Skip to main content
Log in

Distribution and Biology of Invasive Species of Pea Weevil (Bruchus pisorum)

  • Published:
Russian Journal of Biological Invasions Aims and scope Submit manuscript

Abstract

A review on ecology, biology, and distribution of pea weevil and its main food plant, Pisum sativum, and the influence of abiotic, biotic and anthropogenic factors on the invasive process and phytosanitary condition of pea crops in Russia is presented. The main stages and areas of cultivation of pea and invasion of pea weevil from their primary habitat in Western Asia are traced. The factors and their causes are considered. In Russia, the economic importance of pea weevil has increased since the mid-1980s, which coincided with the spread of no-till and minimum tillage, climate warming, and a decrease in the size of farms. There was an expansion of its spread in the eastern and northeastern directions. Isolated foci of high density and harmfulness of the weevil was formed in Altai Territory in 1999. Pea weevil was registered in Tatarstan and Bashkiria in 1980–1983 and in Kemerovo and Tomsk oblasts in 2010–2012. From 2008 to 2018, there was an expansion of the range of this invader to the north, including Arkhangelsk oblast.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.

Similar content being viewed by others

REFERENCES

  1. Alekhin, V.T. and Ivanova, I.N., A pea weevil (Bruchus pisorum) in the Black Earth Central Region, Zashch. Karantin Rast., 2007, no. 6, pp. 28–29.

  2. Alekhin, V.T. and Ivanova, I.N., Pea pest control strategies, Zashch. Karantin Rast., 2010, no. 4, pp. 52–54.

  3. Argunov, P., Ocherki sel’skogo khozyaistva Minusinskago kraya: ob”yasnitel’nyi katalog sel’skokhozyaistvennogo otdela muzeya (Essays of Agriculture in the Minusinsk Region: Catalogue of Agricultural Department of the Museum), Kazan: Tipogr. N.A. Il’yashenko, 1892.

  4. Avtzis, D.N., Coyle, D.R., Christopoulos, V., and Roques, A., Biological invasions, national borders, and the current state of non-native insect species in Greece and the neighbouring Balkan countries, Bull. Insectol., 2017, vol. 70, no. 2, pp. 161–169.

    Google Scholar 

  5. Bain, A., A seventeenth-century beetle fauna from Colonial Boston, Historical Archaeology, 1998, vol. 32, no. 3, pp. 38–48.

    Article  Google Scholar 

  6. Bain, A. and Prévost, M.-A., Environmental archaeology and landscape transformation at the seventeenth-century Ferryland site, Newfoundland, Historical Archaeology, 2010, vol. 44, no. 3, pp. 21–35.

    Article  Google Scholar 

  7. Beenen, R. and Roques, A., Leaf and seed beetles (Coleoptera, Chrysomelidae), Chapter 8.3, BioRisk, 2010, vol. 4, no. 1, pp. 267–292.

    Article  Google Scholar 

  8. Berdnikov, V.A., Trusov, Y.A., Bogdanova, V.S., Kosterin, O.E., Rosov, S.M., Nedel’kina, S.V., and Nikulina, Y.N., The neoplastic pod gene (Np) may be a factor for resistance to the pest Bruchus pisorum L., Pisum Genetics, 1992, vol. 24, pp. 37–39.

    Google Scholar 

  9. Berim, M.N. and Saulich, M.I., Crop pests. Areal and harmful zones of Bruchus pisorum L., in Agroecologicheskii atlas Rossii i sopredelnikh stran (Ecological Atlas of Russia and Neighboring Countries), 2014. www.agroatlas.ru. Accessed September 10, 2019.

  10. Biology and control of the pea weevil in Lotien, Hupen, Acta Entomol. Sinica, 1966, vol. 15, no. 4, pp. 288–293.

  11. Borzenkova, G.A., Immunological evaluation of the sources of leguminous crops for resistance to pests and diseases in the context of the development of the scientific heritage of N.I. Vavilov, Legumes Groat Crops, 2012, no. 4, pp. 37–45.

  12. Byrne, O.M.T., Incorporation of pea weevil resistance from wild pea (Pisum fulvum) into cultivated field pea (Pisum sativum), Doctoral (Philos.) Dissertation, Perth, 2005.

