Competitive Lotka–Volterra equations (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Competitive Lotka–Volterra equations" in English language version.

refsWebsite

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13doi.org

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13worldcat.org

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6semanticscholar.org

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5harvard.edu

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3nih.gov

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2escholarship.org

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1archives-ouvertes.fr

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archives-ouvertes.fr

hal.archives-ouvertes.fr

Roques, Lionel; Chekroun, Mickaël D. (2011). "Probing chaos and biodiversity in a simple competition model" (PDF). Ecological Complexity. 8 (1). Elsevier BV: 98–104. doi:10.1016/j.ecocom.2010.08.004. ISSN 1476-945X.

doi.org

Bomze, Immanuel M. (1983). "Lotka-Volterra equation and replicator dynamics: A two-dimensional classification". Biological Cybernetics. 48 (3). Springer Science and Business Media LLC: 201–211. doi:10.1007/bf00318088. ISSN 0340-1200. S2CID 206774680.
Bomze, Immanuel M. (1995). "Lotka-Volterra equation and replicator dynamics: new issues in classification". Biological Cybernetics. 72 (5). Springer Science and Business Media LLC: 447–453. doi:10.1007/bf00201420. ISSN 0340-1200. S2CID 18754189.
Smale, S. (1976). "On the differential equations of species in competition". Journal of Mathematical Biology. 3 (1). Springer Science and Business Media LLC: 5–7. doi:10.1007/bf00307854. ISSN 0303-6812. PMID 1022822. S2CID 33201460.
Hirsch, Morris W. (1985). "Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere". SIAM Journal on Mathematical Analysis. 16 (3). Society for Industrial & Applied Mathematics (SIAM): 423–439. doi:10.1137/0516030. ISSN 0036-1410.
Hirsch, M W (1988-02-01). "Systems of differential equations which are competitive or cooperative: III. Competing species". Nonlinearity. 1 (1). IOP Publishing: 51–71. Bibcode:1988Nonli...1...51H. doi:10.1088/0951-7715/1/1/003. ISSN 0951-7715. S2CID 250848783.
Hirsch, Morris W. (1990). "Systems of Differential Equations That are Competitive or Cooperative. IV: Structural Stability in Three-Dimensional Systems". SIAM Journal on Mathematical Analysis. 21 (5). Society for Industrial & Applied Mathematics (SIAM): 1225–1234. doi:10.1137/0521067. ISSN 0036-1410.
Kondoh, M. (2003-02-28). "Foraging Adaptation and the Relationship Between Food-Web Complexity and Stability". Science. 299 (5611). American Association for the Advancement of Science (AAAS): 1388–1391. doi:10.1126/science.1079154. ISSN 0036-8075. PMID 12610303. S2CID 129162096.
Ackland, G. J.; Gallagher, I. D. (2004-10-08). "Stabilization of Large Generalized Lotka-Volterra Foodwebs By Evolutionary Feedback". Physical Review Letters. 93 (15). American Physical Society (APS): 158701. Bibcode:2004PhRvL..93o8701A. doi:10.1103/physrevlett.93.158701. ISSN 0031-9007. PMID 15524949.
Vano, J A; Wildenberg, J C; Anderson, M B; Noel, J K; Sprott, J C (2006-09-15). "Chaos in low-dimensional Lotka–Volterra models of competition". Nonlinearity. 19 (10). IOP Publishing: 2391–2404. Bibcode:2006Nonli..19.2391V. doi:10.1088/0951-7715/19/10/006. ISSN 0951-7715. S2CID 9417299.
Roques, Lionel; Chekroun, Mickaël D. (2011). "Probing chaos and biodiversity in a simple competition model" (PDF). Ecological Complexity. 8 (1). Elsevier BV: 98–104. doi:10.1016/j.ecocom.2010.08.004. ISSN 1476-945X.
Nese, Jon M. (1989). "Quantifying local predictability in phase space". Physica D: Nonlinear Phenomena. 35 (1–2). Elsevier BV: 237–250. Bibcode:1989PhyD...35..237N. doi:10.1016/0167-2789(89)90105-x. ISSN 0167-2789.
Sprott, J.C.; Wildenberg, J.C.; Azizi, Yousef (2005). "A simple spatiotemporal chaotic Lotka–Volterra model". Chaos, Solitons & Fractals. 26 (4). Elsevier BV: 1035–1043. Bibcode:2005CSF....26.1035S. doi:10.1016/j.chaos.2005.02.015. ISSN 0960-0779.
Wildenberg, J.C.; Vano, J.A.; Sprott, J.C. (2006). "Complex spatiotemporal dynamics in Lotka–Volterra ring systems". Ecological Complexity. 3 (2). Elsevier BV: 140–147. doi:10.1016/j.ecocom.2005.12.001. ISSN 1476-945X.

