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Volume 13   Issue 1   Year 2018
Anastasia Abramova, Alex Topaj

Case Study of Plant-Microbial Symbiosis Model Using Evolutionary Game Theory

Mathematical Biology & Bioinformatics. 2018;13(1):130-158.

doi: 10.17537/2018.13.130.



  1. Sprent J.I., Sutherland J.M., de Faria S.M. Some aspects of the biology of nitrogen-fixing organisms. Philosophical Transactions of the Royal Society B: Biological Sciences. 1987;317:111-129. doi: 10.1098/rstb.1987.0051
  2. Ridley M. Proiskhozhdenie al'truizma i dobrodeteli. Ot bor'by za vyzhivanie k sotrudnichestvu. Moscow; 2016. 416 p. (Translation of: Ridley M. The Origins of Virtue: Human Instinkst and the Evolution of Cooperation).
  3. Liu Y., Wu L., Baddeley J.A., Watson C.A. Models of biological nitrogen fixation of legumes. Agronomy for Sustainable Development. 2011;31(1):155. doi: 10.1051/agro/2010008
  4. Khvorova L.A., Topaj A.G., Abramova A.V., Neupokoeva K.G. Approaches to Description of a Symbiotic Nitrogen Fixation Part 1. Analysis and Identification of Factors With Their Priority Assessment. Izvestiya of Altai State University Journal. 2015;1(85/1):192-196 (in Russ.).
  5. Abramova A.V., Topaj A.G., Khvorova L.A. Agent-based simulation of biological nitrogen fixation: from passive objects to active entities. Agrophysica. 2015;4(20):49-62 (in Russ.).
  6. Denison R. F. Legume Sanctions and the Evolution of Symbiotic Cooperation by Rhizobia. The American Naturalist. 2000;156:567-576. doi: 10.1086/316994
  7. Maynard Smith J. Evolution and the Theory of Games. Cambridge University Press; 1982. 234 p. doi: 10.1017/CBO9780511806292
  8. Friesen M.L. Widespread fitness alignment in the legume-rhizobium symbiosis. New Phytologist. 2012;194:1096-1111. doi: 10.1111/j.1469-8137.2012.04099.x
  9. Akçay E., Roughgarden J. Negotiation of mutualism: rhizobia and legumes. Proceedings of the Royal Society B: Biological Sciences. 2007;274 (1606):25-32. doi: 10.1098/rspb.2006.3689
  10. Simms E.L., Taylor D.L. Partner choice in nitrogen-fixation mutualisms of legumes and rhizobia. Integrative and Comparative Biology. 2002;42:369-380. doi: 10.1093/icb/42.2.369
  11. Kiers E.T., Rousseau R.A., West S.A., Denison R.F. Host sanctions and the legume-rhizobium mutualism. Nature. 2003;425:78-81. doi: 10.1038/nature01931
  12. Bever J.D., Simms E.L. Evolution of nitrogen fixation in spatially structured populations of Rhizobium. Heredity. 2000;85(4):366-372. doi: 10.1046/j.1365-2540.2000.00772.x
  13. West S.A., Kiers E.T., Simms E.L., Denison R.F. Sanctions and mutualism stability: why do rhizobia fix nitrogen? Proceedings of the Royal Society B: Biological Sciences. 2002;269:685-694. doi: 10.1098/rspb.2001.1878
  14. Fujita H., Aoki S., Kawaguchi M. Evolutionary Dynamics of Nitrogen Fixation in the Legume–Rhizobia Symbiosis. PLoS ONE. 2014;9(4):e93670. doi: 10.1371/journal.pone.0093670
  15. Moyano G., Marco D., Knopoff D., Torres G., Turner C. Explaining coexistence of nitrogen fixing and non-fixing rhizobia in legume–rhizobia mutualism using mathematical modeling. Mathematical Biosciences. 2017;292:30-35. doi: 10.1016/j.mbs.2017.07.001
  16. Abramova A.V., Topaj A.G. In: Simulation. Theory and Practice (IMMOD-2015): Collected Papers of the 7th All-Russian scientific-practical conference. Ed. Iusupov R. Moscow; 2015. P. 380-384 (in Russ.).
  17. Uchinomiya K., Iwasa Y. Optimum resource allocation in the plant–fungus symbiosis for an exponentially growing system. Evolutionary Ecology Research. 2014;16:363-372.
  18. Adami C., Schossau J., Hintze A. Evolutionary game theory using agent-based methods. Physics of Life Reviews. 2016;19:1-26. doi: 10.1016/j.plrev.2016.08.015
  19. Berezovskaya F.S., Kareva I.G., Karev G.P. Is it possible to prevent the “Tragedy of common resource”? Mathematical Biology and Bioinformatics. 2012;7(1):30-44 (in Russ.). doi: 10.17537/2012.7.30
  20. Gorban A.N. Selection Theorem for Systems with Inheritance. Mathematical Modelling of Natural Phenomena. 2007;2:1-45. doi: 10.1051/mmnp:2008024
Table of Contents Original Article
Math. Biol. Bioinf.
doi: 10.17537/2018.13.130
published in Russian

Abstract (rus.)
Abstract (eng.)
Full text (rus., pdf)


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