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. Turchin P. Rarity of density dependence or population regulation with lags? Nature. 1990;344:660–663. doi: 10.1038/344660a0
  2. Turchin P. Complex Population Dynamics: A Theoretical/Empirical Synthesis. Princeton: Princeton University Press, 2003.
  3. Kendall B.E., Briggs C.J., Murdoch W.W., Turchin P., Ellner S.P., McCauley E., Nisbet R.M., Wood S.N. Why do population cycle? A synthesis of statistical and mechanistic modeling approaches. Ecology. 1999;80:1789–1805. doi: 10.1890/0012-9658(1999)080[1789:WDPCAS]2.0.CO;2
  4. Nedorezov L.V., Sadykova D.L. Dynamics of larch bud moth populations: application of Moran - Ricker models with time lag. Ecological Modelling. 2015;297:26–32. doi: 10.1016/j.ecolmodel.2014.11.003
  5. Neverova G.P., Yarovenko I.P., Frisman E.Y. Dynamics of populations with delayed density dependent birth rate regulation. Ecological Modelling. 2016;340(24):64–73. doi: 10.1016/j.ecolmodel.2016.09.005
  6. Isaev A.S., Khlebopros R.G., Nedorezov L.V., Kiselev V.V., Kondakov Iu.P., Sukhovol'skii V.G. Populiatsionnaia dinamika lesnykh nasekomykh (Population dynamics of forest insects). Moscow, 2001. 347 p. (in Russ.).
  7. Skaletskaia E.I., Frisman E.Ia., Shapiro A.P. Diskretnye modeli dinamiki chislennosti populiatsii i optimizatsiia promysla (Discrete models of population dynamics and fishery optimization). Moscow, 1979. P. 165 (in Russ.).
  8. Perevarukha A.U. Transition to robust chaotic mode as a result of single bifurcation in the new model of population dynamic. Bulletin of Udmurt University. Mathematics, Mechanics, Computer Science. 2010;2:117–126 (in Russ.). doi: 10.20537/vm100211
  9. Shlufman K.V., Fishman B.E., Frisman E.Y. Features of modes for one-dimensional model of ricker. Izvestiya VUZ. Applied Nonlinear Dynamics. 2012;20(2):12–28 (in Russ.). doi: 10.18500/0869-6632-2012-20-2-12-28
  10. Bashkirtseva I.A. Analysis of stochastically forced equilibria and noise-induced transitions in nonlinear discrete systems. Computer Research and Modeling. 2013;5(4):559–571 (in Russ.). doi: 10.20537/2076-7633-2013-5-4-559-571
  11. Neverova G.P., Frisman E.Ya. Dynamic Regimes of Local Homogeneous Population with Delayed Density Dependence. Ìàthematical Biology and Bioinformatics. 2015;10(2):309–324. doi: 10.17537/2015.10.309
  12. Neverova G.P., Frisman E.Y. Analysis and Forecast of the Zeiraphera griseana Dynamics Using the Delayed Moran-Ricker Model: the Impact of the Training Sample on Forecast Quality. Lesovedenie. 2023;2:190–200. doi: 10.31857/S0024114823020055
  13. Neverova G.P., Yarovenko I.P., Frisman E.Y. Dynamics of populations with delayed density dependent birth rate regulation. Ecological Modelling. 2016;340:64–73. doi: 10.1016/j.ecolmodel.2016.09.005
  14. Suhovol'skii V.G., Kovalev A.V., Palnikova E.N., Tarasova O.V. Modelling the risk of insect impacts on forest stands after possible climate changes. Computer Research and Modeling. 2016;8(2):241–253 (in Russ.). doi: 10.20537/2076-7633-2016-8-2-241-253
  15. Dent D., Binks R.H. Insect Pest Management. Cabi, 2020. doi: 10.1079/9781789241051.0000
  16. Tobin P.C., Berec L., Liebhold A.M. Exploiting Allee effects for managing biological invasions. Ecology Letters. 2011;14(6):615–624. doi: 10.1111/j.1461-0248.2011.01614.x
  17. Brockerhoff E.G., Liebhold A.M. Ecology of forest insect invasions. Biological Invasions. 2017;19:3141–3159. doi: 10.1007/s10530-017-1514-1
