IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v533y2019ics0378437119311598.html
   My bibliography  Save this article

Turing patterns of an SI epidemic model with cross-diffusion on complex networks

Author

Listed:
  • Duan, Moran
  • Chang, Lili
  • Jin, Zhen

Abstract

Epidemic models governed by reaction–diffusion equations with cross-diffusion can exhibit diversified pattern formations and can characterize important features of some diseases. Considering that populations are usually organized as networks instead of being continuously distributed in space, it is essential to study reaction–diffusion epidemic model with cross-diffusion on networks. Here we investigate Turing instability induced by cross-diffusion for a network organized SI epidemic model and explore Turing patterns on several different networks. Turing instability condition is obtained via linear analysis method and the condition is applied to study pattern formations for the model in question. With the help of numerical simulations, we investigate the influences of network topology and initial infection distribution on pattern formations and disease spreading from the aspects of arrival time of the first peak and steady density of the infected.

Suggested Citation

  • Duan, Moran & Chang, Lili & Jin, Zhen, 2019. "Turing patterns of an SI epidemic model with cross-diffusion on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 533(C).
    • Handle: RePEc:eee:phsmap:v:533:y:2019:i:c:s0378437119311598
    DOI: 10.1016/j.physa.2019.122023
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119311598
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2019.122023?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.

    Citations

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


    Cited by:

    1. Mohan, Nishith & Kumari, Nitu, 2021. "Positive steady states of a SI epidemic model with cross diffusion," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    2. Inferrera, G. & Munafò, C.F. & Oliveri, F. & Rogolino, P., 2024. "Reaction-diffusion models of crimo–taxis in a street," Applied Mathematics and Computation, Elsevier, vol. 467(C).
    3. Hu, Junlang & Zhu, Linhe, 2021. "Turing pattern analysis of a reaction-diffusion rumor propagation system with time delay in both network and non-network environments," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    4. d’Onofrio, Alberto & Banerjee, Malay & Manfredi, Piero, 2020. "Spatial behavioural responses to the spread of an infectious disease can suppress Turing and Turing–Hopf patterning of the disease," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(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:phsmap:v:533:y:2019:i:c:s0378437119311598. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.