  13. Campbell, J.M., Sarazin, M.J., and Lyons, D.B., Canadian beetles (Coleoptera) injurious to crops ornamentals, stored products and buildings, Agric. Can., Res. Branch, 1989: 1826.

  14. Clement, S.L., On the function of pea flower feeding by Bruchus pisorum,Entomol. Exp. Appl., 1992, vol. 63, no. 2, pp. 115–121.

    Article  Google Scholar 

  15. Clement, S.L., Hardie, D.C., and Elberson, L.R., Variation among accessions of Pisum fulvum for resistance to pea weevil, Crop Sci., 2002, vol. 42, pp. 2167–2173.

    Article  Google Scholar 

  16. Cooley, R.A., Ninth annual report of the state entomologist of Montana, Bull. Montana Agric. Exp. St., 1912, vol. 88, pp. 85–106.

    Google Scholar 

  17. Davis, H., Flora of Turkey and the East Aegean Islands, Edinbourgh, 1970, vol. 3.

    Google Scholar 

  18. Davletov, F.A., Selektsiya neosypayushchikhsya sortov gorokha v usloviyakh Yuzhnogo Urala (Selection of Non-Deciduous Pea Varieties in the Southern Urals), Ufa: Gilem, 2008.

  19. Doklad ob osobennostyakh klimata na territorii Rossiiskoi Federatsii za 2018 god (Report on Climate Features in the Russian Federation for 2018), Moscow: Rosgidromet, 2019.

  20. Doss, R.P., Oliver, J.E., Proebsting, W.M., Potter, S.W., Kuy, S., Clementi, S.L., Williamson, R.T., Carney, J.R., and de Vilbiss, E.D., Bruchins: insect-derived plant regulators that stimulate neoplasm formation, Proc. Natl. Acad. Sci. USA, 2000, vol. 97, no. 11, pp. 6218–6223.

    Article  CAS  Google Scholar 

  21. Esmelealem, M. and Adane, T., Effect of harvesting and threshing time and grain fumigation of field, Proc. 2nd Annu. Reg. Conf. on Completed Crops Research Activities, September 18–21,2007, Bahir Dar, 2007, pp. 109–120.

  22. Fadeeva, A.N., Pea yield formation in Tatarstan, in Selektsiya i semenovodstvo sel’skokhozyaistvennykh kul’tur v Tatarskoi ASSR (Breeding and Seed Production of Agricultural Crops in the Tatar ASSR), Kazan, 1984, pp. 55–59.

    Google Scholar 

  23. Ganiev, M.M., Nedorezkov, Kh.G., and Sharipov, V.D., Vrediteli i bolezni zerna i zernoproduktov pri khranenii (Pests and Diseases of Grain and Cereal Products during Their Storage), Moscow: KolosS, 2008.

  24. Gari, A.T., Pea weevil (Bruchus pisorum L.) resistance and genetic diversity in field pea (Pisum sativum L.), Doctoral Thesis, Alnarp: Swed. Univ. Agric. Sci., 2015.

  25. Geiter, O., Homma, S., and Kinzelbach, R., Bestandsaufnahme und Bewertung von Neozoen in Deutschland, Berlin, 2002.

    Google Scholar 

  26. Global Biodiversity Information Facility (GBIF), 2019. https://www.gbif.org/occurrence/search?q=Bruchus% 20pisorum. Accessed September 10, 2019.

  27. Govorov, L.I., Peas, in Kul’turnaya Flora SSSR, Tom 4: Zernovye bobovye (Cultured Flora of the USSR, Vol. 4: Cereal Legumes), Leningrad: Gos. Izd. Sovkhoz. i Kolkh. Lit., 1937, pp. 229–336.

  28. Gradoboeva, T.P. and Sheshegova, T.K., Pea weevil in the Non-Black Earth Zone, Zashch. Karantin Rast., 2013, no. 8, pp. 37–39.

  29. Haddis, Y. and Dargie, T., Characterization of dekoko (Pisum sativum var. abyssinicum) accessions by qualitative traits in the highlands of Southern Tigray, Ethiopia, Afr. J. Plant Sci., 2013, vol. 7, no. 10, pp. 482–487.

