Instabilities on Prey Dynamics in Jellyfish Feeding

Bulletin of Mathematical Biology

Volumn 73, Issue 8, 2011, Pages 1841-1856

  Sapsis, Themistoklis ^a   Peng, Jifeng ^b   Haller, George ^c  

^a Massachusetts Institute of Technology   (United States)

^b University of Alaska Fairbanks   (United States)

^c MCGILL UNIVERSITY   (Canada)

Author keywords

Inertial Lagrangian coherent structures; Inertial particles; Prey inertia and self propulsion; Prey size instabilities; Reduced order dynamics

Indexed keywords

ANIMAL; ARTICLE; BIOLOGICAL MODEL; GROWTH, DEVELOPMENT AND AGING; JELLYFISH; PHYSIOLOGY; PLANKTON; POPULATION DYNAMICS; PREDATION; SYSTEMS THEORY;

ANIMALS; MODELS, BIOLOGICAL; PLANKTON; POPULATION DYNAMICS; PREDATORY BEHAVIOR; SCYPHOZOA; SYSTEMS THEORY;

SCYPHOZOA;

EID: 79959585474     PISSN: 00928240     EISSN: 15229602     Source Type: Journal    
DOI: 10.1007/s11538-010-9594-4     Document Type: Article

References (28)

1. Babiano, A., Cartwright, J. H. E., Piro, O., & Provenzale, A. (2000). Dynamics of a small neutrally buoyant sphere in a fluid and targeting in Hamiltonian systems. Phys. Rev. Lett., 84, 5764.
2. Bailey, K. M., & Batty, R. S. (1983). A laboratory study of predation by Aurelia aurita on larval herring (Clupea harengus): experimental observations compared with model predictions. Mar. Biol., 72, 195-301.
3. Benczik, I. J., Toroczkai, Z., & Tél, T. (2002). Selective sensitivity of open chaotic flows on inertial tracer advection: catching particles with a stick. Phys. Rev. Lett., 89, 164501.
4. Colin, S. P., Costello, J. H., & Klos, E. (2003). In situ swimming and feeding behaviour of eight co-occurring hydromedusae. Mar. Ecol. Prog. Ser., 253, 305-309.
5. Costello, J. H., Colin, S. P., & Dabiri, J. O. (2008). Medusan morphospace: phylogenetic constraints, biomechanical solutions, and ecological consequences. Invertebr. Biol., 127, 265-290.
6. Franco, E., Pekarek, D. N., Peng, J., & Dabiri, J. O. (2007). Geometry of unsteady fluid transport during fluid structure interactions. J. Fluid Mech., 589, 125-145.
7. Haller, G. (2001). Distinguished material surfaces and coherent structures in 3D flid flows. Physica D, 149, 248-277.
8. Haller, G., & Sapsis, T. (2008). Where do inertial particles go in fluid flows? Physica D, 237, 573-583.
9. Haller, G., & Sapsis, T. (2009). Localized instability and attraction along invariant manifolds. doi: 10. 1137/08074324X.
10. Hansson, L. J., Moeslund, O., Kiorboe, T., & Riisgard, H. U. (2005). Clearance rates of jellyfish and their potential predation impact on zooplankton and fish larvae in a neritic ecosystem (Limfjorden, Denmark). Mar. Ecol. Prog. Ser., 304, 117-131.
11. Kawahara, M., Uye, S., Ohtsu, K., & Izumi, H. (2006). Unusual population explosion of the giant jellyfish Nemopilemia nomurai (Scyphozoa: Rhizostomeae) in East Asian waters. Mar. Ecol. Prog. Ser., 307, 161-173.
12. Lenz, P. H., & Hartline, D. K. (1999). Reaction times and force production during escape behavior of a calanoid copepod, Undinula vulgaris. Mar. Biol., 133, 249-258.
13. Madin, L. P. (1988). Feeding behavior of tentaculate predators: in situ observations and a conceptual model. Bull. Mar. Sci., 43, 413-429.
14. Matsakis, S., & Conover, R. J. (1991). Abundance and feeding of medusae and their potential impact as predators on other zooplankton in Bedford Basin (Nova Scotia, Canada) during spring. Can. J. Fish. Aquat. Sci., 48, 1419-1430.
15. Maxey, M., & Riley, J. (1983). Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids, 26, 883.
16. Peng, J., & Dabiri, J. O. (2009). Transport of inertial particles by Lagrangian Coherent Structures: application to predator-prey interaction in jellyfish feeding. J. Fluid Mech., 623, 75-84.
17. Purcell, J. E. (2005). Predation on zooplankton by large jellyfish, Aurelia labiata, Cyanea capillata and Aequorea aequorea, in Prince William Sound, Alaska. Mar. Ecol. Prog. Ser., 246, 137-152.
18. Purcell, J. E., & Decker, M. B. (2003). Effects of climate on relative predation by scyphomedusae and ctenophores on copepods in Chesapeake Bay during 1987-2000. Limnol. Oceanogr., 50, 376-387.
19. Purcell, J. E., & Grover, J. J. (1990). Predation and food limitation as causes of mortality in larval herring at a spawning ground in British Columbia. Mar. Ecol. Prog. Ser., 59, 55-61.
20. Purcell, J. E., & Mills, C. E. (1991). The correlation between nematocyst types and diets in pelagic Hydrozoa. In D. A. Hessinger & H. M. Lenhoff (Eds.), The biology of nematocysts (pp. 463-485). San Diego: Academic Press.
21. Purcell, J. E., Uye, S., & Lo, W. T. (2007). Anthropogenic causes of jellyfish blooms and their direct consequences for humans: a review. Mar. Ecol. Prog. Ser., 350, 153-174.
22. Sapsis, T., & Haller, G. (2009a). Inertial particle dynamics in a hurricane. J. Atmos. Sci., 66, 2481-2492.
23. Sapsis, T., & Haller, G. (2009b). Instabilities in the dynamics of neutrally buoyant particles. Phys. Fluids, 20, 017102.
24. Shadden, S. C., Dabiri, J. O., & Marsden, J. E. (2006). Lagrangian analysis of fluid transport in empirical vortex ring flows. Phys. Fluids, 18, 047105.
25. Sullivan, B. K., Garcia, J. R., & Klein-MacPhee, G. (1994). Prey selection by the scyphomedusan predator Aurelia aurita. Mar. Biol., 121, 335-341.
26. Tang, W., Chan, P. W., & Haller, G. (2010). Accurate extraction of LCS over finite domains, with application to flight safety analysis over Hong Kong International Airport. Chaos, 20, 017502.
27. Vilela, R. D., de Moura, A. P. S., & Grebogi, C. (2006). Finite-size effects on open chaotic advection. Phys. Rev. E, 73, 026302.
28. Waggett, R. J., & Buskey, E. J. (2007). Calanoid copepod escape behavior in response to a visual predator. Mar. Biol., 150, 599-607.