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Previous articleNext article No AccessNotes and CommentsCounterintuitive Oscillations in Systems of Competition and MutualismMichael E. Gilpin, Ted J. Case, and Edward A. BenderMichael E. Gilpin Search for more articles by this author , Ted J. Case Search for more articles by this author , and Edward A. Bender Search for more articles by this author PDFPDF PLUS Add to favoritesDownload CitationTrack CitationsPermissionsReprints Share onFacebookTwitterLinkedInRedditEmail SectionsMoreDetailsFiguresReferencesCited by The American Naturalist Volume 119, Number 4Apr., 1982 Published for The American Society of Naturalists Article DOIhttps://doi.org/10.1086/283935 Views: 5Total views on this site Citations: 13Citations are reported from Crossref Copyright 1982 The University of ChicagoPDF download Crossref reports the following articles citing this article:Kayla R. S. Hale, Fernanda S. Valdovinos Ecological theory of mutualism: Robust patterns of stability and thresholds in two‐species population models, Ecology and Evolution 11, no.2424 (Dec 2021): 17651–17671.https://doi.org/10.1002/ece3.8453V. R. Mikryakov, V. G. Tereshchenko, D. V. Mikryakov Using the Integral Index to Assess Destabilization Processes in the Immune System of Fish, Inland Water Biology 14, no.33 (Jun 2021): 340–348.https://doi.org/10.1134/S199508292103010XKelsey M. Yule, Christopher A. Johnson, Judith L. Bronstein, Régis Ferrière Interactions among interactions: The dynamical consequences of antagonism between mutualists, Journal of Theoretical Biology 501 (Sep 2020): 110334.https://doi.org/10.1016/j.jtbi.2020.110334Yu. S. Reshetnikov, V. G. Tereshchenko Analysis of the Equilibrium State of Lake Fish Community Based on Its Dynamic Phase Portrait, Biology Bulletin Reviews 9, no.44 (Aug 2019): 333–342.https://doi.org/10.1134/S2079086419040066Ю.С. Решетников, В.Г. Терещенко АНАЛИЗ РАВНОВЕСНОГО СОСТОЯНИЯ РЫБНОГО НАСЕЛЕНИЯ ОЗЕР НА ОСНОВЕ ЕГО ДИНАМИЧЕСКОГО ФАЗОВОГО ПОРТРЕТА, "Успехи современной биологии", Успехи современной биологии , no.66 (Jan 2018): 538–548.https://doi.org/10.7868/S0042132418060029Eugene Anatoly Yurtsev, Arolyn Conwill, Jeff Gore Oscillatory dynamics in a bacterial cross-protection mutualism, Proceedings of the National Academy of Sciences 113, no.2222 (May 2016): 6236–6241.https://doi.org/10.1073/pnas.1523317113Christopher A. Johnson, Priyanga Amarasekare Competition for benefits can promote the persistence of mutualistic interactions, Journal of Theoretical Biology 328 (Jul 2013): 54–64.https://doi.org/10.1016/j.jtbi.2013.03.016Eurídice Leyequién, Willem F. de Boer, Antoine Cleef Influence of body size on coexistence of bird species, Ecological Research 22, no.55 (Dec 2006): 735–741.https://doi.org/10.1007/s11284-006-0311-6K L Seip Defining and measuring species interactions in aquatic ecosystems, Canadian Journal of Fisheries and Aquatic Sciences 54, no.77 (Jul 1997): 1513–1519.https://doi.org/10.1139/f97-058Peter A. Abrams, Lester Shen Population dynamics of systems with consumers that maintain a constant ratio of intake rates of two resources, Theoretical Population Biology 35, no.11 (Feb 1989): 51–89.https://doi.org/10.1016/0040-5809(89)90010-5P.H. Crowley, R.M. Nisbet, W.S.C. Gurney, J.H. Lawton Population Regulation in Animals with Complex Life-histories: Formulation and Analysis of a Damselfly Model, (Jan 1987): 1–59.https://doi.org/10.1016/S0065-2504(08)60243-3Bindhyachal Rai, H.I. Freedman, John F. Addicott Analysis of three species models of mutualism in predator-prey and competitive systems, Mathematical Biosciences 65, no.11 (Jul 1983): 13–50.https://doi.org/10.1016/0025-5564(83)90069-XRüdiger Knapp Vegetation Science (Sociological Geobotany), (Jan 1983): 336–350.https://doi.org/10.1007/978-3-642-69445-5_20

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