    Article  Google Scholar 

  30. Invasive Species Compedium, CAB Int., 2018. http://www.cabi.org/isc. Accessed September 10, 2019.

  31. Ivanova, I.N., Agroecological justification of pea protection from pests in the Central Black Earth Region, Extended Abstract Cand. Sci. (Agric.) Dissertation, Voronezh, 2009.

  32. Karpova, A.I., Prospects of biological method of pea grain control with Lathromeris senex Grese (Hymenoptera, Trichogrammatidae), Entomol. Rev., 1950, vol. 31, nos. 1–2, pp. 54–62.

  33. Kenis, M., Insects—Insecta, in An Inventory of Alien Species and Their Threat to Biodiversity and Economy in Switzerland, Wittenberg, R., Ed., CABI Bioscience Switzerland Centre Report to the Swiss Agency for Environment, Forests and Landscape, 2005, pp. 131–212.

  34. Khrolinskii, L.G. and Malakhanov, Yu.A., Triaspis and pea weevils, Zashch. Rast., 1979, no. 10, p. 39.

  35. Knechunas, S.V., The major pests of pea generative organs and control of their number in the central forest–steppes of Ukraine, Extended Abstract of Cand. Sci. (Agric.) Dissertation, Kiev, 2010.

  36. Kollar, V., Über die Lebensweise von Bruchus pisi und seine Schädlichkeit, Verhandlungen der Zoologisch-Botanischen Vereins in Wien, 1854, vol. 4, pp. 27–30.

    Google Scholar 

  37. Kosterin, O.E., Prospects of the use of wild relatives in pea (Pisum sativum L.) breeding, Vavilov J. Genet. Breed., 2015, vol. 19, no. 2, pp. 154–164.

    Google Scholar 

  38. Kosterin, O.E., Lathyrus schaeferi (Kosterin nom. nov. pro Pisum abyssinicum A. Br.)—problematic taxon, Vavilov J. Genet. Breed., 2017a, vol. 21, no. 2, pp. 158–169.

    Article  Google Scholar 

  39. Kosterin, O.E., Evolution and genegeography of wild pea forms (Pisum L.), Extended Abstract of Doctoral (Biol.) Dissertation, Novosibirsk, 2017b.

  40. Larson, A.O., Brindley, T.A., and Hinman, F.G., The local dispersal of the pea weevil, J. Econ. Entomol., 1933, vol. 26, pp. 1063–1068.

    Article  Google Scholar 

  41. Luk’yanovich, F.K., Importance and goals of studying forage relations of herbivorous insects, Zashch. Rast., 1938, no. 17, pp. 15–24.

  42. Majka, C. and Langor, D., The bean weevils (Coleoptera: Chrysomelidae: Bruchinae) of Atlantic Canada, J. Acad. Entomol. Soc., 2011, vol. 7, pp. 75–82.

    Google Scholar 

  43. Malakhanov, Yu.A., Field assessment of pea varieties for resistance to pea weevils, Byull. All-Union Inst. Plant Protect., 1985, no. 61, pp. 72–78.

  44. Maxted N. and Ambrose, M., Peas (Pisum L.), in Plant Genetic Resourses of Legumes in the Mediterranean, Maxted, N. and Bennett, S.L., Eds., Dordrecht: Kluwer, 2001, vol. 39, pp. 181–190.

    Book  Google Scholar 

  45. Mito, T. and Uesugi, T., Invasive alien species in Japan: the status quo and the new regulation for prevention of their adverse effects, Glob. Environ. Res., 2004, vol. 8, no. 2, pp. 171–191.

    Google Scholar 

  46. Morton, R.L., Schroeder, H.E., Bateman, K.S., Chrispeels, M.J., Armstrong, E., and Higgins, T.J.V., Bean α-amylase inhibitor 1 in transgenic peas (Pisum sativum) provides complete protection from pea weevil (Bruchus pisorum) under field conditions, Proc. Natl. Acad. Sci. USA, 2000, vol. 97, no. 8, pp. 3820–3825.

    Article  CAS  Google Scholar 

  47. Newman, L.J. and Elliot, H.G., The pea weevil, Bruchus pisorum (L.), J.Agr. West. Aust., 1938, vol. 15, pp. 156–158.

    Google Scholar 

  48. Nikolova, I.M. and Georgieva, N.A., Evaluation of damage caused by Bruchus pisorum L. (Coleoptera: Chrysomelidae) on some parameters related to seed quality of pea forage cultivars (Pisum sativum L.), J. Cent. Eur. Agric., 2015, vol. 16, no. 3, pp. 330–343.

