Toxin-allelopathy among phytoplankton species prevents competitive exclusion

Journal of Biological Systems

Volumn 15, Issue 1, 2007, Pages 73-93

  Roy, Shovonlal ^a   Chattopadhyay, Joydev ^a  

^a INDIAN STATISTICAL INSTITUTE   (India)

Author keywords

Allelopathy; Co existence; Competitive Exclusion; Paradox of Plankton; Phytoplankton; Toxin

Indexed keywords

EID: 33847394571     PISSN: 02183390     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021833900700209X     Document Type: Article

References (48)

1. Hardin G, The competitive exclusion principle, Science 131:1292-1298, 1960.
2. Tilman D, Resource competition between planktonic algae: An experimental and theoritical approach, Ecology 58:338-348, 1977.
3. Tilman D, Test of resource competition theory using four species of Lake Michigan algae, Ecology 62:802-815, 1981.
4. Sommer U, Comparison between steady state and non-steady state competition: experiments with natural phytoplankton, Limnol Oceanogr 30:335-346, 1985.
5. Sommer U, Nitrate- and silicate-competition among Antarctic phytoplankton, Mar Biol 91:345-351, 1986.
6. Rothhaupt KO, Mechanistic resource competition theory applied to laboratory experiments with zooplankton, Nature 333:660-662, 1988.
7. Rothhaupt KO, Laboratory experiments with a mixotrophic and phototrophic competitors, Ecology 77:716-724, 1996.
8. Scheffer M, Rinaldi S, Mur Gragnani LR van Nes EH, On the dominance of filamentous cyanobacteria in shallow, turbid lakes, Ecology 78:272-282, 1997.
9. Huisman J, Weissing FJ, Biodiversity of plankton by species oscillation and chaos, Nature 402:407-410, 1999.
10. Stewart FM, Levin BR, Resource partition and the outcome of interspecific competition: a model and some general considerations, Am Nat 107:171-198, 1973.
11. Levins R, Co-Existence in a variable environment, Am Nat 114:765-783, 1979.
12. Armstrong RA, McGehee R, Competitive exclusion, Am Nat 115:151-170, 1980.
13. Levin SA, Community equilibrium and stability, and an extension of the competitive exclusion principle, Am Nat 104:413-423, 1970.
14. Levin BR, Stewart FM, Chao L, Resource-limited growth, competition and predation: a model and experimental studies with bacteria and bacteriophage, Am Nat 111:3-24, 1977.
15. Vance RR, The stable co-existence of two competitors for one resource, Am Nat 126:72-86, 1985.
16. Lenski RE, Hattingh SE, Co-Existence of two competitors on one resource and one inhibitor: a chemostat model based on bacteria and antibiotics, J Theor Biol 122:83-93, 1986.
17. Hutchinson GE, The paradox of the plankton, Ame. Natu. 95:137-145, 1961.
18. Richerson PJ, Armstrong R, Goldman CR, Contemporaneous disequilibrium: a new hypothesis to explain the paradox of plankton, Proc Natl Acad Sci USA 67:1710-1714, 1970.
19. Hallam T, Clark C, Jordan G, Effects of toxicants on populations: a qualitative approach II First order kinetics, J Math Biol 18:25-37, 1983.
20. Arzul G, Seguel M, Guzman L, Denn EE-L, Comparison of allelopathic properties in three toxic alexandrium species, J Exp Mar Biol Ecol 232(C11):285-295, 1999.
21. Chan A, Andersen R, Blanc ML, Harrison P, Algal planting as a tool for investigating allelopathy among marine microalgae, Mar Biol 84:287-291, 1980.
22. Nielsen TG, Kiørboe, T and Bjørnsen, PK, Effects of a Chrysochromulina polylepis sub surface bloom on the plankton community, Mar Ecol Progr Ser 62:21-35, 1990.
23. Schmidt L, Hansen P, Allelopathy in the prymnesiophyte Chrysocromulina polylepis: effect of cell concentration, growth phase and pH, Mar Ecol Prog Ser 216:67-81, 2001.
