Lotka–Volterra equations (English Wikipedia)

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

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18doi.org

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5harvard.edu

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1utk.edu

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1zenodo.org

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1jstor.org

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1archive.org

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1paulormerod.com

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1arxiv.org

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1ltcc.ac.uk

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archive.org

Goodwin, R. M. (1967). "A Growth Cycle". In Feinstein, C. H. (ed.). Socialism, Capitalism and Economic Growth. Cambridge University Press.

arxiv.org

Leconte, M.; Masson, P.; Qi, L. (2022). "Limit cycle oscillations, response time, and the time-dependent solution to the Lotka-Volterra predator-prey model". Physics of Plasmas. 29 (2): 022302. arXiv:2110.11557. doi:10.1063/5.0076085. S2CID 239616189.

books.google.com

Verhulst, P. H. (1838). "Notice sur la loi que la population poursuit dans son accroissement". Corresp. Mathématique et Physique. 10: 113–121.

doi.org

Hoppensteadt, F. (2006). "Predator-prey model". Scholarpedia. 1 (10): 1563. Bibcode:2006SchpJ...1.1563H. doi:10.4249/scholarpedia.1563.
Gilpin, M. E. (1973). "Do hares eat lynx?". American Naturalist. 107 (957): 727–730. Bibcode:1973ANat..107..727G. doi:10.1086/282870. S2CID 84794121.
Jost, C.; Devulder, G.; Vucetich, J.A.; Peterson, R.; Arditi, R. (2005). "The wolves of Isle Royale display scale-invariant satiation and density dependent predation on moose". J. Anim. Ecol. 74 (5): 809–816. doi:10.1111/j.1365-2656.2005.00977.x.
Pan, A.; Pourziaei, B.; Huang, H. (2015-06-03). "Effect of Ocean Iron Fertilization on the Phytoplankton Biological Carbon Pump". Advances in Applied Mathematics and Mechanics. 3 (1): 52–64. doi:10.4208/aamm.10-m1023. S2CID 124606355.
Hung, Hui-Chih; Chiu, Yu-Chih; Wu, Muh-Cherng (2017). "A Modified Lotka–Volterra Model for Diffusion and Substitution of Multigeneration DRAM Processing Technologies". Mathematical Problems in Engineering. 2017: 1–12. doi:10.1155/2017/3038203. ISSN 1024-123X.
Orlando, Giuseppe; Sportelli, Mario (2021), Orlando, Giuseppe; Pisarchik, Alexander N.; Stoop, Ruedi (eds.), "Growth and Cycles as a Struggle: Lotka–Volterra, Goodwin and Phillips", Nonlinearities in Economics: An Interdisciplinary Approach to Economic Dynamics, Growth and Cycles, Cham: Springer International Publishing, pp. 191–208, doi:10.1007/978-3-030-70982-2_14, ISBN 978-3-030-70982-2, retrieved 2025-04-20
Lotka, A. J. (1910). "Contribution to the Theory of Periodic Reaction". J. Phys. Chem. 14 (3): 271–274. doi:10.1021/j150111a004.
Berryman, A. A. (1992). "The Origins and Evolution of Predator-Prey Theory" (PDF). Ecology. 73 (5): 1530–1535. doi:10.2307/1940005. JSTOR 1940005. Archived from the original (PDF) on 2010-05-31.
Lotka, A. J. (1920). "Analytical Note on Certain Rhythmic Relations in Organic Systems". Proc. Natl. Acad. Sci. U.S.A. 6 (7): 410–415. Bibcode:1920PNAS....6..410L. doi:10.1073/pnas.6.7.410. PMC 1084562. PMID 16576509.
Rosenzweig, M. L.; MacArthur, R.H. (1963). "Graphical representation and stability conditions of predator-prey interactions". American Naturalist. 97 (895): 209–223. doi:10.1086/282272. S2CID 84883526.
Arditi, R.; Ginzburg, L. R. (1989). "Coupling in predator-prey dynamics: ratio dependence" (PDF). Journal of Theoretical Biology. 139 (3): 311–326. Bibcode:1989JThBi.139..311A. doi:10.1016/s0022-5193(89)80211-5. Archived from the original (PDF) on 2016-03-04. Retrieved 2013-06-26.
Abrams, P. A.; Ginzburg, L. R. (2000). "The nature of predation: prey dependent, ratio dependent or neither?". Trends in Ecology & Evolution. 15 (8): 337–341. doi:10.1016/s0169-5347(00)01908-x. PMID 10884706.
Gandolfo, G. (2008). "Giuseppe Palomba and the Lotka–Volterra equations". Rendiconti Lincei. 19 (4): 347–357. doi:10.1007/s12210-008-0023-7. S2CID 140537163.
Desai, M.; Ormerod, P. (1998). "Richard Goodwin: A Short Appreciation" (PDF). The Economic Journal. 108 (450): 1431–1435. CiteSeerX 10.1.1.423.1705. doi:10.1111/1468-0297.00350. Archived from the original (PDF) on 2011-09-27. Retrieved 2010-03-22.
Evans, C. M.; Findley, G. L. (1999). "A new transformation for the Lotka-Volterra problem". Journal of Mathematical Chemistry. 25: 105–110. doi:10.1023/A:1019172114300. S2CID 36980176.
Leconte, M.; Masson, P.; Qi, L. (2022). "Limit cycle oscillations, response time, and the time-dependent solution to the Lotka-Volterra predator-prey model". Physics of Plasmas. 29 (2): 022302. arXiv:2110.11557. doi:10.1063/5.0076085. S2CID 239616189.
Mollison, D. (1991). "Dependence of epidemic and population velocities on basic parameters" (PDF). Math. Biosci. 107 (2): 255–287. doi:10.1016/0025-5564(91)90009-8. PMID 1806118.
Nutku, I. (1990). "Hamiltonian structure of the Lotka-Volterra equations". Physics Letters A. 145 (1): 27–28. Bibcode:1990PhLA..145...27N. doi:10.1016/0375-9601(90)90270-X. hdl:11693/26204. S2CID 121710034.