  18. Frolov A.N. Vestnik Zashchity Rasteniy (Plant Protection News). 2017;4(94):5–21 (in Russ.).
  19. Frolov A.N. Vestnik Zashchity Rasteniy (Plant Protection News). 2019;3(101):4–33.(in Russ.).
  20. Witzgall P., Kirsch P., Cork A. Sex pheromones and their impact on pest management. Journal of Chemical Ecology. 2010;36:80–100. doi: 10.1007/s10886-009-9737-y
  21. Vinogradov D.D., Tiunov A.V., Sinev A.Y. Predators as control agents of mosquito larvae in micro-reservoirs (Review). Inland Water Biology. 2022;15(1):39–53. doi: 10.1134/S1995082922010138
  22. Rafikov M., Balthazar J.M., von Bremen H.F. Mathematical modeling and control of population systems: applications in biological pest control. Applied Mathematics and Computation. 2008;200(2):557–573. doi: 10.1016/j.amc.2007.11.036
  23. Elkinton J.S., Healy W.M., Buonaccorsi J.P., Boetner G.H., Hazzard A.M., Smith H.R., Liebhold A.M. Interactions among gypsy moths, white-footed mice, and acorns. Ecology. 1996;77:2332–2342. doi: 10.2307/2265735
  24. Hajek A.E., Tobin P.C. Micro-managing arthropod invasions: eradication and control of invasive arthropods with microbes. Biological Invasions. 2010;12:2895–2912. doi: 10.1007/s10530-010-9735-6
  25. Soukhovolsky V.G. Models of critical events in forest insect populations as a first-order phase transition. Siberian Journal of Forest Science. 2021;5:26–36 (in Russ.). doi: 10.15372/SJFS20210504
  26. Soukhovolsky V., Kovalev A., Ivanova Y., Tarasova O. Autoregression, First Order Phase Transition, and Stochastic Resonance: A Comparison of Three Models for Forest Insect Outbreaks. Mathematics. 2023;11(19):4212. doi: 10.3390/math11194212
  27. Isaev A.S., Khlebopros R.G., Nedorezov L.V., Kiselev V.V., Kondakov Iu.P., Sukhovol'skii V.G. Populiatsionnaia dinamika lesnykh nasekomykh (Population dynamics of forest insects). Moscow, 2001. 347 p. (in Russ.).
  28. Soukhovolsky V.G., Ponomarev V.I., Sokolov G.I., Tarasova O.V., Krasnoperova P.A. Gypsy moth Lymantria dispar L. in the South Urals: Patterns in population dynamics and modelling. Zhurnal Obshchey Biologii. 2015;76(3):179–194 (in Russ.).
  29. Soukhovolsky V.G., Tarasova O.V. Long-term dynamics of forest insect populations in krasnoturanskiy pine forest. Siberian Journal of Forest Science. 2024;3:110–122 (in Russ.). doi: 10.15372/SJFS20240311
  30. Nedorezov L.V. Influence of Food Plant Quality and Parasitism on the Cyclic Fluctuations of Larch Bud Moth. Euroasian Entomological Journal. 2007;6(2):229–244 (in Russ.).
  31. Costantino R.F., Cushing J.M., Dennis B., Desharnais R.A. Experimentally induced transitions in the dynamic behavior of insect populations. Nature. 1995;375:227–230. doi: 10.1038/375227a0
  32. Logan J.A., White P., Bentz B.J., Powell J.A. Model analysis of the temporal evolution of spatial patterns in mountain pine beetle outbreaks. Theor. Popul. Biol. 1998;53:236–255. doi: 10.1006/tpbi.1997.1350
  33. Rossini L., Bruzzone O.A., Speranza S., Delfino I. Estimation and analysis of insect population dynamics parameters via physiologically based models and hybrid genetic algorithm MCMC methods. Ecological Informatics. 2023;77:102232. doi: 10.1016/j.ecoinf.2023.102232
  34. Cavalieri L.F., Koçak H. Intermittent transition between order and chaos in an insect pest population. Journal of Theoretical Biology. 1995;175(2):231–234. doi: 10.1006/jtbi.1995.0135
  35. Moran P.A.P. Some remarks on animal population dynamics. Biometrics. 1950;6(3):250–258. doi: 10.2307/3001822
  36. Ricker W.E. Stock and recruitment. J. Fish. Res. board of Canada. 1954;11(5):559–623. doi: 10.1139/f54-039
  37. Revutskaya O.L., Frisman E.Y. Harvesting impact on population dynamics with age and sex structure: optimal harvesting and the hydra effect. Computer Research and Modeling. 2022;14(5):1107–1130. doi: 10.20537/2076-7633-2022-14-5-1107-1130
  38. Zipkin E.F., Kraft C.E., Cooch E.G., Sullivan P.J. When can efforts to control nuisance and invasive species backfire? Ecological Applications. 2009;19(6):1585–1595. doi: 10.1890/08-1467.1
  39. Abrams P.A., Matsuda H. The effect of adaptive change in prey on the dynamics of an exploited predator population. Canadian Journal of Fisheries and Aquatic Sciences. 2005;62:758–766. doi: 10.1139/f05-051