    Article  Google Scholar 

  49. Obzor fitosanitarnogo sostoyaniya posevov sel’skokhozyaistvennykh kul’tur v Rossiiskoi Federatsii v 2011 godu i prognoz razvitiya vrednykh ob”ektov v 2012 godu. Vrediteli i bolezni zernobobovykh kul’tur (Review of the Phytosanitary Condition of Agricultural Crops in the Russian Federation in 2011 and Forecast of Development of Harmful Plant Pests in 2012. Pests and Diseases of Leguminous Plants), Moscow: Ross. S-khoz. Tsentr, 2012, pp. 150–172.

  50. Obzor fitosanitarnogo sostoyaniya posevov sel’skokhozyaistvennykh kul’tur v Rossiiskoi Federatsii v 2012 godu i prognoz razvitiya vrednykh ob”ektov v 2013 godu. Vrediteli i bolezni zernobobovykh kul’tur (Review of the Phytosanitary Condition of Agricultural Crops in the Russian Federation in 2012 and Forecast of Development of Harmful Plant Pests in 2013. Pests and Diseases of Leguminous Plants), Moscow: Ross. S-khoz. Tsentr, 2013, pp. 223–242.

  51. Obzor fitosanitarnogo sostoyaniya posevov sel’skokhozyaistvennykh kul’tur v Rossiiskoi Federatsii v 2013 godu i prognoz razvitiya vrednykh ob”ektov v 2014 godu. Vrediteli i bolezni zernobobovykh kul’tur (Review of the Phytosanitary Condition of Agricultural Crops in the Russian Federation in 2013 and Forecast of Development of Harmful Plant Pests in 2014. Pests and Diseases of Leguminous Plants), Moscow: Ross. S-khoz. Tsentr, 2014, pp. 303–327.

  52. Obzor fitosanitarnogo sostoyaniya posevov sel’skokhozyaistvennykh kul’tur v Rossiiskoi Federatsii v 2014 godu i prognoz razvitiya vrednykh ob”ektov v 2015 godu. Vrediteli i bolezni zernobobovykh kul’tur (Review of the Phytosanitary Condition of Agricultural Crops in the Russian Federation in 2014 and Forecast of Development of Harmful Plant Pests in 2015. Pests and Diseases of Leguminous Plants), Moscow: Ross. S-khoz. Tsentr, 2015, pp. 345–374.

  53. Obzor fitosanitarnogo sostoyaniya posevov sel’skokhozyaistvennykh kul’tur v Rossiiskoi Federatsii v 2015 godu i prognoz razvitiya vrednykh ob"ektov v 2016 godu. Vrediteli i bolezni zernobobovykh kul’tur (Review of the Phytosanitary Condition of Agricultural Crops in the Russian Federation in 2015 and Forecast of Development of Harmful Plant Pests in 2016. Pests and Diseases of Leguminous Plants), Moscow: Ross. S-khoz. Tsentr, 2016, pp. 509–537.

  54. Obzor fitosanitarnogo sostoyaniya posevov sel’skokhozyaistvennykh kul’tur v Rossiiskoi Federatsii v 2016 godu i prognoz razvitiya vrednykh ob”ektov v 2017 godu. Vrediteli i bolezni zernobobovykh kul’tur (Review of the Phytosanitary Condition of Agricultural Crops in the Russian Federation in 2016 and Forecast of Development of Harmful Plant Pests in 2017. Pests and Diseases of Leguminous Plants), Moscow: Ross. S-khoz. Tsentr, 2017, pp. 392–419.

  55. Obzor fitosanitarnogo sostoyaniya posevov sel’skokhozyaistvennykh kul’tur v Rossiiskoi Federatsii v 2017 godu i prognoz razvitiya vrednykh ob”ektov v 2018 godu. Vrediteli i bolezni zernobobovykh kul’tur (Review of the Phytosanitary Condition of Agricultural Crops in the Russian Federation in 2017 and Forecast of Development of Harmful Plant Pests in 2018. Pests and Diseases of Leguminous Plants), Moscow: Ross. S-khoz. Tsentr, 2018, pp. 422–467.