handle.net

hdl.handle.net

Nutku, I. (1990). "Hamiltonian structure of the Lotka-Volterra equations". Physics Letters A. 145 (1): 27–28. Bibcode:1990PhLA..145...27N. doi:10.1016/0375-9601(90)90270-X. hdl:11693/26204. S2CID 121710034.

harvard.edu

ui.adsabs.harvard.edu

Hoppensteadt, F. (2006). "Predator-prey model". Scholarpedia. 1 (10): 1563. Bibcode:2006SchpJ...1.1563H. doi:10.4249/scholarpedia.1563.
Gilpin, M. E. (1973). "Do hares eat lynx?". American Naturalist. 107 (957): 727–730. Bibcode:1973ANat..107..727G. doi:10.1086/282870. S2CID 84794121.
Lotka, A. J. (1920). "Analytical Note on Certain Rhythmic Relations in Organic Systems". Proc. Natl. Acad. Sci. U.S.A. 6 (7): 410–415. Bibcode:1920PNAS....6..410L. doi:10.1073/pnas.6.7.410. PMC 1084562. PMID 16576509.
Arditi, R.; Ginzburg, L. R. (1989). "Coupling in predator-prey dynamics: ratio dependence" (PDF). Journal of Theoretical Biology. 139 (3): 311–326. Bibcode:1989JThBi.139..311A. doi:10.1016/s0022-5193(89)80211-5. Archived from the original (PDF) on 2016-03-04. Retrieved 2013-06-26.
Nutku, I. (1990). "Hamiltonian structure of the Lotka-Volterra equations". Physics Letters A. 145 (1): 27–28. Bibcode:1990PhLA..145...27N. doi:10.1016/0375-9601(90)90270-X. hdl:11693/26204. S2CID 121710034.

hw.ac.uk

ma.hw.ac.uk

Mollison, D. (1991). "Dependence of epidemic and population velocities on basic parameters" (PDF). Math. Biosci. 107 (2): 255–287. doi:10.1016/0025-5564(91)90009-8. PMID 1806118.

