Noise-triggered regime shifts in a simple aquatic model

Ecological Complexity

Volumn 6, Issue 3, 2009, Pages 375-382

  Serizawa, Hiroshi ^a   Amemiya, Takashi ^a   Itoh, Kiminori ^a  

^a YOKOHAMA NATIONAL UNIVERSITY   (Japan)

Author keywords

Bistability; Fluctuation; Hysteresis; Noise; Reaction diffusion equations; Regime shift

Indexed keywords

EID: 67651119990     PISSN: 1476945X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecocom.2009.03.002     Document Type: Article

References (26)

1. Abraham E.R. The generation of plankton patchiness by turbulent stirring. Nature 391 (1998) 577-580
2. Ai B.-Q., Zheng H., and Liu L.-G. Correlated noises in an absorptive optical bistable model. Eur. Phys. J. B 51 3 (2006) 373-376
3. Dubkov A.A., and Spagnolo B. Verhulst model with Lévy white noise excitation. Eur. Phys. J. B 65 3 (2008) 361-367
4. Guttal V., and Jayaprakash C. Impact of noise on bistable ecological systems. Ecol. Model. 201 (2007) 420-428
5. Holling C.S. Resilience and stability of ecological systems. Annu. Rev. Ecol. Syst. 4 (1973) 1-23
6. Ibelings B.W., Portielje R., Lammens E.H.R.R., Noordhuis R., van den Berg M.S., Joosse W., and Meijer M.L. Resilience of alternative stable states during the recovery of shallow lakes from eutrophication: Lake Veluwe as a case study. Ecosystems 10 (2007) 4-16
7. Liu Q.-X., Jin Z., and Li B.-L. Resonance and frequency-locking phenomena in spatially extended phytoplankton-zooplankton system with additive noise and periodic forces. J. Stat. Mech. (2008) 10.1088/1742-5468/2008/05/P05011
8. Malchow H., Hilker F.M., and Petrovskii S.V. Noise and productivity dependence of spatiotemporal pattern formation in a prey-predator system. Discrete Cont. Dyn.-B 4 3 (2004) 705-711
9. Mankin R., Laas T., Soika E., and Ainsaar A. Noise-controlled slow-fast oscillations in predator-prey models with the Beddington functional response. Eur. Phys. J. B 59 2 (2007) 259-269
10. Medvinsky A.B., Petrovskii S.V., Tikhonova I.A., Malchow H., and Li B.-L. Spatiotemporal complexity of plankton and fish dynamics. SIAM Rev. 44 3 (2002) 311-370
11. Morozov A., Ruan S., and Li B.-L. Patterns of patchy spread in multi-species reaction-diffusion models. Ecol. Complex. 5 (2008) 313-328
12. Naess A., Dimentberg M.F., and Gaidai O. Lotka-Volterra systems in environments with randomly disordered temporal periodicity. Phys. Rev. E 78 2 (2008) 021126
13. Petrovskii S.V., Li B.-L., and Malchow H. Transition to spatiotemporal chaos can resolve the paradox of enrichment. Ecol. Complex. 1 (2004) 37-47
14. Provata A., Sokolov I.M., and Spagnolo B. Editorial: ecological complex systems. Eur. Phys. J. B 65 3 (2008) 307-314
15. Rai R., and Singh H. Stochastic resonance without an external periodic drive in a simple prey-predator model. Phys. Rev. E 62 6 (2000) 8804
16. Rietkerk M., Boerlijst M.C., van Langevelde F., HilleRisLambers R., van de Koppel J., Kumar L., Prins H.H.T., and de Roos A.M. Self-organization of vegetation in arid ecosystems. Am. Nat. 160 4 (2002) 524-530
17. Sarkar R.R., and Malchow H. Nutrients and toxin producing phytoplankton control algal blooms - a spatio-temporal study in a noisy environment. J. Biosci. 30 5 (2005) 749-760
18. Scheffer M. Fish and nutrients interplay determines algal biomass: a minimal model. Oikos 62 3 (1991) 271-282
19. Scheffer M., Carpenter S.R., Foley J.A., Folke C., and Walker B. Catastrophic shifts in ecosystems. Nature 413 (2001) 591-596
20. Scheffer M., and Carpenter S.R. Catastrophic regime shifts in ecosystems: linking theory to observation. Trends Ecol. Evol. 18 12 (2003) 648-656
21. Serizawa H., Amemiya T., and Itoh K. Patchiness in a minimal nutrient-phytoplankton model. J. Biosci. 33 3 (2008) 391-403
22. Sieber M., Malchow H., and Schimansky-Geier L. Constructive effects of environmental noise in an excitable prey-predator plankton system with infected prey. Ecol. Complex. 4 4 (2007) 223-233
23. Spagnolo B., Fiasconaro A., and Valenti D. Noise induced phenomena in Lotka-Volterra systems. Fluct. Noise. Lett. 3 2 (2003) 177-185
24. Spagnolo B., Valenti D., and Fiasconaro A. Noise in ecosystems: a short review. Math. Biosci. Eng. 1 1 (2004) 185-211
25. van Nes E.H., and Scheffer M. Implications of spatial heterogeneity for catastrophic regime shifts in ecosystems. Ecology 86 7 (2005) 1797-1807
26. von Hardenberg J., Meron E., Shachak M., and Zarmi Y. Diversity of vegetation patterns and desertification. Phys. Rev. Lett. 87 19 (2001) 198101