IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v108y2018icp148-153.html
   My bibliography  Save this article

Traveling wave fronts of a single species model with cannibalism and nonlocal effect

Author

Listed:
  • Zhang, Hong-Tao
  • Li, Li

Abstract

In this paper, we present a single species model with cannibalism and nonlocal effect. The existence of traveling wave fronts connecting the equilibrium 0 to the equilibrium Krr+Kh is proved when the wave speed c≥2r.

Suggested Citation

  • Zhang, Hong-Tao & Li, Li, 2018. "Traveling wave fronts of a single species model with cannibalism and nonlocal effect," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 148-153.
    • Handle: RePEc:eee:chsofr:v:108:y:2018:i:c:p:148-153
    DOI: 10.1016/j.chaos.2018.01.038
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918300456
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.01.038?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. Li, Li, 2015. "Bifurcation and chaos in a discrete physiological control system," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 397-404.
    2. Hu, Jiang-Hong & Xue, Ya-Kui & Sun, Gui-Quan & Jin, Zhen & Zhang, Juan, 2016. "Global dynamics of a predator–prey system modeling by metaphysiological approach," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 369-384.
    3. Felicia Keesing & Lisa K. Belden & Peter Daszak & Andrew Dobson & C. Drew Harvell & Robert D. Holt & Peter Hudson & Anna Jolles & Kate E. Jones & Charles E. Mitchell & Samuel S. Myers & Tiffany Bogich, 2010. "Impacts of biodiversity on the emergence and transmission of infectious diseases," Nature, Nature, vol. 468(7324), pages 647-652, December.
    4. Li, Li, 2015. "Patch invasion in a spatial epidemic model," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 342-349.
    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. Al-Darabsah, Isam, 2024. "On the stability of a single-species model with a generic delay distribution kernel," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).

    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. Wu, Zeyan & Li, Jianjuan & Liu, Shuying & Zhou, Liuting & Luo, Yang, 2019. "A spatial predator–prey system with non-renewable resources," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 381-391.
    2. Li, Li, 2017. "Transmission dynamics of Ebola virus disease with human mobility in Sierra Leone," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 575-579.
    3. Wang, Caiyun & Qi, Suying, 2018. "Spatial dynamics of a predator-prey system with cross diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 55-60.
    4. Wen, Haijun & Hou, Shiwang & Liu, Zhaohua & Liu, Yongjiang, 2017. "An optimization algorithm for integrated remanufacturing production planning and scheduling system," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 69-76.
    5. Qiao, Jian-Qin & Li, Li, 2017. "Analysis of competitive infectious diseases with multiple strains," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 215-221.
    6. Liu, Chanjuan & Zhu, Enqiang, 2017. "Computational ability in games: Individual difference and dynamics," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 313-320.
    7. Wu, Zeyan & Li, Jianjuan & Li, Jing & Liu, Shuying & Zhou, Liuting & Luo, Yang, 2017. "Pattern formations of an epidemic model with Allee effect and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 599-606.
    8. Yonghong Xu & Jianguo Ren, 2016. "Propagation Effect of a Virus Outbreak on a Network with Limited Anti-Virus Ability," PLOS ONE, Public Library of Science, vol. 11(10), pages 1-15, October.
    9. Paul L. G. Vlek & Asia Khamzina & Hossein Azadi & Anik Bhaduri & Luna Bharati & Ademola Braimoh & Christopher Martius & Terry Sunderland & Fatemeh Taheri, 2017. "Trade-Offs in Multi-Purpose Land Use under Land Degradation," Sustainability, MDPI, vol. 9(12), pages 1-19, November.
    10. Chen, Dandan & Zheng, Muhua & Zhao, Ming & Zhang, Yu, 2018. "A dynamic vaccination strategy to suppress the recurrent epidemic outbreaks," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 108-114.
    11. Mandal, Gourav & Guin, Lakshmi Narayan & Chakravarty, Santabrata & Rojas-Palma, Alejandro & González-Olivares, Eduardo, 2024. "Allee-induced bubbling phenomena in an interacting species model," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    12. Lin Zhang & Jason Rohr & Ruina Cui & Yusi Xin & Lixia Han & Xiaona Yang & Shimin Gu & Yuanbao Du & Jing Liang & Xuyu Wang & Zhengjun Wu & Qin Hao & Xuan Liu, 2022. "Biological invasions facilitate zoonotic disease emergences," Nature Communications, Nature, vol. 13(1), pages 1-11, December.
    13. Michal Chvostáč & Eva Špitalská & Radovan Václav & Tatiana Vaculová & Lenka Minichová & Markéta Derdáková, 2018. "Seasonal Patterns in the Prevalence and Diversity of Tick-Borne Borrelia burgdorferi Sensu Lato, Anaplasma phagocytophilum and Rickettsia spp. in an Urban Temperate Forest in South Western Slovakia," IJERPH, MDPI, vol. 15(5), pages 1-19, May.
    14. Medeiros-Sousa, Antônio Ralph & Lange, Martin & Mucci, Luis Filipe & Marrelli, Mauro Toledo & Grimm, Volker, 2024. "Modelling the transmission and spread of yellow fever in forest landscapes with different spatial configurations," Ecological Modelling, Elsevier, vol. 489(C).
    15. Wang, Jianrong & Wang, Jianping & Han, Dun, 2017. "Nonlinear dynamic evolution and control in CCFN with mixed attachment mechanisms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 120-132.
    16. Lahmiri, Salim, 2018. "Minute-ahead stock price forecasting based on singular spectrum analysis and support vector regression," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 444-451.
    17. Mathieu Pruvot & Manigandan Lejeune & Susan Kutz & Wendy Hutchins & Marco Musiani & Alessandro Massolo & Karin Orsel, 2016. "Better Alone or in Ill Company? The Effect of Migration and Inter-Species Comingling on Fascioloides magna Infection in Elk," PLOS ONE, Public Library of Science, vol. 11(7), pages 1-16, July.
    18. Woldehanna, Sara & Zimicki, Susan, 2015. "An expanded One Health model: Integrating social science and One Health to inform study of the human-animal interface," Social Science & Medicine, Elsevier, vol. 129(C), pages 87-95.
    19. Leno S Rocha & Frederico S A Rocha & Thársis T P Souza, 2017. "Is the public sector of your country a diffusion borrower? Empirical evidence from Brazil," PLOS ONE, Public Library of Science, vol. 12(10), pages 1-11, October.
    20. Augeraud-Véron, Emmanuelle & Fabbri, Giorgio & Schubert, Katheline, 2021. "Prevention and mitigation of epidemics: Biodiversity conservation and confinement policies," Journal of Mathematical Economics, Elsevier, vol. 93(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:108:y:2018:i:c:p:148-153. 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.