inria.fr

arima.inria.fr

Lobry, Claude; Sari, Tewfik (2015). "Migrations in the Rosenzweig-MacArthur model and the "atto-fox" problem" (PDF). Arima. 20: 95–125.

jstor.org

Berryman, A. A. (1992). "The Origins and Evolution of Predator-Prey Theory" (PDF). Ecology. 73 (5): 1530–1535. doi:10.2307/1940005. JSTOR 1940005. Archived from the original (PDF) on 2010-05-31.

ltcc.ac.uk

Baigent, Steve (2010-03-02). "Lotka-Volterra Dynamics - An introduction" (PDF).

nih.gov

pubmed.ncbi.nlm.nih.gov

Lotka, A. J. (1920). "Analytical Note on Certain Rhythmic Relations in Organic Systems". Proc. Natl. Acad. Sci. U.S.A. 6 (7): 410–415. Bibcode:1920PNAS....6..410L. doi:10.1073/pnas.6.7.410. PMC 1084562. PMID 16576509.
Abrams, P. A.; Ginzburg, L. R. (2000). "The nature of predation: prey dependent, ratio dependent or neither?". Trends in Ecology & Evolution. 15 (8): 337–341. doi:10.1016/s0169-5347(00)01908-x. PMID 10884706.
Mollison, D. (1991). "Dependence of epidemic and population velocities on basic parameters" (PDF). Math. Biosci. 107 (2): 255–287. doi:10.1016/0025-5564(91)90009-8. PMID 1806118.

ncbi.nlm.nih.gov

Lotka, A. J. (1920). "Analytical Note on Certain Rhythmic Relations in Organic Systems". Proc. Natl. Acad. Sci. U.S.A. 6 (7): 410–415. Bibcode:1920PNAS....6..410L. doi:10.1073/pnas.6.7.410. PMC 1084562. PMID 16576509.

paulormerod.com

Desai, M.; Ormerod, P. (1998). "Richard Goodwin: A Short Appreciation" (PDF). The Economic Journal. 108 (450): 1431–1435. CiteSeerX 10.1.1.423.1705. doi:10.1111/1468-0297.00350. Archived from the original (PDF) on 2011-09-27. Retrieved 2010-03-22.

psu.edu

citeseerx.ist.psu.edu

Desai, M.; Ormerod, P. (1998). "Richard Goodwin: A Short Appreciation" (PDF). The Economic Journal. 108 (450): 1431–1435. CiteSeerX 10.1.1.423.1705. doi:10.1111/1468-0297.00350. Archived from the original (PDF) on 2011-09-27. Retrieved 2010-03-22.

sciencedirect.com

Nutku, I. (1990). "Hamiltonian structure of the Lotka-Volterra equations". Physics Letters A. 145 (1): 27–28. Bibcode:1990PhLA..145...27N. doi:10.1016/0375-9601(90)90270-X. hdl:11693/26204. S2CID 121710034.

semanticscholar.org

api.semanticscholar.org

Gilpin, M. E. (1973). "Do hares eat lynx?". American Naturalist. 107 (957): 727–730. Bibcode:1973ANat..107..727G. doi:10.1086/282870. S2CID 84794121.
Pan, A.; Pourziaei, B.; Huang, H. (2015-06-03). "Effect of Ocean Iron Fertilization on the Phytoplankton Biological Carbon Pump". Advances in Applied Mathematics and Mechanics. 3 (1): 52–64. doi:10.4208/aamm.10-m1023. S2CID 124606355.
Rosenzweig, M. L.; MacArthur, R.H. (1963). "Graphical representation and stability conditions of predator-prey interactions". American Naturalist. 97 (895): 209–223. doi:10.1086/282272. S2CID 84883526.
Gandolfo, G. (2008). "Giuseppe Palomba and the Lotka–Volterra equations". Rendiconti Lincei. 19 (4): 347–357. doi:10.1007/s12210-008-0023-7. S2CID 140537163.
Evans, C. M.; Findley, G. L. (1999). "A new transformation for the Lotka-Volterra problem". Journal of Mathematical Chemistry. 25: 105–110. doi:10.1023/A:1019172114300. S2CID 36980176.
Leconte, M.; Masson, P.; Qi, L. (2022). "Limit cycle oscillations, response time, and the time-dependent solution to the Lotka-Volterra predator-prey model". Physics of Plasmas. 29 (2): 022302. arXiv:2110.11557. doi:10.1063/5.0076085. S2CID 239616189.
Nutku, I. (1990). "Hamiltonian structure of the Lotka-Volterra equations". Physics Letters A. 145 (1): 27–28. Bibcode:1990PhLA..145...27N. doi:10.1016/0375-9601(90)90270-X. hdl:11693/26204. S2CID 121710034.

