MATEMATICHESKAYA MODEL' VZAIMODEYSTVIYA RASTITEL'NYH SOOBSCHESTV. CHAST' II
Abstract and keywords
Abstract (English):
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.

Keywords:
plant communities, mathematical model, number of individuals, food, periodicity
Text
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.
References

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.

Login or Create
* Forgot password?