Russian Federation
Based on the analysis of experimental data on the interaction of plant communities in the struggle for existence, as reflected in the well-known works of V. Sukachev, A. Shennikova, V. B. Sochava, T. Lysenko, M. V. Markova and other researchers, identified the main provisions and conditions, according to which a new mathematical model for intraspecific and inter-species relations of plants was compiled.
plant communities, mathematical model, number of individuals, food, periodicity
1. Griguleckiy V.G. Matematicheskaya model' vzaimodeystviya. Chast' I // Mezhdunarodnyy sel'skohozyaystvennyy zhurnal, 2019, №1.
2. Erazm Darvin. Hram Prirody // - M.-L.: AN SSSR, 1960. - 260 s.
3. Darwin E. The Temple of Nature; Or The Origin of Society: A poem With Philosophical Notes // London, 1803.
4. Darvin Ch. Proishozhdenie vidov putem estestvennogo podbora, ili sohranenie blagopriyatstvuemyh porod v bor'be za zhizn' // Izdanie V.I. Gubinskogo.: S/Pb., 1909.
5. Darvin Ch. Proishozhdenie vidov // Perevod K.A. Timiryazeva s ispravleniyami i ukazatelyami. Pod obschey redakciey akademika N.I. Vavilova.: M.-L., 1935.
6. Vavilov N.I. Zakon gomologicheskih ryadov v nasledstvennoy izmenchivosti // Trudy III Vserossiyskogo Selekcionnogo S'ezda.: Saratov, 1920.
7. Vavilov N.I. Zakon gomologicheskih ryadov v nasledstvennoy izmenchivosti // Vtoroe pererabotannoe i rasshirennoe izdanie.: M.-L., 1935.
8. Sukachev V.N. Vvedenie v uchenie o rastitel'nyh soobschestvah. - Izdatel'stvo A.S. Panafidinoy. - Sankt-Peterburg, 1915.
9. Sukachev V.N. O terminologii v uchenii o rastitel'nyh soobschestvah. - Zhurnal Russkogo Botanicheskogo obschestva, 1917, tom 2.
10. Sukachev V.N. O rastitel'nyh soobschestvah (vvedenie v fitosociologiyu). Vtoroe dopolnennoe izdanie. - Petrograd.: KNIGA, 1917.
11. Sukachev V.N. Rastitel'nye soobschestva (vvedenie v fitosociologiyu). Tret'e pererabotannoe i dopolnennoe izdanie. - Leningrad-Moskva.: KNIGA, 1926.
12. Sukachev V.N. Eksperimental'nayafitosociologiya i ee zadachi. - Zapiski Leningradskogo sel'skohozyaystvennogo instituta, 1925.
13. Sukachev V.N. K voprosu o bor'be za suschestvovanie mezhdu biotipami odnogo i togo zhe vida. - Sbornik statey k yubileyu akademika I.P. Borodina, - M.: AN SSSR, 1927.
14. Sukachev V.N. Opyt eksperimental'nogo izucheniya mezhbiotipnoy bor'by za suschestvovanie u rasteniy. - Trudy Petergofskogo biologicheskogo instituta, 1936.
15. Sukachev V.N. Problemy bor'by za suschestvovanie v biologii. - Vestnik Leningradskogo universiteta, 1946, №2.
16. Sukachev V.N. O vnutrividovyh i mezhvidovyh vzaimootnosheniyah sredi rasteniy. - Botanicheskiy zhurnal, 1953, tom 38, №1.
17. Lyubimenko V.N., Scheglova O.A., Bulgakova Z.P. Opyty nad sorevnovaniem za mesto u rasteniy. - Zhurnal Russkogo Botanicheskogo Obschestva, 1925, tom 10, vyp. 3-4.
18. Uspenskaya L.I. Materialy po eksperimental'nomu izucheniyu bor'by za suschestvovanie mezhdu rasteniyami. - Zapiski Leningradskogo sel'skohozyaystvennogo instituta, 1926, tom. 3, №1.
19. Shennikov A.P. Eksperimental'noe izuchenie vzaimootnosheniy mezhdu rasteniyami. - Sbornik k semidesyatiletiyu so dnya rozhdeniya Prezidenta AN SSSR V.L. Komarovu. - M.: AN SSSR, 1939.
20. Sochava V.B. Opyt fitosociologicheskogo vzaimodeystviya mezhdu individami nekotoryh lugovyh rasteniy. - Zhurnal Russkogo Botanicheskogo Obschestva, 1926, tom 11, vyp. 1.
