IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2014y2014i1n314729.html

Global Stability for a Three‐Species Food Chain Model in a Patchy Environment

Author

Listed:
  • Hongli Li
  • Yaolin Jiang
  • Long Zhang
  • Zhidong Teng

Abstract

We investigate a three‐species food chain model in a patchy environment where prey species, mid‐level predator species, and top predator species can disperse among n different patches (n ≥ 2). By using the method of constructing Lyapunov functions based on graph‐theoretical approach for coupled systems, we derive sufficient conditions under which the positive equilibrium of this model is unique and globally asymptotically stable if it exists.

Suggested Citation

  • Hongli Li & Yaolin Jiang & Long Zhang & Zhidong Teng, 2014. "Global Stability for a Three‐Species Food Chain Model in a Patchy Environment," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:314729
    DOI: 10.1155/2014/314729
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/314729
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/314729?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
    ---><---

    References listed on IDEAS

    as
    1. Barabási, A.L & Jeong, H & Néda, Z & Ravasz, E & Schubert, A & Vicsek, T, 2002. "Evolution of the social network of scientific collaborations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 311(3), pages 590-614.
    2. Dai, Yang & Cai, Yunze & Xu, Xiaoming, 2008. "Synchronization criteria for complex dynamical networks with neutral-type coupling delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(18), pages 4673-4682.
    Full references (including those not matched with items on IDEAS)

    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. Lemarchand, Guillermo A., 2012. "The long-term dynamics of co-authorship scientific networks: Iberoamerican countries (1973–2010)," Research Policy, Elsevier, vol. 41(2), pages 291-305.
    2. Ann Bostrom & Ragnar E. Löfstedt, 2003. "Communicating Risk: Wireless and Hardwired," Risk Analysis, John Wiley & Sons, vol. 23(2), pages 241-248, April.
    3. Lilian Cervo Cabrera & Carlos Eduardo Caldarelli & Marcia Regina Gabardo Camara, 2020. "Mapping collaboration in international coffee certification research," Scientometrics, Springer;Akadémiai Kiadó, vol. 124(3), pages 2597-2618, September.
    4. de Oliveira, Thaiane Moreira & de Albuquerque, Sofia & Toth, Janderson Pereira & Bello, Debora Zava, 2018. "International cooperation networks of the BRICS bloc," SocArXiv b6x43, Center for Open Science.
    5. Peng Liu & Haoxiang Xia, 2015. "Structure and evolution of co-authorship network in an interdisciplinary research field," Scientometrics, Springer;Akadémiai Kiadó, vol. 103(1), pages 101-134, April.
    6. Elias Carroni & Paolo Pin & Simone Righi, 2020. "Bring a Friend! Privately or Publicly?," Management Science, INFORMS, vol. 66(5), pages 2269-2290, May.
    7. Jin, Jiashun & Ke, Zheng Tracy & Luo, Shengming, 2024. "Mixed membership estimation for social networks," Journal of Econometrics, Elsevier, vol. 239(2).
    8. Kim, Jinseok & Diesner, Jana, 2015. "The effect of data pre-processing on understanding the evolution of collaboration networks," Journal of Informetrics, Elsevier, vol. 9(1), pages 226-236.
    9. Yingqun Li & Jiangfeng Liu & Ningyuan Song & Lei Pei, 2025. "Innovation similarity tendency in scientific collaboration: a group-level analysis using the IST-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 130(10), pages 5761-5791, October.
    10. Fu, Chaoqi & Shi, Zhuoying & Zhang, Pengtao, 2025. "Analysis of the coupled cascade failure model in complex networks with functional dependence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 669(C).
    11. Andreas Spitz & Emőke-Ágnes Horvát, 2014. "Measuring Long-Term Impact Based on Network Centrality: Unraveling Cinematic Citations," PLOS ONE, Public Library of Science, vol. 9(10), pages 1-12, October.
    12. Huan Chen & Lixin Tian & Minggang Wang & Zaili Zhen, 2017. "Analysis of the Dynamic Evolutionary Behavior of American Heating Oil Spot and Futures Price Fluctuation Networks," Sustainability, MDPI, vol. 9(4), pages 1-29, April.
    13. Georg Groh & Christoph Fuchs, 2011. "Multi-modal social networks for modeling scientific fields," Scientometrics, Springer;Akadémiai Kiadó, vol. 89(2), pages 569-590, November.
    14. Sameer Kumar & Kuru Ratnavelu, 2016. "Perceptions of Scholars in the Field of Economics on Co-Authorship Associations: Evidence from an International Survey," PLOS ONE, Public Library of Science, vol. 11(6), pages 1-18, June.
    15. Zhengzheng Pan, 2012. "Opinions and Networks: How Do They Effect Each Other," Computational Economics, Springer;Society for Computational Economics, vol. 39(2), pages 157-171, February.
    16. Chakraborty, Tanmoy & Tammana, Vihar & Ganguly, Niloy & Mukherjee, Animesh, 2015. "Understanding and modeling diverse scientific careers of researchers," Journal of Informetrics, Elsevier, vol. 9(1), pages 69-78.
    17. Mark Kibanov & Raphael H. Heiberger & Simone Rödder & Martin Atzmueller & Gerd Stumme, 2019. "Social studies of scholarly life with sensor-based ethnographic observations," Scientometrics, Springer;Akadémiai Kiadó, vol. 119(3), pages 1387-1428, June.
    18. Sameer Kumar & Jariah Mohd. Jan, 2013. "Mapping research collaborations in the business and management field in Malaysia, 1980–2010," Scientometrics, Springer;Akadémiai Kiadó, vol. 97(3), pages 491-517, December.
    19. Greg Morrison & L Mahadevan, 2012. "Discovering Communities through Friendship," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-9, July.
    20. Chris Fields, 2015. "Co-authorship proximity of A. M. Turing Award and John von Neumann Medal winners to the disciplinary boundaries of computer science," Scientometrics, Springer;Akadémiai Kiadó, vol. 104(3), pages 809-825, September.

    More about this item

    Statistics

    Access and download statistics

    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:wly:jnljam:v:2014:y:2014:i:1:n:314729. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    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.