  56. Obzor fitosanitarnogo sostoyaniya posevov sel’skokhozyaistvennykh kul’tur v Rossiiskoi Federatsii v 2018 godu i prognoz razvitiya vrednykh ob”ektov v 2019 godu. Vrediteli i bolezni zernobobovykh kul’tur (Review of the Phytosanitary Condition of Agricultural Crops in the Russian Federation in 2018 and Forecast of Development of Harmful Plant Pests in 2019. Pests and Diseases of Leguminous Plants), Moscow: Ross. S-khoz. Tsentr, 2019, pp. 399–444.

  57. Olalquiaga, G., Pests of edible legumes in Chile, FAO Plant Protection Bull., 1953, vol. 11, pp. 166–168.

    Google Scholar 

  58. Orlova-Bienkowskaja, M.Ya., Spravochnik po chuzherodnym zhestkokrylym evropeiskoi chasti Rossii (Handbook on Alien Coleoptera of the European Part of Russia), Livny: Izd. G.V. Mukhametov, 2019.

  59. Poddubnaya, E.N. and Pridannikova, E.B., Protection of peas against noxious organisms in Western Siberia, Zashch. Karantin Rast., 2013, no. 6, pp. 18–20.

  60. Posylaeva, G.A., Sergienko, A.N., Ragulina, A.V., and Kushchenko, A.A., Adaptive abilities of the “peas–grain” biosystem, Izv. Khark. Entomol. Ob-va, 1996, vol. 4, nos. 1–2, pp. 137–139.

  61. Rabitsch, W. and Schuh, R., Käfer (Coleoptera), in Neobiota in Österreich, Essl, F. and Rabitsch, W., Eds., Wien: Umweltbundesamt, 2002, pp. 324–346.

  62. Reddy, G.V.P., Sharma, A., and Gadi, R.L., Biology, ecology, and management of the pea weevil (Coleoptera: Chrysomelidae), Ann. Entomol. Soc. Am., 2017, vol. 20, no. 10, pp. 1–11.

    Google Scholar 

  63. Sadovnikov, G.G., Biological characteristics, distribution, harmfulness, and development of pea weevil (Bruchus pisorum L.) control measures in the Altai Territory, Extended Abstract of Cand. Sci. (Agric.) Dissertation, Kurgan, 2009.

  64. Scheepers, L.C., Genetic origins of the introduced pea weevil (Bruchus pisorum) population in Ethiopia, Dissertation Magister Sci., Bloemfontein: Univ. Free State, 2012.

  65. Šefrová, H. and Laštůvka, Z., Catalogue of alien animal species in the Czech Republic, Acta Univ. Agric. Silvicult. Mendelianae Brunensis, 2005, vol. 53, no. 4, pp. 151–170.

  66. Shapiro, I.D., Vilkova, N.A., Shuster, M.M., and Malakhanov, Yu.A., Usovershenstvovannye metodicheskie ukazaniya po otsenke ustoichivosti obraztsov gorokha k gorokhovoi zernovke (Improved Methodological Guidelines for Assessing the Resistance of Pea Samples to Pea Weevils), Moscow: All-Union Inst. Plant Protect., 1987.

  67. Sharipov, Kh.G., Pea weevils—peas pest, Selskie uzory, 1998, no. 2, p. 15.

  68. Shpanev, A.M. and Laptiev, A.B., Pea weevils (Bruchus pisorum L.) from Kamennaya steppe, Voronezh Oblast, Vestn. Zashch. Rast., 2015, no. 4 (86), pp. 36–40.

  69. Shurovenkov, Yu.B. and Alekhin, V.T., Once again, the role of agricultural engineering, Zashch. Rast., 1995, no. 9, pp. 8–12.

  70. Skaife, S.H., Pea and bean weevils, Bull. Dept. Agric. Union South Afr., Pretoria, 1918, no. 12, pp. 1–32.

  71. Somerfield, K.G., Recent aspects of stored product entomology in New Zealand, New Zeal. J. Agric. Res., 1981, vol. 24, pp. 403–408.

