Economic and mathematical model of bee colonies housing in two-block hive with combined technological partitionEconomic and mathematical model of bee colonies housing in two-block hive with combined technological partition

One of the main directions of increasing the economic efficiency of bee products is increase in productivity of bee colonies with economical expenditure of material resources, primarily use of such basic means as new design bee hive. A completely new design of a two-block bee hive is proposed, allowing two families of bees in one house. The two-block bee hive allows to use a simple technological partition to combine two different families with their uterus and get one super-strong family. In two-block hives, the main drawback of one-block hives has been eliminated – significant weight of hive body, which restrains increase in productivity of beekeeper and prevents decrease in product cost price. The volume of a two-block bee hive and the parameters of a combined technological partition, which were obtained as a result of observations and longterm experiments, have been justified. Economic and mathematical model of bee colonies development when housed in two-block hive with combined technological partition is presented. Practical calculation of the economic potential of two-block bee hive has been made. Substantiation of regularity of obtaining high results in housing and peaceful unification of bee colonies in a two-block bee hive with a technological combined partition is given. Keeping bees in the developed two-block hives opens up great prospects in the field of beekeeping.

1. Gusakov V. G. (ed.). Economics of organizations and branches of the agro-industrial complex. Book 1. Minsk, Belorusskaya nauka, 2007. 891 p. (in Russian).

2. Grantson M.E. What do we know about honey? Novosibirsk, Knizhnoe izdatel’stvo Publ., 1991. 112 p. (in Russian).

3. McLellan A. R., Rowland C. M., Fawcett R.H. A monogynous eusocial insect worker population model with particular reference to honeybees. Insectes Sociaux, 1980, vol. 27, no. 4 pp. 305-311. https://doi.org/10.1007/BF02223723

4. Harris J.L. A model of honeybee colony population dynamics. Journal of Apicultural Research, 1985, vol. 24, no. 4, pp. 228-236.

5. Kudryakov A.V. A simple model of the honeybee colony functional-age composition and its some applications. Izvestiya Samarskogo nauchnogo tsentra Rossiiskoi akademii nauk = Izvestia of Samara Scientific Center of the Russian Academy of Sciences, 2006, vol. 8, no. 2, pp. 556-563 (in Russian).

6. Frisch K. von. Aus dem Leben der Bienen. Berlin etc., Springer, 1977. 194 p. (in German).

7. Taranov G.F. Biology of bee family. Moscow, Sel’khozgiz Publ., 1961. 336 p. (in Russian).

8. Shershnev A.N. Determination of the volume of two-block beehive. Vestnik Belorusskoi gosudarstvennoi sel’skokhozyaistvennoi akademii = Bulletin of the Belarussian State Agricultural Academy, 2012, no. 2, pp. 115-119 (in Russian).

9. Nagornyi V.N. How to make a beehive. Nagorny, V.N. How to make a beehive / V.N. Nagorny. Kursk, Knizhnoe izdatel’stvo Publ., 1958. 94 p. (in Russian).

10. Grout R. A. (ed.). The hive and the honey bee. 5th ed. Hamilton, Dadant & Sons, 1963. 556 p.

11. Maidana N. A., Benavente M. A., Eguaras M. A model in differential equations to describe the mite varroa destructor population dynamic in apis mellifera colonies. Revista Electrónica de Contenido Matemático, 2005, vol. 16, no. 9.

12. Seryakov I. S., Petrovets V. R., Khromenkova T. L., Shershnev A.N. Economic potential and comparative analysis of a two-block beehive. Vestnik Belorusskoi gosudarstvennoi sel’skokhozyaistvennoi akademii = Bulletin of the Belarussian State Agricultural Academy, 2013, no. 1, pp. 93-99 (in Russian).

13. Krakhotin N. F., Radzhabov A. P., Es’kov E.K. Mechanization of beekeeping and beekeeping equipment. Tashkent, Mekhnat Publ., 1987. 176 p. (in Russian).

14. Eberl H. J., Frederick M. R., Kevan P.G. Importance of brood maintenance terms in simple models of the honeybee – Varroa destructor – acute bee paralysis virus complex. Electronic Journal of Differential Equations, 2010, vol. 19, pp. 85-98.

15. Temnov V.A. Processing of wax raw materials in the apiary. Moscow, Rossel’khozizdat Publ., 1966. 103 p. (in Russian).

16. Omholt S.W. A model for intracolonial population dynamics of the honeybee in temperate zones. Journal of Apicultural Research, 1986, vol. 25, no. 1, pp. 9-21. https://doi.org/10.1080/00218839.1986.11100686

17. Yablokov A.V. Population biology. Moscow, Vysshaya shkola Publ., 1987. 303 p. (in Russian).

18. Morozkin N. D., Chudinov V. V., Gileva O.V. A mathematical model of the life cycle of a honey bee under abiotic influences. Rol’ klassicheskikh universitetov v formirovanii innovatsionnoi sredy regionov: materialy Mezhdunarodnoi nauchno-prakticheskoi konferentsii, Ufa, 2-5 dekabrya 2009 g. [The role of classical universities in the formation of the innovative environment of the regions: proceedings of the international scientific and practical conference, Ufa, 2-5 December 2009]. Ufa, 2009, vol. 2, pt. 1, pp. 55-60 (in Russian).

19. Astaf’ev N. Calculation of the damage caused and its compensation. Pchelovodstvo [Beekeeping], 2011, no. 8, pp. 48 50 (in Russian).

20. Shershnev A. N., Seryakov I. S., Petrovets V.R. Some spects of natural convection in a two-unit beehive. Vestnik Belorusskoi gosudarstvennoi sel’skokhozyaistvennoi akademii = Bulletin of the Belarussian State Agricultural Academy, 2012, no. 1, pp. 140-144 (in Russian).

21. Petrovets V. R., Seryakov I. S., Dudko N. I., Shershnev A.N. Substantiation of the parameters and shape of the technological combined partition of a two-block bee hive. Vestnik Belorusskoi gosudarstvennoi sel’skokhozyaistvennoi akademii = Bulletin of the Belarussian State Agricultural Academy, 2012, no. 3, pp. 140-149 (in Russian).

22. Seryakov I. S., Khodarev N. G., Medvetskii N.S. Feeds and fodder base of beekeeping: a manual for students. Minsk, Educational and methodological center of the Ministry of Agriculture and Food, 2007. 105 p. (in Russian).

23. Korzh V.N. Beekeeping. Practical course. Rostov-on-Don, Feniks Publ., 2008. 545 p. (in Russian).

24. Shemetkov M. F., Smirnova N. I., Kochevoi M.M. Advice to the beekeeper. 2nd ed. Minsk, Uradzhai Publ., 1983. 256 p. (in Russian).

25. Shershnev A.N. Determination of the volume of two-block beehive. Vestnik Belorusskoi gosudarstvennoi sel’skokhozyaistvennoi akademii = Bulletin of the Belarussian State Agricultural Academy, 2012, no. 2, pp. 115-119 (in Russian).

26. Petrovets V. R., Seryakov I. S., Gaidukov V. A., Shershnev A.N. Engineering solutions for temperature factor in a two-unit multifunctional beehive. Vestnik Belorusskoi gosudarstvennoi sel’skokhozyaistvennoi akademii = Bulletin of the Belarussian State Agricultural Academy, 2014, no. 2, pp. 210-215 (in Russian)