerical method based on Galerkin approximation for the fractional advection-dispersion equation publication-title: Int J Appl Comput Math doi: 10.1007/s40819-016-0233-0 – volume: 40 start-page: 10705 issue: 23–24 year: 2016 ident: 10.1016/j.rinp.2020.103722_b0020 article-title: Fractional order operational matrix methods for fractional singular integro-differential equation publication-title: Appl Math Model doi: 10.1016/j.apm.2016.08.011 – volume: 527 start-page: 121077 year: 2019 ident: 10.1016/j.rinp.2020.103722_b0055 article-title: A reliable numerical algorithm for fractional advection–dispersion equation arising in contaminant transport through porous media publication-title: Physica A doi: 10.1016/j.physa.2019.121077 – volume: 43 start-page: 5941 issue: 9 year: 2020 ident: 10.1016/j.rinp.2020.103722_b0065 article-title: Legendre spectral method for the fractional Bratu problem publication-title: Math Meth Appl Sci doi: 10.1002/mma.6334 – start-page: 225 year: 2020 ident: 10.1016/j.rinp.2020.103722_b0120 article-title: Mathematical modeling of an autonomous nonlinear dynamical system for malaria transmission using caputo derivative, fractional order analysis: theory publication-title: Methods Applications |
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SubjectTerms | Corona virus model Fractional derivatives Stability analysis |
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Title | Numerical simulation and stability analysis for the fractional-order dynamics of COVID-19 |
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