escholarship.org

Hirsch, Morris W. (1985). "Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere". SIAM Journal on Mathematical Analysis. 16 (3). Society for Industrial & Applied Mathematics (SIAM): 423–439. doi:10.1137/0516030. ISSN 0036-1410.
Hirsch, M W (1988-02-01). "Systems of differential equations which are competitive or cooperative: III. Competing species". Nonlinearity. 1 (1). IOP Publishing: 51–71. Bibcode:1988Nonli...1...51H. doi:10.1088/0951-7715/1/1/003. ISSN 0951-7715. S2CID 250848783.

harvard.edu

ui.adsabs.harvard.edu

Hirsch, M W (1988-02-01). "Systems of differential equations which are competitive or cooperative: III. Competing species". Nonlinearity. 1 (1). IOP Publishing: 51–71. Bibcode:1988Nonli...1...51H. doi:10.1088/0951-7715/1/1/003. ISSN 0951-7715. S2CID 250848783.
Ackland, G. J.; Gallagher, I. D. (2004-10-08). "Stabilization of Large Generalized Lotka-Volterra Foodwebs By Evolutionary Feedback". Physical Review Letters. 93 (15). American Physical Society (APS): 158701. Bibcode:2004PhRvL..93o8701A. doi:10.1103/physrevlett.93.158701. ISSN 0031-9007. PMID 15524949.
Vano, J A; Wildenberg, J C; Anderson, M B; Noel, J K; Sprott, J C (2006-09-15). "Chaos in low-dimensional Lotka–Volterra models of competition". Nonlinearity. 19 (10). IOP Publishing: 2391–2404. Bibcode:2006Nonli..19.2391V. doi:10.1088/0951-7715/19/10/006. ISSN 0951-7715. S2CID 9417299.
Nese, Jon M. (1989). "Quantifying local predictability in phase space". Physica D: Nonlinear Phenomena. 35 (1–2). Elsevier BV: 237–250. Bibcode:1989PhyD...35..237N. doi:10.1016/0167-2789(89)90105-x. ISSN 0167-2789.
Sprott, J.C.; Wildenberg, J.C.; Azizi, Yousef (2005). "A simple spatiotemporal chaotic Lotka–Volterra model". Chaos, Solitons & Fractals. 26 (4). Elsevier BV: 1035–1043. Bibcode:2005CSF....26.1035S. doi:10.1016/j.chaos.2005.02.015. ISSN 0960-0779.

nih.gov

pubmed.ncbi.nlm.nih.gov

Smale, S. (1976). "On the differential equations of species in competition". Journal of Mathematical Biology. 3 (1). Springer Science and Business Media LLC: 5–7. doi:10.1007/bf00307854. ISSN 0303-6812. PMID 1022822. S2CID 33201460.
Kondoh, M. (2003-02-28). "Foraging Adaptation and the Relationship Between Food-Web Complexity and Stability". Science. 299 (5611). American Association for the Advancement of Science (AAAS): 1388–1391. doi:10.1126/science.1079154. ISSN 0036-8075. PMID 12610303. S2CID 129162096.
Ackland, G. J.; Gallagher, I. D. (2004-10-08). "Stabilization of Large Generalized Lotka-Volterra Foodwebs By Evolutionary Feedback". Physical Review Letters. 93 (15). American Physical Society (APS): 158701. Bibcode:2004PhRvL..93o8701A. doi:10.1103/physrevlett.93.158701. ISSN 0031-9007. PMID 15524949.

semanticscholar.org

api.semanticscholar.org

Bomze, Immanuel M. (1983). "Lotka-Volterra equation and replicator dynamics: A two-dimensional classification". Biological Cybernetics. 48 (3). Springer Science and Business Media LLC: 201–211. doi:10.1007/bf00318088. ISSN 0340-1200. S2CID 206774680.
Bomze, Immanuel M. (1995). "Lotka-Volterra equation and replicator dynamics: new issues in classification". Biological Cybernetics. 72 (5). Springer Science and Business Media LLC: 447–453. doi:10.1007/bf00201420. ISSN 0340-1200. S2CID 18754189.
Smale, S. (1976). "On the differential equations of species in competition". Journal of Mathematical Biology. 3 (1). Springer Science and Business Media LLC: 5–7. doi:10.1007/bf00307854. ISSN 0303-6812. PMID 1022822. S2CID 33201460.
Hirsch, M W (1988-02-01). "Systems of differential equations which are competitive or cooperative: III. Competing species". Nonlinearity. 1 (1). IOP Publishing: 51–71. Bibcode:1988Nonli...1...51H. doi:10.1088/0951-7715/1/1/003. ISSN 0951-7715. S2CID 250848783.
Kondoh, M. (2003-02-28). "Foraging Adaptation and the Relationship Between Food-Web Complexity and Stability". Science. 299 (5611). American Association for the Advancement of Science (AAAS): 1388–1391. doi:10.1126/science.1079154. ISSN 0036-8075. PMID 12610303. S2CID 129162096.
Vano, J A; Wildenberg, J C; Anderson, M B; Noel, J K; Sprott, J C (2006-09-15). "Chaos in low-dimensional Lotka–Volterra models of competition". Nonlinearity. 19 (10). IOP Publishing: 2391–2404. Bibcode:2006Nonli..19.2391V. doi:10.1088/0951-7715/19/10/006. ISSN 0951-7715. S2CID 9417299.