  40. Abrams P.A. When does greater mortality increase population size? The long history and diverse mechanisms underlying the hydra effect. Ecol. Lett. 2009;12:462–474. doi: 10.1111/j.1461-0248.2009.01282.x
  41. Liz E., Ruiz-Herrera A. The hydra effect, bubbles, and chaos in a simple discrete population model with constant effort harvesting. Journal of Mathematical Biology. 2012;65(5):997–1016. doi: 10.1007/s00285-011-0489-2
  42. Hilker F.M., Liz E. Harvesting, Census timing and «hidden» hydra effects. Ecological Complexity. 2013;14:95–107. doi: 10.1016/j.ecocom.2013.02.002
  43. Schröder A., van Leeuwen A., Cameron T.C. When less is more: Positive population level effects of mortality. Trends Ecol. Evol. 2014;29:614–624. doi: 10.1016/j.tree.2014.08.006
  44. Liz E., Sovrano E. Stability, bifurcations and hydra effects in a stage-structured population model with threshold harvesting. Communications in Nonlinear Science and Numerical Simulation. 2022;109:106280. doi: 10.1016/j.cnsns.2022.106280
  45. Grosholz E., Ashton G., Bradley M., Brown C., Ceballos-Osuna L., Chang A., de Rivera C., Gonzalez J., Heineke M., Marraffini M., McCann L., Pollard E., Pritchard I., Ruiz G, Turner B., Tepolt C. Stage-specific overcompensation, the hydra effect, and the failure to eradicate an invasive predator. PNAS. 2021;118(12). Article No. e2003955118. doi: 10.1073/pnas.2003955118
  46. Shapiro A.P., Luppov S.P. Rekurrentnye uravneniia v teorii populiatsionnoi biologii (Recurrence equations in the theory of population biology). Moscow, 1983. (in Russ.).
  47. Frisman E.Ya., Neverova G.P., Kulakov M.P., Zhigalskii O.A. Changing the Dynamic Modes in Populations with Short Life Cycle: Mathematical Modeling and Simulation. Ìàthematical Biology and Bioinformatics. 2014;9(2):414–429. doi: 10.17537/2014.9.414
  48. Kuznetsov A. P., Sedova Y. V. Bifurcations of three­ and four­dimensional maps: universal properties. Izvestiya VUZ. Applied Nonlinear Dynamics. 2012;20(5):26–43. doi: 10.18500/0869-6632-2012-20-5-26-43
  49. Kalitkin N.N. Chislennyye metody (Numerical methods). Moscow, 1978. 501 p. (in Russ.).
  50. Kuznetsov A.P., Savin A.V., Sedova Iu.V., Tiuriukina L.V. Bifurkatsii otobrazhenii (Bifurcations of mappings). Saratov, 2012. P. 196 (in Russ.).
  51. Sadykova D.L., Nedorezov L.V. Larch bud moth dynamics: can we explain periodicity of population fluctuations by the time lag dependence in birth rate? Population Dynamics: Analysis, Modelling, Forecast. 2013;2(4):154–181.
  52. Nedorezov L.V., Sadykova D.L. Dynamics of larch bud moth populations: application of Moran - Ricker models with time lag. Ecological Modelling. 2015;297:26–32. doi: 10.1016/j.ecolmodel.2014.11.003
  53. Baltensweiler W., Rubli D. Dispersal: an important driving force of the cyclic population dynamics of the larch bud moth. Forest Snow Landscape Res. 1999;74:3–153.
  54. Esper J., Büntgen U., Frank D.C., Nievergelt D., Liebhold A. 1200 years of regular outbreaks in alpine insects. Proceedings of the Royal Society B: Biological Sciences. 2007;274(1610):671–679. doi: 10.1098/rspb.2006.0191
  55. Johnson B.J., Gomez M.M., Stephan B. Munch Empirical dynamic modeling for prediction and control of pest populations. Ecological Modelling. 2025;504:111081. doi: 10.1016/j.ecolmodel.2025.111081
  56. Isaev A.S., Khlebopros R.G. Doklady AN SSSR (Doklady akademii nauk SSSR). 1973;208(1):225–228 (in Russ.).
  57. Isaev A.S.1, Palnikova E.N.2, Sukhovolsky V.G.3, Tarasova O.V. Population dynamics of defoliating forest insects: models and forecasts. Moscow: KMK Scientific Press, 2015 (in Russ.).
  58. Isaev A.S., Soukhovolsky V.G., Tarasova O.V., Palnikova E.N., Kovalev A.V. Forest insect population dynamics, outbreaks and global warming effects. New York: Wiley, 2017. P. 304. doi: 10.1002/9781119407508
Table of Contents
Original Article
Ganzha K.A., Neverova G.P. The Moran-Ricker Model with Time Delay: Managing Population Dynamics in Species with Non-Overlapping Generations. Ìàthematical biology and bioinformatics. 2025;20(1):147-165. doi: 10.17537/2025.20.147
(published in Russian)

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

 
  Copyright IMPB RAS © 2005-2026