springer.com

link.springer.com

Orlando, Giuseppe; Sportelli, Mario (2021), Orlando, Giuseppe; Pisarchik, Alexander N.; Stoop, Ruedi (eds.), "Growth and Cycles as a Struggle: Lotka–Volterra, Goodwin and Phillips", Nonlinearities in Economics: An Interdisciplinary Approach to Economic Dynamics, Growth and Cycles, Cham: Springer International Publishing, pp. 191–208, doi:10.1007/978-3-030-70982-2_14, ISBN 978-3-030-70982-2, retrieved 2025-04-20

sunysb.edu

life.bio.sunysb.edu

Arditi, R.; Ginzburg, L. R. (1989). "Coupling in predator-prey dynamics: ratio dependence" (PDF). Journal of Theoretical Biology. 139 (3): 311–326. Bibcode:1989JThBi.139..311A. doi:10.1016/s0022-5193(89)80211-5. Archived from the original (PDF) on 2016-03-04. Retrieved 2013-06-26.

unige.ch

archive-ouverte.unige.ch

Steiner, Antonio; Gander, Martin Jakob (1999). "Parametrische Lösungen der Räuber-Beute-Gleichungen im Vergleich". Il Volterriano. 7: 32–44.

utk.edu

tiem.utk.edu

Beals, M.; Gross, L.; Townsend, C.R. (1999). "Predator-Prey Dynamics". www.tiem.utk.edu. Archived from the original on 2012-12-15. Retrieved 2018-01-09.

web.archive.org

Beals, M.; Gross, L.; Townsend, C.R. (1999). "Predator-Prey Dynamics". www.tiem.utk.edu. Archived from the original on 2012-12-15. Retrieved 2018-01-09.
Berryman, A. A. (1992). "The Origins and Evolution of Predator-Prey Theory" (PDF). Ecology. 73 (5): 1530–1535. doi:10.2307/1940005. JSTOR 1940005. Archived from the original (PDF) on 2010-05-31.
Arditi, R.; Ginzburg, L. R. (1989). "Coupling in predator-prey dynamics: ratio dependence" (PDF). Journal of Theoretical Biology. 139 (3): 311–326. Bibcode:1989JThBi.139..311A. doi:10.1016/s0022-5193(89)80211-5. Archived from the original (PDF) on 2016-03-04. Retrieved 2013-06-26.
Desai, M.; Ormerod, P. (1998). "Richard Goodwin: A Short Appreciation" (PDF). The Economic Journal. 108 (450): 1431–1435. CiteSeerX 10.1.1.423.1705. doi:10.1111/1468-0297.00350. Archived from the original (PDF) on 2011-09-27. Retrieved 2010-03-22.

worldcat.org

search.worldcat.org

Hung, Hui-Chih; Chiu, Yu-Chih; Wu, Muh-Cherng (2017). "A Modified Lotka–Volterra Model for Diffusion and Substitution of Multigeneration DRAM Processing Technologies". Mathematical Problems in Engineering. 2017: 1–12. doi:10.1155/2017/3038203. ISSN 1024-123X.

wsu.edu

entomology.wsu.edu

Berryman, A. A. (1992). "The Origins and Evolution of Predator-Prey Theory" (PDF). Ecology. 73 (5): 1530–1535. doi:10.2307/1940005. JSTOR 1940005. Archived from the original (PDF) on 2010-05-31.

zenodo.org

Lotka, A. J. (1910). "Contribution to the Theory of Periodic Reaction". J. Phys. Chem. 14 (3): 271–274. doi:10.1021/j150111a004.