    Article  Google Scholar 

  72. Stejskal, V., Aulicky, R., and Kucerova, Z., Pest control strategies and damage potential of seed-infesting pests in the Czech stores—a review, Plant Protect. Sci., 2014, vol. 50, pp. 165–173.

    Article  Google Scholar 

  73. Taranukho, V.G. and Kamasin, S.S., Peas: Significance, Biology, and Technology, Gorki: Bel. Gos. S-khoz. Akad., 2009.

  74. Tomov, R., Trencheva, K., Trenchev, G., Cota, E., Ramadhi, A., Ivanov, B., Naceski, S., Papazova-Anakieva, I., and Kenis, M., Non-Indigenous Insects and Their Threat to Biodiversity and Economy in Albania, Bulgaria, and Republic of Macedonia, Sofia–Moscow: Pensoft, 2009.

  75. Townsend, C., Contribution to the flora of Iraq. V. Notes on leguminosales, Kew Bull.,Official J. R. Bot. Gard., 1968, vol. 2, pp. 435–458.

    Google Scholar 

  76. Vakhitova, R.K., Damage to pea plant varieties by Bruchus pisorum L. in the Republic of Bashkortostan, Vestn. Orel Gos. Univ., 2009, no. 6, pp. 99–102.

  77. Vakhitova, R.K., Formation of the peas yield related to the elements of cultivation technology in the Pre-Urals region of the Republic of Bashkortostan, Cand. Sci. (Agric.) Dissertation, Ufa, 2015.

  78. Vasil’ev, I.V., Origin and worldwide distribution of pea weevil (Bruchus pisorum L.), Vestn. Zashch. Rast., 1939, no. 1, pp. 44–45.

  79. Vasil’ev, I.V., Pea weevils (Bruchus pisorum L.), Vestn. Zashch. Rast., 1941, no. 1, pp. 27–35.

  80. Waterhouse, D.F. and Sands, D.P.A., Classical biological control of arthropods in Australia, in ACIAR Monographs, Canberra: Aust. Centre Int. Agric. Res., 2001, no. 77.

  81. Whitehead, F.E., The pea weevil problem, J. Econ. Entomol., 1930, vol. 23, pp. 398–401.

    Article  Google Scholar 

  82. Yoshida, T., Local distribution of the eggs of the pea weevil, Bruchus pisorum L., Nat. Sci., 1959, vol. 6, pp. 11–21.

    Google Scholar 

  83. Yoshida, T., Historical review of bruchid studies in Japan, in Bruchids and Legumes: Economics, Ecology and Coevolution, Fujii, K., Gatehouse, A.M.R., Johnson, C.D., Mitchel, R., and Yoshida, T., Eds., Dordrecht: Kluwer, 1990, pp. 1–24.

    Google Scholar 

  84. Zubareva, K.Yu., Phenolic compounds—an element of plant protection against pea weevils, in Nauchnye osnovy povysheniya effektivnosti sel’skokhozyaistvennogo proizvodstva (Scientific Basis for Improving the Agricultural Productivity Efficiency), Orel: Orel Gos. Agr. Univ., 2005, pp. 141–143.

  85. Zubareva, K.Yu., Structural and biochemical features of Pisum sativum L., which are determining their resistance to Bruchus pisorum L., Extended Abstract of Cand. Sci. (Biol.) Dissertation, Voronezh, 2006.

Download references

Funding

The studies were carried out as part of the state assignment on the topic 0665-2019-0014 by the Laboratory of Phytosanitary Diagnostics and Forecasts of the All-Russian Research Institute of Plant Protection “Inventory, Monitoring, and Mapping of Biological Diversity in Agrolandscapes and Agroecosystems Taking into Account Changing Conditions,” project no. АААА-А16-116080510098-1.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. G. Kaplin.

Ethics declarations

COMPLIANCE WITH ETHICAL STANDARDS

The study was performed without the use of animals and without involving people as subjects.

CONFLICTS OF INTEREST

The author declares no conflict of interest.

Additional information

Translated by M. Shulskaya

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kaplin, V.G. Distribution and Biology of Invasive Species of Pea Weevil (Bruchus pisorum). Russ J Biol Invasions 11, 21–30 (2020). https://doi.org/10.1134/S2075111720010051

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2075111720010051

Keywords:

Navigation