IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v150y2021ics0960077921004896.html
   My bibliography  Save this article

Modelling and simulations of the SEIR and Blood Coagulation systems using Atangana-Baleanu-Caputo derivative

Author

Listed:
  • Partohaghighi, Mohammad
  • Akgül, Ali

Abstract

In this work, we investigate the SEIR and Blood Coagulation systems using a specific type of fractional derivative. SEIR epidemic model which outlines the close communication of contagious disease is estimated to dominate the measles epidemic for infected groups. Moreover, Blood coagulation is a protective tool that restricts the loss of blood upon the rupture of endothelial tissues. This process is a complicated one that is managed by various mechanical and biochemical mechanisms. Indeed, the fractional Atangana-Baleau-Caputo derivative operator is exercised to achieve the new models of fractional equations of the SEIR epidemic and Blood Coagulation. Moreover, the existence and uniqueness of the considered systems are checked. Also, simulations are provided under selecting different amounts of fractional orders using Atangana-Toufik method. Additionally, chaotic behaviors of the proposed models by adopting different values of orders are presented, clearly to show the robustness and reliability of the recommended scheme. During graphs of simulations which are obtained under applying various values of orders, show that the used algorithm is highly effective to solve such fractional systems employing various initial conditions(ICs)compared to the other methods.

Suggested Citation

  • Partohaghighi, Mohammad & Akgül, Ali, 2021. "Modelling and simulations of the SEIR and Blood Coagulation systems using Atangana-Baleanu-Caputo derivative," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004896
    DOI: 10.1016/j.chaos.2021.111135
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921004896
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.111135?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jarad, Fahd & Abdeljawad, Thabet & Hammouch, Zakia, 2018. "On a class of ordinary differential equations in the frame of Atangana–Baleanu fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 16-20.
    2. Saad, Khaled M. & Gómez-Aguilar, J.F. & Almadiy, Abdulrhman A., 2020. "A fractional numerical study on a chronic hepatitis C virus infection model with immune response," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    3. Coronel-Escamilla, Antonio & Gomez-Aguilar, Jose Francisco & Stamova, Ivanka & Santamaria, Fidel, 2020. "Fractional order controllers increase the robustness of closed-loop deep brain stimulation systems," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    4. Shaher Momani & Asad Freihat & Mohammed AL-Smadi, 2014. "Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
    5. Rahman, Mati ur & Arfan, Muhammad & Shah, Kamal & Gómez-Aguilar, J.F., 2020. "Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    6. Khan, Aziz & Abdeljawad, Thabet & Gómez-Aguilar, J.F. & Khan, Hasib, 2020. "Dynamical study of fractional order mutualism parasitism food web module," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Xinghua Hu & Yimei Xu & Jianpu Guo & Tingting Zhang & Yuhang Bi & Wei Liu & Xiaochuan Zhou, 2022. "A Complete Information Interaction-Based Bus Passenger Flow Control Model for Epidemic Spread Prevention," Sustainability, MDPI, vol. 14(13), pages 1-11, June.
    2. Akgül, Ali & Partohaghighi, Mohammad, 2022. "New fractional modelling and control analysis of the circumscribed self-excited spherical strange attractor," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    3. Shirazian, Mohammad, 2023. "A new acceleration of variational iteration method for initial value problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 246-259.
    4. Mohammad Partohaghighi & Ali Akgül & Rubayyi T. Alqahtani, 2022. "New Type Modelling of the Circumscribed Self-Excited Spherical Attractor," Mathematics, MDPI, vol. 10(5), pages 1-14, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Begum, Razia & Tunç, Osman & Khan, Hasib & Gulzar, Haseena & Khan, Aziz, 2021. "A fractional order Zika virus model with Mittag–Leffler kernel," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    2. Liu, Xuan & Ullah, Saif & Alshehri, Ahmed & Altanji, Mohamed, 2021. "Mathematical assessment of the dynamics of novel coronavirus infection with treatment: A fractional study," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    3. Kritika, & Agarwal, Ritu & Purohit, Sunil Dutt, 2020. "Mathematical model for anomalous subdiffusion using comformable operator," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    4. Ganji, R.M. & Jafari, H. & Baleanu, D., 2020. "A new approach for solving multi variable orders differential equations with Mittag–Leffler kernel," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    5. Ilhan, Esin & Veeresha, P. & Baskonus, Haci Mehmet, 2021. "Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    6. Karaagac, Berat, 2019. "A study on fractional Klein Gordon equation with non-local and non-singular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 218-229.
    7. Ravichandran, C. & Sowbakiya, V. & Nisar, Kottakkaran Sooppy, 2022. "Study on existence and data dependence results for fractional order differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    8. Fouladi, Somayeh & Dahaghin, Mohammad Shafi, 2022. "Numerical investigation of the variable-order fractional Sobolev equation with non-singular Mittag–Leffler kernel by finite difference and local discontinuous Galerkin methods," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    9. Abdalla, Bahaaeldin & Abdeljawad, Thabet, 2019. "On the oscillation of Caputo fractional differential equations with Mittag–Leffler nonsingular kernel," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 173-177.
    10. BİLDİK, Necdet & DENİZ, Sinan & SAAD, Khaled M., 2020. "A comparative study on solving fractional cubic isothermal auto-catalytic chemical system via new efficient technique," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    11. Asjad, Muhammad Imran & Sunthrayuth, Pongsakorn & Ikram, Muhammad Danish & Muhammad, Taseer & Alshomrani, Ali Saleh, 2022. "Analysis of non-singular fractional bioconvection and thermal memory with generalized Mittag-Leffler kernel," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    12. Kumar, Ashish & Pandey, Dwijendra N., 2020. "Existence of mild solution of Atangana–Baleanu fractional differential equations with non-instantaneous impulses and with non-local conditions," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    13. Owolabi, Kolade M. & Hammouch, Zakia, 2019. "Spatiotemporal patterns in the Belousov–Zhabotinskii reaction systems with Atangana–Baleanu fractional order derivative," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1072-1090.
    14. Mohammad Alaroud & Abedel-Karrem Alomari & Nedal Tahat & Shrideh Al-Omari & Anuar Ishak, 2023. "A Novel Solution Approach for Time-Fractional Hyperbolic Telegraph Differential Equation with Caputo Time Differentiation," Mathematics, MDPI, vol. 11(9), pages 1-19, May.
    15. Erum Saba & Imtiaz Hussain Kalwar & Mukhtiar Ali Unar & Abdul Latif Memon & Nasrullah Pirzada, 2021. "Fuzzy Logic-Based Identification of Railway Wheelset Conicity Using Multiple Model Approach," Sustainability, MDPI, vol. 13(18), pages 1-21, September.
    16. Khan, Hasib & Khan, Aziz & Jarad, Fahd & Shah, Anwar, 2020. "Existence and data dependence theorems for solutions of an ABC-fractional order impulsive system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    17. Dineshkumar, C. & Udhayakumar, R. & Vijayakumar, V. & Nisar, Kottakkaran Sooppy & Shukla, Anurag, 2022. "A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    18. Riaz, M.B. & Iftikhar, N., 2020. "A comparative study of heat transfer analysis of MHD Maxwell fluid in view of local and nonlocal differential operators," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    19. Singh, Harendra & Baleanu, Dumitru & Singh, Jagdev & Dutta, Hemen, 2021. "Computational study of fractional order smoking model," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    20. Sekerci, Yadigar, 2020. "Climate change effects on fractional order prey-predator model," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004896. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.