worldcat.org

search.worldcat.org

Bomze, Immanuel M. (1983). "Lotka-Volterra equation and replicator dynamics: A two-dimensional classification". Biological Cybernetics. 48 (3). Springer Science and Business Media LLC: 201–211. doi:10.1007/bf00318088. ISSN 0340-1200. S2CID 206774680.
Bomze, Immanuel M. (1995). "Lotka-Volterra equation and replicator dynamics: new issues in classification". Biological Cybernetics. 72 (5). Springer Science and Business Media LLC: 447–453. doi:10.1007/bf00201420. ISSN 0340-1200. S2CID 18754189.
Smale, S. (1976). "On the differential equations of species in competition". Journal of Mathematical Biology. 3 (1). Springer Science and Business Media LLC: 5–7. doi:10.1007/bf00307854. ISSN 0303-6812. PMID 1022822. S2CID 33201460.
Hirsch, Morris W. (1985). "Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere". SIAM Journal on Mathematical Analysis. 16 (3). Society for Industrial & Applied Mathematics (SIAM): 423–439. doi:10.1137/0516030. ISSN 0036-1410.
Hirsch, M W (1988-02-01). "Systems of differential equations which are competitive or cooperative: III. Competing species". Nonlinearity. 1 (1). IOP Publishing: 51–71. Bibcode:1988Nonli...1...51H. doi:10.1088/0951-7715/1/1/003. ISSN 0951-7715. S2CID 250848783.
Hirsch, Morris W. (1990). "Systems of Differential Equations That are Competitive or Cooperative. IV: Structural Stability in Three-Dimensional Systems". SIAM Journal on Mathematical Analysis. 21 (5). Society for Industrial & Applied Mathematics (SIAM): 1225–1234. doi:10.1137/0521067. ISSN 0036-1410.
Kondoh, M. (2003-02-28). "Foraging Adaptation and the Relationship Between Food-Web Complexity and Stability". Science. 299 (5611). American Association for the Advancement of Science (AAAS): 1388–1391. doi:10.1126/science.1079154. ISSN 0036-8075. PMID 12610303. S2CID 129162096.
Ackland, G. J.; Gallagher, I. D. (2004-10-08). "Stabilization of Large Generalized Lotka-Volterra Foodwebs By Evolutionary Feedback". Physical Review Letters. 93 (15). American Physical Society (APS): 158701. Bibcode:2004PhRvL..93o8701A. doi:10.1103/physrevlett.93.158701. ISSN 0031-9007. PMID 15524949.
Vano, J A; Wildenberg, J C; Anderson, M B; Noel, J K; Sprott, J C (2006-09-15). "Chaos in low-dimensional Lotka–Volterra models of competition". Nonlinearity. 19 (10). IOP Publishing: 2391–2404. Bibcode:2006Nonli..19.2391V. doi:10.1088/0951-7715/19/10/006. ISSN 0951-7715. S2CID 9417299.
Roques, Lionel; Chekroun, Mickaël D. (2011). "Probing chaos and biodiversity in a simple competition model" (PDF). Ecological Complexity. 8 (1). Elsevier BV: 98–104. doi:10.1016/j.ecocom.2010.08.004. ISSN 1476-945X.
Nese, Jon M. (1989). "Quantifying local predictability in phase space". Physica D: Nonlinear Phenomena. 35 (1–2). Elsevier BV: 237–250. Bibcode:1989PhyD...35..237N. doi:10.1016/0167-2789(89)90105-x. ISSN 0167-2789.
Sprott, J.C.; Wildenberg, J.C.; Azizi, Yousef (2005). "A simple spatiotemporal chaotic Lotka–Volterra model". Chaos, Solitons & Fractals. 26 (4). Elsevier BV: 1035–1043. Bibcode:2005CSF....26.1035S. doi:10.1016/j.chaos.2005.02.015. ISSN 0960-0779.
Wildenberg, J.C.; Vano, J.A.; Sprott, J.C. (2006). "Complex spatiotemporal dynamics in Lotka–Volterra ring systems". Ecological Complexity. 3 (2). Elsevier BV: 140–147. doi:10.1016/j.ecocom.2005.12.001. ISSN 1476-945X.