EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues Volume 20 (2025) Math. Model. Nat. Phenom., 20 (2025) 16 References
Open Access
Issue
Math. Model. Nat. Phenom.
Volume 20, 2025
Article Number 16
Number of page(s) 19
Section Population dynamics and epidemiology
DOI https://doi.org/10.1051/mmnp/2025014
Published online 24 June 2025
  1. B.A. Maurer, Untangling ecological complexity. The Macroscopic Perspective. The University of Chicago, Chicago (1999). [Google Scholar]
  2. P. Turchin, Complex population dynamics. A Theoretical/Empirical Synthesis. Princeton University, Princeton (2003). [Google Scholar]
  3. R.V. Sole and J. Bascompte, Self-organization in Complex Ecosystems. Princeton University, Princeton (2006). [Google Scholar]
  4. R. Arditi and L.R. Ginzburg, How species interact. Altering the Standard View of Trophic Ecology. Oxford University, New York (2012). [CrossRef] [Google Scholar]
  5. A.B. Medvinsky, B.V. Adamovich, A.V. Rusakov, D.A. Tikhonov, N.I. Nurieva and V.M. Tereshko, Population dynamics: mathematical modeling and reality. Biophysics 64 (2019) 956-977. [CrossRef] [Google Scholar]
  6. P. Yodzis, Diffuse effects in food webs. Ecology 81 (2000) 261-266. [CrossRef] [Google Scholar]
  7. G.F. Gause, The Struggle for Existence. Williams & Wilkins, Baltimore (1934). [Google Scholar]
  8. A.N. Kolmogoroff, Sulla teoria di Volterra della lotta per l'esistenza. Giornale Inst. Ital. Attuari 7 (1936) 74-80 (in Italian). [Google Scholar]
  9. A.N. Kolmogorov, Qualitative study of mathematical models of population dynamics. Probl. Kibernet. 25 (1972) 100-106 (in Russian). [Google Scholar]
  10. A. Majumder, D. Adak and N. Bairagi, Persistence and extinction of species in a disease-induced ecological system under environmental stochasticity. Phys. Rev. E 103 (2021) 032412. [Google Scholar]
  11. A. Majumder, D. Adak and N. Bairagi, Phytoplankton-zooplankton interaction under environmental stochasticity: survival, extinction and stability. Appl. Math. Model. 89 (2021) 1382-1404. [CrossRef] [MathSciNet] [Google Scholar]
  12. D. Pattanayak, A. Mishra, S.K. Dana and N. Bairagi, Bistability and tri-trophic food chain model: basin stability perspective. Chaos 31 (2021) 073124. [CrossRef] [PubMed] [Google Scholar]
  13. A.B. Medvinsky, N.I. Nurieva, B.V. Adamovich, N.P. Radchikova and A.V. Rusakov, Direct input of monitoring data into a mechanistic ecological model as a way to identify the phytoplankton growth-rate response to temperature variations. Sci. Rep. 13 (2023) 10124. [Google Scholar]
  14. A.V. Rusakov, B.V. Adamovich, N.I. Nurieva, R.Z. Kovalevskaya, T.M. Mikheyeva, N.P. Radchikova, H.A. Zhukava, Y.K. Veres, T.V. Zhukova and A.B. Medvinsky, Phase synchronization of chlorophyll and total phosphorus oscillations as an indicator of the transformation of a lake ecosystem. Sci. Rep. 12 (2022) 11979. [Google Scholar]
  15. T.L. Rogers, B.J. Johnson and S.B. Munch, Chaos is not rare in natural ecosystems. Nat. Ecol. Evol. 6 (2022) 1105-1111. [Google Scholar]
  16. T.L. Rogers, S.B. Munch, S.-i. Matsuzaki and C.C. Symons, Intermittent instability is widespread in plankton communities. Ecol. Lett. 26 (2023) 470-481. [CrossRef] [PubMed] [Google Scholar]
  17. M. Pagano and K. Gauvreau, Principles of Biostatistics. 2nd edn. CRC Press, Taylor & Francis Group, New York (2018). [Google Scholar]
  18. B. Efron and R.J. Tibshirani, An Introduction to the Bootstrap. Chapman and Hall, London (1993). [CrossRef] [Google Scholar]
  19. A.J. Lotka, Analytical note on certain rhythmic relations in organic systems. Proc. Natl. Acad. Sci. U.S.A. 6 (1920) 410-415. [Google Scholar]
  20. V. Volterra, Variazioni e fluttuazioni del numero d'individui in spacie animali conviventi. Mem. Reale Accad. Nazionale Lincei 2 (1926) 31-113 (in Italian). [Google Scholar]
  21. C.S. Holling, The functional response of predators to prey density and its role in mimicry and population regulation. Mem. Entomol. Soc. Canada 45 (1965) 5-60. [Google Scholar]
  22. V.S. Ivlev, Experimental Ecology of Feeding Fishes. Yale University, New Haven (1961). [Google Scholar]
  23. M.P. Hassell, The Dynamics of Arthropod Predator-Prey Systems. Princeton University, Princeton (1978). [Google Scholar]
