The role of virus infection in a simple phytoplankton zooplankton system

Journal of Theoretical Biology

Volumn 231, Issue 2, 2004, Pages 153-166

  Singh, Brajendra K ^a   Chattopadhyay, Joydev ^b   Sinha, Somdatta ^a  

^a CENTRE FOR CELLULAR AND MOLECULAR BIOLOGY   (India)

^b INDIAN STATISTICAL INSTITUTE   (India)

Author keywords

Phytoplankton blooms; Phytoplankton zooplankton; Virus infection

Indexed keywords

ALGAL BLOOM; PHYTOPLANKTON; PREDATOR-PREY INTERACTION; VIRAL DISEASE; ZOOPLANKTON;

ALGAL BLOOM; ARTICLE; INFECTION RATE; INFECTION SENSITIVITY; PHYTOPLANKTON; POPULATION DENSITY; POPULATION DYNAMICS; POPULATION STRUCTURE; PREDATION; PRIORITY JOURNAL; THEORETICAL MODEL; VIRUS INFECTION; ZOOPLANKTON;

ANIMALS; ECOSYSTEM; MODELS, BIOLOGICAL; PHYTOPLANKTON; POPULATION DENSITY; PREDATORY BEHAVIOR; VIRUS DISEASES; ZOOPLANKTON;

EID: 4544256326     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jtbi.2004.06.010     Document Type: Article

References (49)