21. SochavaVk. Etyudy po eksperimental'noyfitosociologii. - Zapiski Leningradskogo sel'skohozyaystvennogo instituta, 1926, tom. 3.
22. Lysenko T. Estestvenny otbor i vnutrividovaya konkurenciya. - Agrobiologiya, 1946, №2.
23. Lysenko T. Estestvenny otbor i vnutrividovaya konkurenciya. - Socialisticheskoe zemledelie, 1945, №3-6.
24. Markov M.V. Bor'ba za suschestvovanie mezhdu rasteniyami i urozhay. - Uchenye zapiski Kazanskogo Gosudarstvennogo universiteta, 1943, vyp. 102.
25. Markov M.V. Vopros o vzaimootnosheniyah mezhdu rastitel'nymi organizmami, vhodyaschimi v sostav rastitel'nogo soobschestva. - Botanicheskiy zhurnal, 1955, tom 40, №2.
26. Markov M.V. Vopros o vzaimootnosheniyah mezhdu rasteniyami v chistyh posevah. - Sb. «Problemy botaniki». - M.: AN SSSR, 1962, tom VI.
27. Markov M.V. O vzaimootnosheniyah mezhdu rasteniyami v rastitel'nom soobschestve. - Sb. «Vzaimootnosheniya rasteniy v rastitel'nom soobschestve». - Kazan'.: KGU 1964.
28. Markov M.V. Eksperimental'noe izuchenie vzaimootnosheniy mezhdu rasteniyami v rastitel'nom soobschestve. - Sb. «Eksperimental'naya geobotanika». - Kazan'.: KGU 1965.
29. Karpov V.G. O konkurencii mezhdu drevostoem i podrostom v nasazhdeniyah zasushlivoy stepi. - Botanicheskiy zhurnal, 1955, tom 40, №3.
30. Karpov V.G. O nekotoryh fiziologicheskih osobennostyah seyancev duba v usloviyah kornevoy konkurencii. - Botanicheskiy zhurnal, 1956, tom 41, №9.
31. Karpov V.G. Konkurenciya korney drevostoya i stroenie travyano-kustarnikovogo yarusa v taezhnyh lesah. - Doklady AN SSSR, 1958, tom 119, №2.
32. Karpov V.G. Konkurenciya korney derev'ev i soderzhanie pitatel'nyh veschestv v list'yah rasteniy travyano-kustarnikovogo yarusa taezhnyh lesov. - Doklady AN SSSR, 1959, tom 129, №5.
33. Karpov V.G. Osnovnye itogi eksperimental'nyh issledovaniy vzaimootnosheniy mezhdu rasteniyami v lesah sredney taygi. - Botanicheskiy zhurnal, 1960, tom 45, №2.
34. Vnutrividovaya bor'ba u zhivotnyh i rasteniy. - M.: MGU, 1948. - 47 s.
35. Shmal'gauzen I.I. Vneshnie faktory, mezhvidovaya bor'ba i vnutrividovoe sorevnovanie v ih vzaimodeystvii // Sbornik statey «Vnutrividovaya bor'ba u zhivotnyh i rasteniy». - M.: MGU, 1947, s. 3-14.
36. Sabinin D.A. O vnutrividovoy bor'be v iskusstvennyh i estestvennyh nasazhdeniyah rasteniy // Sbornik statey «Vnutrividovaya bor'ba u zhivotnyh i rasteniy». - M.: MGU, 1947, s. 33-47.
37. Malthus T.R. An Essay on the Principle of Population. - London, Jonson, 1798.
38. Mal'tus T. Opyt Zakona o narodonaselenii. Sokraschennyy perevod I.A. Vernera. - Moskva. Izdanie M.N. Prokopovicha, 1908.
39. Par P.-F. Verhulst. Notice sur la loique la population suit dans son accroissement.- CorrespondanceMathematiqueet Physique. - Paris; Leipzig, 1838, tomX.
40. Lotka A.J. Elements of Physical Biology. - Baltimore, 1925.
41. Gause G.F. Ecology of populations. - Quart. Rev. Biology, 1932, tom 7.
42. Volterra V. Leconssur la theoriemathematique de la lutte pour la Vie. - Paris, 1931.
43. Vol'terra V. Matematicheskaya teoriya bor'by za suschestvovanie. - Moskva-Izhevsk, 2004.