IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v502y2018icp447-458.html
   My bibliography  Save this article

Interaction and coexistence with self-regulating species

Author

Listed:
  • Zhu, Haoqi
  • Wang, Maoxiang
  • Hu, Fenglan

Abstract

Based on Lotka–Volterra (LV) system with spatial diffusion we study a self-regulating species, whose interactions can change with the other’s population size. These interactions can be divided into four types described by the interaction portrait. The activity of self-regulation in population also depends on the opposite species, when the opposite species is strong competitive, the self-regulating species cannot adjust its population actively until the roles reverse. Furthermore the way of coexistence with self-regulating system, including competition-coexistence and parasitism-coexistence is discussed; it suggests that proper competition is better to acquire larger total population than a single sacrifice as a host. Moreover both self-regulation and spatial diffusion may be opportunities to switch the final surviving species, but self-regulation can result into stable situation and promote the diversity, in accordance with Darwin’s theory of evolution.

Suggested Citation

  • Zhu, Haoqi & Wang, Maoxiang & Hu, Fenglan, 2018. "Interaction and coexistence with self-regulating species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 447-458.
    • Handle: RePEc:eee:phsmap:v:502:y:2018:i:c:p:447-458
    DOI: 10.1016/j.physa.2018.02.082
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118301687
    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.2018.02.082?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. Alberto Pascual-García & Ugo Bastolla, 2017. "Mutualism supports biodiversity when the direct competition is weak," Nature Communications, Nature, vol. 8(1), pages 1-13, April.
    2. Stefano Allesina & Si Tang, 2012. "Stability criteria for complex ecosystems," Nature, Nature, vol. 483(7388), pages 205-208, March.
    3. Wang, Mao-Xiang & Ma, Yu-Qiang, 2014. "Population evolution in mutualistic Lotka–Volterra system with spatial diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 228-235.
    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. Wang, Xiangrong & Peron, Thomas & Dubbeldam, Johan L.A. & Kéfi, Sonia & Moreno, Yamir, 2023. "Interspecific competition shapes the structural stability of mutualistic networks," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    2. Clenet, Maxime & El Ferchichi, Hafedh & Najim, Jamal, 2022. "Equilibrium in a large Lotka–Volterra system with pairwise correlated interactions," Stochastic Processes and their Applications, Elsevier, vol. 153(C), pages 423-444.
    3. Li, Fei & Kang, Hao & Xu, Jingfeng, 2022. "Financial stability and network complexity: A random matrix approach," International Review of Economics & Finance, Elsevier, vol. 80(C), pages 177-185.
    4. Bastazini, Vinicius Augusto Galvão & Debastiani, Vanderlei & Cappelatti, Laura & Guimarães, Paulo & Pillar, Valério D., 2022. "The role of evolutionary modes for trait-based cascades in mutualistic networks," Ecological Modelling, Elsevier, vol. 470(C).
    5. Aliyu, Murtala Bello & Mohd, Mohd Hafiz, 2021. "The interplay between mutualism, competition and dispersal promotes species coexistence in a multiple interactions type system," Ecological Modelling, Elsevier, vol. 452(C).
    6. Chen, Weidong & Xiong, Shi & Chen, Quanyu, 2022. "Characterizing the dynamic evolutionary behavior of multivariate price movement fluctuation in the carbon-fuel energy markets system from complex network perspective," Energy, Elsevier, vol. 239(PA).
    7. Sabine Dritz & Rebecca A. Nelson & Fernanda S. Valdovinos, 2023. "The role of intra-guild indirect interactions in assembling plant-pollinator networks," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    8. Torres-Alruiz, Maria Daniela & Rodríguez, Diego J., 2013. "A topo-dynamical perspective to evaluate indirect interactions in trophic webs: New indexes," Ecological Modelling, Elsevier, vol. 250(C), pages 363-369.
    9. Yan, Chuan & Zhang, Zhibin, 2018. "Dome-shaped transition between positive and negative interactions maintains higher persistence and biomass in more complex ecological networks," Ecological Modelling, Elsevier, vol. 370(C), pages 14-21.
    10. Fujiwara, Masami, 2016. "Incorporating demographic diversity into food web models: Effects on community structure and dynamics," Ecological Modelling, Elsevier, vol. 322(C), pages 10-18.
    11. Becky Tang & James S. Clark & Peter P. Marra & Alan E. Gelfand, 2023. "Modeling Community Dynamics Through Environmental Effects, Species Interactions and Movement," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 28(1), pages 178-195, March.
    12. Chen, Aimin & Wang, Pei & Zhou, Tianshou & Tian, Tianhai, 2022. "Balance of positive and negative regulation for trade-off between efficiency and resilience of high-dimensional networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    13. Shiben Zhu & Juken Hong & Teng Wang, 2024. "Horizontal gene transfer is predicted to overcome the diversity limit of competing microbial species," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    14. Yan, Chuan & Zhang, Zhibin, 2016. "Interspecific interaction strength influences population density more than carrying capacity in more complex ecological networks," Ecological Modelling, Elsevier, vol. 332(C), pages 1-7.
    15. Cropp, Roger & Norbury, John, 2018. "Linking obligate mutualism models in an extended consumer-resource framework," Ecological Modelling, Elsevier, vol. 374(C), pages 1-13.
    16. Lischke, Heike & Löffler, Thomas J., 2017. "Finding all multiple stable fixpoints of n-species Lotka–Volterra competition models," Theoretical Population Biology, Elsevier, vol. 115(C), pages 24-34.
    17. Pierre-Alexandre Balland & David L. Rigby, 2015. "The geography and evolution of complex knowledge," Papers in Evolutionary Economic Geography (PEEG) 1502, Utrecht University, Department of Human Geography and Spatial Planning, Group Economic Geography, revised Jan 2015.
    18. Park, Junpyo & Jang, Bongsoo, 2021. "Structural stability of coexistence in evolutionary dynamics of cyclic competition," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    19. Qinghua Zhao & Paul J. Brink & Chi Xu & Shaopeng Wang & Adam T. Clark & Canan Karakoç & George Sugihara & Claire E. Widdicombe & Angus Atkinson & Shin-ichiro S. Matsuzaki & Ryuichiro Shinohara & Shuiq, 2023. "Relationships of temperature and biodiversity with stability of natural aquatic food webs," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    20. Athanasios Lapatinas & Marina-Selini Katsaiti, 2023. "EU MECI: A Network-Structured Indicator for a Union of Equality," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 166(2), pages 465-483, April.

    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:502:y:2018:i:c:p:447-458. 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: 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.