1. Agusti, S., Duarte, C.M., Kalff, J., 1987. Algal cell size and the maximum density and biomass of phytoplankton. Limnol. Occeangr. 32, 983-986.
2. Anderson, R.M., May, R.M., 1991. Infectious Diseases of Humans, Dynamics and Control. Oxford University Press, Oxford.
3. Arme, C., Owen, R.W., 1967. Infections of the three-spined stickleback, Gasterostens acnleatus L., with the plerocercoid larvae of Schiotocephalus solidus (Muller, 1776), with special reference to pathological effects. Parasitology 57, 301-314.
4. Beltrami, E., Carroll, T.O., 1994. Modelling the role of viral disease in recurrent phytoplankton blooms. J. Math. Biol. 32, 857-863.
5. Bergh, O., Borsheim, K.Y., Bratbak, G., heldal,M., 1989. High abundance of viruses found in aquatic environments. Nature 340, 467-468.
6. Bratbak, G., Levasseur, M., Michand, S., Contin, G., Fernandez, E., Heldel, M., 1995. Viral activity in relation to Emiliania huxleyi blooms: a mechanism of DMSP release. Mar. Ecol. Progr. Ser. 128, 133-142.
7. Brussaard, C.P.D., Gast, G.J., van Duyl, F.C., Riegman, R., 1996. Impact of phytoplankton bloom magnitude on a pelagic microbial food web. Mar. Ecol. Prog. Ser. 144, 211-221.
8. Carr, J., 1981. Applications of Center Manifold Theory. Springer, New York.
9. Chattopadhyay, J., Arino, O., 1999. A predator prey model with disease in the prey. Nonlinear Anal. 36, 747-766.
10. Chattopadhyay, J., Pal, S. 2002. Viral infection of phytoplankton zooplankton system - a mathematical modelling. Ecol. Model.
11. Chattopadhyay, J., Ghosal, G., Chaudhuri, K.S., 1999. Nonselective harvesting of a predator-prey community with infected prey. Korean J. Computatl. Appld. Math. 6, 601-616.
12. De Jong, M.C.M., Diekmann, O., Heesterbeek, J.A.P., 1994. How does infection transmission depend on population size?. In: Mollison, D. (Ed.), Epidemic Models, Their Structure and Relation to Data. Cambridge University Press, Cambridge.
13. Ebert, U., Arrayas, M., Temme, N., Sommeijer, B., Huisman, J., 2001. Critical conditions for phytoplankton blooms. Bull. Math. Biol. 63, 1095-1124.
14. Edelstein-Keshet, L., 1988. Mathematical Models in Biology. Random House, New York, pp. 78-83.
15. Edwards, A.M., Brindley, J., 1996. Oscillatory behaviour in a three-component plankton population model. Dynam. Stability Syst. 11, 347-370.
16. Freedman, H.I., 1990. A model of predator-prey dynamics as modified by the action of parasite. Math. Biosci. 99, 143-155.
17. Guckenheimer, J., Holmes, P.J., 1983. Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields. Springer, New York.
18. Hadeler, K.P., Freedman, H.I., 1989. Predator-prey population with parasite infection. J. Math. Biol. 27, 609-631.
19. Hamilton, W.D., Axelrod, R., Tanese, R., 1990. Sexual reproduction as an adaptation to resist parasite: a review. Proc. Natl Acad. Sci. USA 87, 3566-3573.
20. Hassard, B.D., Kazarinoff, Y.H., Wan, Y.H., 1981. Theory and Applications of Hopf-bifurcation. Cambridge University Press, Cambridge.
21. Holmes, J.C., Bethel, W.M., 1972. Modification of intermediate host behaviour by parasites. in: Cunning, E.V., Wright, C.A. (Eds.), Behavioural Aspects of Parasites Transmissions. Zool. J. Linn. Soc. 51 (Suppl. 1), 123-149.
22. Huisman, J.P., Van Oostveen, Weissing, F.J., 1999. Critical depth and critical turbulence: two different mechanisms for the development of phytoplankton blooms. Limnol. Oceanogr. 44, 1781-1788.
23. Inoue, M., Kamifukumoto, H., 1984. Scenarios leading to chaos in a forced Lotka Volterra model. Prog. Theor. Phys. 71, 930-937.
24. Kermack, W.O., McKendrick, A.G., 1927. Contributions to the mathematical theory of epidemics. Proc. R. Soc. London Series A 115, 700-721.
25. Lafferty, K.D., Morris, A.K., 1996. Altered behaviour of parasitized kill fish increases susceptibility to predation by bird final hosts. Ecology 77, 1390-1397.
26. McAdams, H.H., Arkin, A., 1999. It's a noisy business. Trends Genet. 15, 65-69.
27. Murray, J.D., 1989. Mathematical Biology. Springer, New York.
28. Nagasaki, K., Yamaguchi, M., 1997. Isolation of a virus infectious to the harmful blooms causing microalga Heterosigma akashiwo (raphidophyceae). Aquat. Microbiol. Ecol. 13, 135-140.
29. Peduzzi, P., Weinbauer, M.G., 1993. Effect of concentrating the virus-rich 2-200nm size fraction of seawater on the formation of algal flocs (marine snow). Limnol. Oceanogr. 38, 1562-1565.
30. Pitchford, J.W., Brindley, J., 1998. Intratrophic predation in simple predator-prey models. Bull. Math. Biol. 60, 937-953.
31. Platt, T., Bird, D.F., Sathyendranath, S., 1991. Critical depth and marine primary production. Proc. Roy. Soc. London B 246, 205-217.
32. Platt, T., Fuentes-Yaco, C., Frank, K.T., 2003. Spring algal bloom and larval fish survival. Nature 423, 398-399.
33. Reisser, W., 1993. Viruses and virus-like particles of freshwater and marine eukaryotic algae - a review. Arch. Protistenkunde 143, 257-265.
34. Rinaldi, S., Muratori, S., Kuznetsov, Y., 1993. Multiple attractors, catastrophe and chaos in seasonally perturbed predator-prey communities. Bull. Math. Biol. 55, 15-35.
35. Rosenzweig, M.L., MacArthur, R.H., 1963. Graphical representation and stability conditions of predator-prey interactions. Amer. Nat. 97, 209-223.
36. Smayda, T.J., 1997a. What is a bloom? A commentary. Limnol. Occeanogr. 42 (5 Part 2), 1132-1136.
37. Smayda, T.J., 1997b. Harmful phytoplankton blooms: their ecophysiology and general relevance to phytoplankton blooms in the sea. Limnol. Occeanogr. 42, 1137-1153.
38. Steele, J.H., Henderson, E.W., 1993. The significance of interannual variability. In: Evans, G.T., Fasham,M.J.R. (Eds.), Towards a Model of Ocean Biogeochemical Processes. Springer, Berlin, pp. 237-260.
39. Suttle, C.A., Chan, A.M., 1993. Marine cyanophages infecting oceanic and coastal strains of Synechococcus: abundance, morphology, crossinfectivity and growth characteristics. Mar. Ecol. Prog. Ser. 92, 99-109.
40. Suttle, C., Charm, A., Cottrell, M., 1990. Infection of phytoplankton by viruses and reduction of primary productivity. Nature 347, 467-469.
41. Suttle, C.A., Chan, A.M., Chen, F., Garza, D.R., 1993. Cynophages and sunlight: a paradox. In: Guerrero, R., Pedros-Alio, C. (Eds.), Trends in Microbial Ecology. Spanish Society for Microbiology, Barcelona.
42. Tont, S., 1976. Short-period climatic fluctuations: effects on diatom biomass. Science 194, 942-944.
43. Truscott, J.E., Brindley, J., 1994. Ocean plankton populations as excitable media. Bull. Math. Biol. 56, 981-998.
44. Uhlig, G., Sahling, G., 1992. Long-term studies on Noctilucascintillans in the German bight. Neth. J. Sea Res. 25, 101-112.
45. van Etten, J.L., Lane, L.C., Meints, R.H., 1991. Viruses and virus like particles of eukaryotic algae. Microbiol. Rev. 55, 586-620.
46. Venturino, E., 1995. Epidemics in predator-prey models: disease in the prey. In: Arino, O., Axelrod, D., Kimmel, M., Langlais, M. (Eds.), Mathematical Population Dynamics: Analysis of Heterogeneity, vol. 1, pp. 381-393.
47. Weissing, F.J., Huisman, J., 1994. Growth and competition in a light gradient. J. Theor. Biol. 168, 323-336.
48. