Russian version English version
About the Journal
Editorial Board
Instructions for Authors
Information for Readers and Authors
Current Issue
Archive
Contact Us
Search

Send manuscript
 


Volume 20   Issue 1   Year 2025
References

  1. Fisher R.A. On the dominance ratio. Proceedings of the Royal Society of Edinburgh. 1923;42:321-341. doi: 10.1017/S0370164600023993
  2. Haldane J.B.S. A mathematical theory of natural and artificial selection. Part II. The influence of partial self-fertilisation, inbreeding, assortative mating, and selective fertilisation on the composition of Mendelian populations, and on natural selection. Biological Reviews. 1924(1):158-163. doi: 10.1111/j.1469-185X.1924.tb00546.x
  3. Fisher R.A. The genetical theory of natural selection. Oxford: Clarendon Press, 1930. 272 p. doi: 10.5962/bhl.title.27468
  4. Bazykin A.D. Disadvantages of Heterozygotes in a System of Two Adjacent Populations. Soviet Genetics. 1974;8(11):1453-1457.
  5. Frisman E.Ia. Pervichnaia geneticheskaia divergentsiia (Teoreticheskii analiz i modelirovanie) (Primary Genetic Divergence (Theoretical Analysis and Modeling)) Vladivostok, 1986. 160 p. (in Russ.).
  6. Altrock P.M., Traulsen A., Reeves R.G., Reed F.A. Using underdominance to bi-stably transform local populations. Journal of Theoretical Biology. 2010;267(1):62-75. doi: 10.1016/j.jtbi.2010.08.004
  7. Laruson A.J., Reed F.A. Stability of underdominant genetic polymorphisms in population networks. Journal of Theoretical Biology. 2016;390:156-163. doi: 10.1016/j.jtbi.2015.11.023
  8. Yeaman S., Otto S.P. Establishment and maintenance of adaptive genetic divergence under migration, selection, and drift. Evolution. 2011;65(7):2123-2129. doi: 10.1111/j.1558-5646.2011.01277.x
  9. Kulakov M.P., Frisman E.Y. Simple and complex dynamics in the model of evolution of two populations coupled by migration with non-overlapping generations. Izvestiya VUZ. Applied Nonlinear Dynamics. 2022;30(2):208-232. doi: 10.18500/0869-6632-2022-30-2-208-232
  10. Haldane J.B.S. A Mathematical Theory of Natural and Artificial Selection, Part V: Selection and Mutation. Mathematical Proceedings of the Cambridge Philosophical Society. 1927;23(7):838-844. doi: 10.1017/S0305004100015644
  11. Wright S. Evolution in Mendelian populations. Genetics. 1931;16(2):97-159. doi: 10.1093/genetics/16.2.97
  12. Karlin S., McGregor J. Application of method of small parameters to multi-niche population genetic models. Theoretical Population Biology. 1972;3(2):186-209. doi: 10.1016/0040-5809(72)90026-32
  13. Zhdanova O.L., Frisman E.Y. On the genetic divergence of migration-coupled populations: modern modeling based on the experimental results of Yu.P. Altukhov et al. Russ. J. Genet. 2023;59:614-622. doi: 10.1134/S10227954230601332
  14. Novak S. The number of equilibria in the diallelic Levene model with multiple demes. Theoretical Population Biology. 2011;79:97-101. doi: 10.1016/j.tpb.2010.12.002
  15. Sundqvist L., Keenan K., Zackrisson M., Prodohl P., Kleinhans D. Directional genetic differentiation and relative migration. Ecology and Evolution. 2016;6(11):3461-3475. doi: 10.1002/ece3.2096
  16. Silva J.A.L., Barrionuevo J.A., Giordani F.T. Synchronism in population networks with non linear coupling. Nonlinear Analysis: Real World Applications. 2009;11(2):1005-1016. doi: 10.1016/j.nonrwa.2009.01.036
  17. Kulakov M. P., Frisman E. Y. Clustering and chimeras in the model of the spatial-temporal dynamics of agestructured populations. Russian Journal of Nonlinear Dynamics. 2018;14(1):13-31. doi: 10.20537/nd1801002
  18. Matvey Kulakov, Efim Ya. Frisman. Modeling the Spatio-Temporal Dynamics of a Population with Age Structure and Long-Range Interactions: Synchronization and Clustering. Mathematical Biology and Bioinformatics. 2019;14(1):1-18. doi: 10.17537/2019.14.1
  19. Kaneko K. Clustering, coding, switching, hierarchical, ordering, and control in network of chaotic elements. Physica D. 1990;41:137-172. doi: 10.1016/0167-2789(90)90119-A
  20. Popovych O., Pikovsky A., Maistrenko Yu. Cluster-splitting bifurcation in a system of coupled maps. Physica D. 2002;168:106-125. doi: 10.1016/S0167-2789(02)00499-2
  21. Nechaev V. A., Rybalova E. V., Strelkova G. I. Influence of parameters inhomogeneity on the existence of chimera states in a ring of nonlocally coupled maps. Izvestiya VUZ. Applied Nonlinear Dynamics. 2021;29(6):943-952. doi: 10.18500/0869-6632-2021-29-6-943-952
  22. Salmenkova E.A., Gordeeva N.V., Rubtsova G.A., Omel'chenko V.T., Romanov N.S., Radchenko O.A. Genetic Divergence of Chars of the Genus Salvelinus from Kronotsky Lake (Kamchatka Peninsula). Russ. J. Genet. 2005;41:897-906. doi: 10.1007/s11177-005-0178-6x
  23. Davis L.A., Roalson E.H., Cornell K.L., McClanahan K.D., Webster M.S. Genetic divergence and migration patterns in a North American passerine bird: implications for evolution and conservation. Molecular Ecology. 2006;15(8):2141-2152. doi: 10.1111/j.1365-294X.2006.02914.x
  24. Sato S., Urawa S. Genetic variation of Japanese pink salmon populations inferred from nucleotide sequence analysis of the mitochondrial DNA control region. Environmental biology of fishes. 2017;100:1355-1372. doi: 10.1007/s10641-017-0648-4
  25. Smith W.H., Wooten J.A., Camp C.D., Stevenson D.J., Jensen J.B., Turner M., Reed N.A. Genetic divergence correlates with the contemporary landscape in populations of Slimy Salamander (Plethodon glutinosus) species complex across the lower Piedmont and Coastal Plain of the southeastern United States. Canadian Journal of Zoology. 2018;96(11):1244-1254. doi: 10.1139/cjz-2018-0050
  26. Brinoccoli Y.F., de Queiroz L.J., Bogan S., Paracampo A., Posadas P.E., Somoza G.M., Montoya-Burgos J.I., Cardoso Y.P. Processes that drive the population structuring of Jenynsia lineata (Cyprinidontiformes, Anablepidae) in the La Plata Basin. Ecology and Evolution. 2021;11(11):6119-6132. doi: 10.1002/ece3.7427
  27. Orsini L., Corander J., Alasentie A., Hanski I. Genetic spatial structure in a butterfly metapopulation correlates better with past than present demographic structure. Molecular Ecology. 2008;17(11):2629-2642. doi: 10.1111/j.1365-294X.2008.03782.x
  28. Murphy M. A., Dezzani R., Pilliod D.S., Storfer A. Landscape genetics of high mountain frog metapopulations. Molecular Ecology. 2010;19(17):3634-3649. doi: 10.1016/bs.host.2018.06.006
  29. Altukhov Yu.P., Bemashevskaya A.G. Experimental modeling of gene frequency dynamics in a system of semi-isolated populations. Doklady Biological Sciences . 1978;238(3):712-714 (in Russ.).
  30. Altukhov Yu.P., Bernashevskaya A.G., Milishnikov A.N. Experimental modeling of genetic processes in the population system of Drosophila melanogaster corresponding to the ring step model. Soviet Genetics . 1979;15(4):646-655.(in Russ.).
  31. Altukhov Yu.P., Bemashevskaya A.G. Experimmental modelling of genetic processes in a population system of drosophila melanogaster corresponding to a circular stepping-stone model: 2. Stability of allelic composition and periodic relationship of allele frequency with distance. Soviet genetics. 1981;17(6):1052-1059.
  32. Dey S., Joshi A. Stability via asynchrony in Drosophila metapopulations with low migration rates. Science. 2006;312:434-436. doi: 10.1126/science.1125317
  33. Dey S., Joshi A. Chapter 7 - Two decades of drosophila population dynamics: modeling, experiments, and implications. In: Integrated Population Biology and Modeling, Part A. Eds. Arni S.R. Srinivasa Rao, C.R. Rao. Handbook of statistics. Elsevier, 2018. Vol. 39. P. 275-312. doi: 10.1016/bs.host.2018.06.006
  34. Keymer J.E., Galajda P., Muldoon C., Park S., Austin R.H. Bacterial metapopulations in nanofabricated landscapes. Proc. Natl. Acad. Sci. U.S.A. 2006;103(46):17290-17295. doi: 10.1073/pnas.0607971103
  35. Svirezhev Yu.M., Passekov V.P. Fundamentals of Mathematical Evolutionary Genetics. Dordrecht: Springer Netherlands, 1982. 512 p.
  36. Barton N.H. The effects of linkage and density-dependent regulation on gene flow. Heredity. 1986;57(3):415-426. doi: 10.1038/hdy.1986.142
  37. Lenormand T. Gene flow and the limits to natural selection. Trends in Ecology & Evolution. 2002;17(4):183-189. doi: 10.1016/S0169-5347(02)02497-7
  38. Fussmann G.F., Loreau M., Abrams P.A. Eco-evolutionary dynamics of communities and ecosystems. Functional Ecology. 2007;21:465-477. doi: 10.1111/j.1365-2435.2007.01275.x
  39. Burger R.A Survey of migration-selection models in population genetics. Discrete & Continuous Dynamical Systems B. 2014;19(4):883-959. doi: 10.3934/dcdsb.2014.19.883
  40. Neverova G.P., Zhdanova O.L., Frisman E.Y. Effects of natural selection by fertility on the evolution of the dynamic modes of population number: bistability and multistability. Nonlinear Dynamics. 2020;101:687-709. doi: 10.1007/s11071-020-05745-w
  41. Tellier A., Brown J.K.M. Stability of genetic polymorphism in host-parasite interactions. Proceedings of the Royal Society B. 2007;274:809-817. doi: 10.1098/rspb.2006.0281
  42. Revutskaya O., Neverova G., Zhdanova O., Frisman E. The evolutionary dynamics of a sex-structured population with non-overlapping generations. Mathematics. 2023;11(24):4971. doi: 10.3390/math11244971
  43. Carroll S.P., Hendry A.P., Reznick D.N., Fox C.W. Evolution on ecological time-scales. Functional Ecology. 2007;21:387-393. doi: 10.1111/j.1365-2435.2007.01289.x
  44. Pelletier F., Garant D., Hendry A.P. Eco-evolutionary dynamics. Philosophical Transactions of The Royal Society B. 2009;364(1523):1483-1489. doi: 10.1098/rstb.2009.0027
  45. Schoener T.W. The newest synthesis: understanding the interplay of evolutionary and ecological dynamics. Science. 2011;331(6016):426-429. doi: 10.1126/science.1193954
  46. Kulakov M.P., Frisman E.Y. Regional Problems. 2023;26(1):12-27 (in Russ.). doi: 10.31433/2618-9593-2023-26-1-12-27
  47. Kulakov M.P., Frisman E.Y. On primary genetic divergence in a system of populations in a ring area. Regional Problems. 2024;27(1):36-49. doi: 10.31433/2618-9593-2024-27-1-36-49
  48. Gaines M.S., McClenaghan Jr L.R., Rose R.K. Temporal patterns of allozymic variation in fluctuating populations of Microtus ochrogaster. Evolution. 1978;32(4):723-739. doi: 10.2307/2407488
  49. Gottlieb L.D. Genetic stability in a peripheral isolate of Stephanomeria exigua ssp. coronaria that fluctuates in population size. Genetics. 1974;76(3):551-556. doi: 10.1093/genetics/76.3.551
  50. Lande R., Shannon S. The role of genetic variation in adaptation and population persistence in a changing environment. Evolution. 1996;50(1):434-437. doi: 10.2307/2410812
  51. Hermisson J., Wagner G.P. The population genetic theory of hidden variation and genetic robustness. Genetics. 2004;78(2):320-335. doi: 10.2307/13828850
  52. Travis J., Leips J., Rodd F.H. Evolution in population parameters: density-dependent selection or density-dependent fitness? The American Naturalist. 2013;181(S1):S9-S20. doi: 10.1086/669970
  53. Golani D., Azzurro E., Corsini-Foka M., Falautano M., Andaloro F., Bernard G. Genetic bottlenecks and successful biological invasions: the case of a recent Lessepsian migrant. Biology Letters. 2007;3(5):541-545. doi: 10.1098/rsbl.2007.0308
  54. Broquet T., Angelone S., Jaquiery J., Joly P., Lena J.P., Lengagne T., Plenet S., Luquet E., Perrin N. Genetic bottlenecks driven by population disconnection. Conservation Biology. 2010;24(6):1596-1605. doi: 10.1111/j.1523-1739.2010.01556.x
  55. Uecker H., Otto S.P., Hermisson J. Evolutionary rescue in structured populations. The American Naturalist. 2014;183(1):E17-E35. doi: 10.1086/673914
  56. Sinclair A.R.E. Do large mammals disperse like small mammals? In: Animal Dispersal. Eds. Stenseth N.C., Lidicker W.Z. Dordrecht: Springer, 1992. P. 229-242. doi: 10.1007/978-94-011-2338-9_10
  57. Diffendorfer J.E., Gaines M.S., Holt R.D. Habitat fragmentation and movements of three small mammals (Sigmodon, Microtus, and Peromyscus). Ecology. 1995;76(3):827-839. doi: 10.2307/1939348
  58. Shchipanov N.A., Kuptsov A.V. Non-residence and its role in functioning of small mammal populations. Uspekhi sovremennoi biologii (Biology Bulletin Reviews). 2004;124(1):28-43 (in Russ.).
  59. Tolkachev O.V. The dispersal of the pygmy wood mouse (Sylvaemus Uralensis Pallas, 1811) and the bank vole (Clethrionomys Glareolus Schreber, 1780) in fragmented landscapes. Contemporary Problems of Ecology. 2016;9(1):116-124. doi: 10.1134/S1995425516010157
  60. Rutherford K.L., Cottenie K., Denomme-Brown S.T. To go or not to go: variable density-dependent dispersal in small mammals. Journal of Mammalogy. 2023;104(4):783-791. doi: 10.1093/jmammal/gyac117
  61. Matsumoto M., Nishimura T. Mersenne Twister: A 623-dimensionally equidistributed uniform pseudorandom number generator. ACM Transactions on Modeling and Computer Simulation. 1998;8(1):3-30. doi: 10.1145/272991.272995
  62. Galassi M., Davies J., Theiler J., Gough B., Jungman G. GNU Scientific Library Reference Manual. Godalming: Network Theory Limited, 2002. 601 p.
  63. Bukh A.V., Slepnev A.V., Anishchenko V.S., Vadivasova T.E. Stability and noise-induced transitions in an ensemble of nonlocally coupled chaotic maps. Regular and Chaotic Dynamics. 2018;23:325-338. doi: 10.1134/S1560354718030073
  64. Strelkova G.I., Anishchenko V.S. Spatio-temporal structures in ensembles of coupled chaotic systems. Phys. Usp. 2020;63:145-161. doi: 10.3367/UFNe.2019.01.038518
  65. Kulakov M.P., Revutskaya O.L. Regional Problems. 2011;14(2):12-20 (in Russ.).
  66. Kulakov M.P. Regional Problems. 2015;18(4):33-39 (in Russ.).
Table of Contents
Original Article
Matvey Kulakov, Efim Ya. Frisman Primary Genetic Divergence in a System of Limited Population Coupled By Migration in a Ring Habitat. Ìàthematical biology and bioinformatics. 2025;20(1):1-30. doi: 10.17537/2025.20.1
(published in Russian)

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

 
  Copyright IMPB RAS © 2005-2026