Список литературы
- May R.M. Biological populations with nonoverlapping generations: stable points, stable cycles, and chaos. Science. 1974;186(4164):645–647. doi: 10.1126/science.186.4164.645
- Hassel M.P. The dynamics of arthropod predator-prey systems. Princeton: Princeton University Press, 1978.
- Anderson R.M., May R.M. Population biology of infectious diseases: Part I. Nature. 1979;280:361–367. doi: 10.1038/280361a0
- Turchin P. Complex population dynamics: a theoretical/empirical synthesis. Princeton: Princeton University Press, 2003.
- Freedman H.I., Waltman P. Persistence in models of three interacting predator-prey populations. Math. Bioscience. 1984;68(2):213–231. doi: 10.1016/0025-5564(84)90032-4
- Hastings A., Powell T. Chaos in a three–species food chain. Ecology. 1991;72(3):896–903. doi: 10.2307/1940591
- Hsu S.B., Hubbell S.P., Waltman P. A contribution to the theory of competing predators. Ecol. Monography. 1978;48(3):337–349. doi: 10.2307/2937235
- Krikorian N. The Volterra model for three species predator–prey systems: boundedness and stability. J. Math. Biol. 1979;7(2):117–132. doi: 10.1007/BF00276925
- Bazykin A.D. Mathematical biophysics of interacting populations. Moscow: Nauka, 1985 (in Russ.).
- Sze-Bi Hsu, Shigui Ruan, Ting-Hui Yang. Analysis of three species Lotka–Volterra food web models with omnivory. Journal of Mathematical Analysis and Applications. 2015;426(2):659–687. doi: 10.1016/j.jmaa.2015.01.035
- Holt R.D., Polis G.A. A Theoretical Framework for Intraguild Predation. American Naturalist. 1997;149:745–764. doi: 10.1086/286018
- Namba T., Tanabe K. Omnivory and stability of food webs. Ecological Complexity. 2008;5:73–85. doi: 10.1016/j.ecocom.2008.02.001
- Kang Y., Wedekin L. Dynamics of a intraguild predation model with generalist or specialist predator. Journal of Mathematical Biology. 2013;67(5):1227–1259. doi: 10.1007/s00285-012-0584-z
- Tanabe K., Namba T. Omnivory Creates Chaos in Simple Food Web Models. Ecology. 2005;86(12):3411–3414. doi: 10.1890/05-0720
- Abrams P., Fung S.R. Prey persistence and abundance in systems with intraguild predation and type-2 functional responses. Journal of Theoretical Biology. 2010;264(3):1033–1042. doi: 10.1016/j.jtbi.2010.02.045
- Kuijper L.D.J., Kooi B.W., Zonneveld C., Kooijman S.A.L.M. Omnivory and food web dynamics. Ecological Modelling. 2003;163:19–32. doi: 10.1016/S0304-3800(02)00351-4
- Křivan V., Diehl S. Adaptive omnivory and species coexistence in tri-trophic food webs. Theor. Popul. Biol. 2005;67:85–99. doi: 10.1016/j.tpb.2004.09.003
- Vandermeer J. Omnivory and the stability of food webs. Journal of Theoretical Biology. 2006;238:497–504. doi: 10.1016/j.jtbi.2005.06.006
- Zhang Guohong, Wang Xiaoli. Extinction and coexistence of species for a diffusive intraguild predation model with B-D functional response. Discrete and Continuous Dynamical Systems – B. 2018;23(9):3755–3786. doi: 10.3934/dcdsb.2018076
- Sentis A., Hemptinne J. L., Brodeur J. How functional response and productivity modulate intraguild predation. Ecosphere. 2013;4(4):46. doi: 10.1890/ES12-00379.1
- Holling C.S. The functional response of predators to prey density and its role in mimicry and population regulation. Mem. Entomol. Soc. Can. 1965;45:5–60. doi: 10.4039/entm9745fv
- Sen D., Ghorai S., Banerjee M. Complex dynamics of a three species prey-predator model with intraguild predation. Ecological Complexity. 2018;34:9–22. doi: 10.1016/j.ecocom.2018.02.002
- Křivan V., Eisner J. The effect of the Holling type II functional response on apparent competition. Theoretical Population Biology. 2006;70(4):421–430. doi: 10.1016/j.tpb.2006.07.004
- Mylius S.D., Klumpers K., de Roos A.M., Persson L. Impact of intraguild predation and stage structure on simple communities along a productivity gradient. American Naturalist. 2001;158(3):259–276. doi: 10.1086/321321
- Castillo-Santos F.E., Rosa M.A.D., Loreto-Hernández I. Existence of a Limit Cycle in an Intraguild Food Web Model with Holling Type II and Logistic Growth for the Common Prey. Applied Mathematics. 2017;8:358–376. doi: 10.4236/am.2017.83030
- Denman K.L., Pena M.A. The response of two coupled one-dimensional mixed layer/planktonic ecosystem models to climate change in the NE subarctic Pacific Ocean. Deep Sea Research Part II: Topical Studies in Oceanography. 2002;49(24–25):5739–5757. doi: 10.1016/S0967-0645(02)00212-6
- Morozov A., Arashkevich E., Nikishina A., Solovyev K. Nutrient-rich plankton community stabilized via predator-prey interactions: revisiting the role of vertical heterogeneity. Math. Med. Biol. 2011;28:185–215. doi: 10.1093/imammb/dqq010
- Edwards A.M., Brindley J. Zooplankton mortality and the dynamical behaviour of plankton population models. Bull. Math. Biol. 1999;61:303–339. doi: 10.1006/bulm.1998.0082
- Kiørboe T. A Mechanistic Approach to Plankton Ecology. Princeton: Princeton University Press, 2008. doi: 10.1515/9780691190310
- Saiz E., Calbet A. Copepod feeding in the ocean: scaling patterns, composition of their diet and the bias of estimates due to microzooplankton grazing during incubations. Hydrobiologia. 2011;666(1):181–196. doi: 10.1007/s10750-010-0421-6
- Franks P.J.S. Phytoplankton blooms in a fluctuating environment: the roles of plankton response time scales and grazing. J. Plankton Res. 2001;23:1433–1441. doi: 10.1093/plankt/23.12.1433
- Hansen B., Tande K.S., Berggreen U.C. On the trophic fate of Phaeocystis pouchetii (Hariot). III. Functional responses in grazing demonstrated on juvenile stages of Calanus finmarchicus (Copepoda) fed diatoms and Phaeocystis. J. Plankton Res. 1990;12:1173–1187. doi: 10.1093/plankt/12.6.1173
- Hall R.J. Intraguild Predation in the Presence of a Shared Natural Enemy. Ecology. 2011;92(2):352–361. doi: 10.1890/09-2314.1
- Hickerson C.M. Edge effects and intraguild predation in native and introduced centipedes: evidence from the field and from laboratory microcosms. Oecologia. 2005;146(1):110–119. doi: 10.1007/s00442-005-0197-y
- Diehl S., Feissel M. Effects of enrichment on three-level food chains with omnivory. Am. Nat. 2000;155:200–218. doi: 10.1086/303319
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