  24. M.P. Hassell and G.C. Varley, New inductive population model for insect parasites and its bearing on biological control. Nature 223 (1969) 133-136. [Google Scholar]
  25. W.J. Sutherland, Aggregation and the "ideal free" distribution. J. Anim. Ecol. 52 (1983) 821-828. [CrossRef] [Google Scholar]
  26. R. Arditi and H.R. Akcakaya, Underestimation of mutual interference of predators. Oecologia 83 (1990) 358-361. [Google Scholar]
  27. J.R. Beddington, Mutual interference between parasites or predators and its effect on searching efficiency. J. Anim. Ecol. 44 (1975) 331-340. [CrossRef] [Google Scholar]
  28. D.L. DeAngelis, R.A. Goldstein and R.V. O'Neill, A model for trophic interaction. Ecology 56 (1975) 881-892. [CrossRef] [Google Scholar]
  29. L.R. Ginzburg, Y.I. Goldman and A.I. Railkin, Matematicheskaya model vzaimodeistviya dvukh populyaciy. Zh. Obshchey Biol. 32 (1971) 724-730 (in Russian). [Google Scholar]
  30. R. Arditi, J.M. Abillon and J. Viera da Silva, A predator-prey model with saturation and intraspecific competition. Ecol. Model. 5 (1978) 173-191. [CrossRef] [Google Scholar]
  31. R. Arditi and L.R. Ginzburg, Coupling in predator-prey dynamics: ratio-dependence. J. Theor. Biol. 139 (1989) 311-326. [CrossRef] [Google Scholar]
  32. A.D. Bazykin, F.S. Berezovskaya, G.A. Denisov, G.A. and Yu. A. Kuznetsov, The influence of predator-prey saturation effect and competition among predators. Ecol. Model. 14 (1981) 39-57. [CrossRef] [Google Scholar]
  33. P.H. Crowley, and E.K. Martin, Functional responses and interference with and between year classes of a dragonfly population. J. North Am. Benthol. Soc. 8 (1989) 211-221. [CrossRef] [Google Scholar]
  34. J.K. Tran, A predator-prey functional responses incorporating indirect interference and depletion. Verhand. Int. Verein Limnol. 30 (2008) 302-305. [Google Scholar]
  35. Yu.V. Tyutyunov, L. Titova and R. Arditi, Predator interference emerging from trophotaxis in predator-prey systems: An individual-based approach. Ecol. Complex. 5 (2008) 48-58. [CrossRef] [Google Scholar]
  36. Yu.V. Tyutyunov, L.I. Titova, F.A. Surkov and E.N. Bakaeva, Trophic function of phytophagous rotifers (Rotatoria). Experiment and modelling. Zh. Obshchey Biol. 71 (2010) 52-62 (in Russian). [Google Scholar]
  37. M. Steffen and T. Bartz-Beielstein, Time series missing data imputation in R. R J. 9/1 (2017) 207-218. [Google Scholar]
  38. R Core Team, Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna (2018). [Google Scholar]
  39. R.L. Lindeman, The trophic-dynamic aspect of ecology. Ecology 23 (1942) 399-417. [CrossRef] [Google Scholar]
  40. G.G. Winberg, G.A. Pechen and E.A. Shushkina, Production of plankton crustaceans in three lakes of different types. Zool. Zh. 44 (1965) 676-687 (in Russian). [Google Scholar]
  41. A.B. Medvinsky, B.V. Adamovich, A. Chakraborty, E.V. Lukyanova, T.M. Mikheyeva, N.I. Nurieva, N.P. Radchikova, A.V. Rusakov and T.V. Zhukova, Chaos far away from the edge of chaos. A recurrence quantification analysis of plankton time series. Ecol. Compl. 23 (2015) 61-67. [CrossRef] [Google Scholar]
  42. B.V. Adamovich, T.V. Zhukova, T.M. Mikheyeva, R.Z. Kovalevskaya, T.A. Makarevich and A.A. Zhukova, Eutrophication, oligotrophication, and benthification in Naroch Lakes: 40 years of monitoring. J. Siber. Fed. Univ. Biol. 10 (2017) 379-394 (in Russian). [CrossRef] [Google Scholar]
  43. Yu.V. Tyutyunov and L.I. Titova, From Lotka-Volterra to Arditi-Ginzburg: 90 years of evolving trophic functions.Zh. Obshchey Biol. 79 (2018) 428-448 (in Russian). [Google Scholar]
  44. M. Begon, J.L. Harper and C.R. Townsend, Ecology: Individuals, Populations and Communities. Blackwell Scientific Publications, Oxford (1986). [Google Scholar]
  45. R. Arditi and L.R. Ginzburg, Improving communications between theoretical ecologists, mathematical ecologists, and ecological modelers: response to the critique of our book How species interact. Theor. Ecol. 7 (2014) 21-22. [Google Scholar]
  46. L.R. Ginzburg and J. Damuth, The issue isn't which model of consumer interference is right, but which one is least wrong. Front. Ecol. Evol. 10 (2022) 860542. [CrossRef] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.