24. Tillmann U, John U, Toxic effects of alexandrium spp on heterotrophic dinoflagellates: an allelochemical defence mechanism independent of psp-toxin content, Mar Ecol-Prog Ser 230:47-58, 2002.
25. Fistarol G, Legrand C, Graneli E, Allelopathic effect of primnesium parvum on a natural plankton community, Mar Ecol-Prog Ser 255:115-125, 2003.
26. Fistarol G, Legrand C, Selander E, Hummert C, Stolte W, Graneli E, Allelopathy in alexandrium spp: effect on a natural plankton community and on algal monocultures, Aquat Microb Ecol 35:45-56, 2004.
27. Sole J, García-Ladona, E, Ruardij P, Estrada M, Modelling allelopathy among marine algae, Ecol Modell 183:373-384, 2005.
28. Kozlowsky-Suzuki, B et al, Feeding, reproduction and toxin accumulation by the copepods Acartia bifilosa and Eurytenora affinis in the presence of the toxic cyanobacterium Nodularia spumigena, Mar Ecol Prog 249:237-249, 2003.
29. Chattopadhyay J, Sarkar RR, Mandal S, Toxin producing plankton may act as a biological control for planktonic blooms-field study and mathematical modeling, J Theor Biol 215:333-344, 2002a.
30. Chattopadhyay J, Sarkar RR, Elabdllaoui A, A delay differential equation model on harmful algal blooms in the presence of toxic substances, IMA J Math Appl Med Biol 19:137-161, 2002b.
31. Sarkar RR and Chattopadhyay J, The role of environmental stochasticity in a toxic phytoplankton-non-toxic phytoplankton-zooplankton system, Environmetrics 14:775-792, 2003.
32. Roy S, Alam S, Chattopadhyay J, Competing effects of toxin-producing phytoplankton on the overall plankton populations in the Bay of Bengal, Bull of Math Biol 68(8):2303-2320, 2006.
33. Cembella AD, Chemical ecology of eukaryotic microalgae in marine ecosystems, Phycologia 42(4):20-447, 2003.
34. Maynard-Smith, J, Models in Ecology, Cambridge University Press, 1974.
35. Chattopadhyay J, Effect of toxic substances on a two-species competitive system, Ecol Modell 84:287-291, 1996.
36. Mukhopadhyay W, Chattopadhyay J, Tapaswi P, A delay differential equations model of plankton allelopathy, Math Biosci 149:167-189, 1998.
37. Nakamaru M, Iwasa Y, Competition by allelopathy proceeds in travelling waves: colicin-immune strain aids colicin-sensitive strain, Theor Popul Biol 57:131-144, 2000.
38. Tomas CR, Identifying Marine Diatoms and Dinoflagellates, San Diego, California: AP, 858, 1997.
39. Hulot FD, Huisman J, Allelopathic interactions between phytoplankton species: the role of heterotrophic bacteria and mixing intensity, Limnol Oceanogr 49:1424-1434, 2004.
40. Roy S, Bhattacharya S, Das P, Chattopadhyay J, Interaction among nontoxic phytoplankton, toxic phytoplankton and zooplankton: inferences from field observations, J Biol Phys, submitted revised version.
41. Kot M, Elements of Mathematical Ecology, Cambridge University Press, UK, 2001.
42. Beretta E, Kolmanowskii V, Shaikhet L, Stability of epidemic model with time delays influenced by stochastic perturbations, Math Comp Simul 45:269-277, 1998.
43. Gikhman II, Skorokhod AV, The Theory of Stochastic Processes I, Springer, Berlin, 1974.
44. Gikhman II, Skorokhod AV, The Theory of Stochastic Processes II, Springer, Berlin, 1975.
45. Gikhman II, Skorokhod AV, The Theory of Stochastic Processes III, Springer, Berlin, 1979.
46. Kloeden PE, Platen E, Numerical Solution of Stochastic Differential Equations, Springer, Berlin, 1995.
47. Afanasev VN, Kolmanowskii VB, Nosov VR, Mathematical Theory of Control Systems Design, Kluwer Academic, Dordrecht, 1996.
48. Carletti M, On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment, Math Biosci 175:117-131, 2002.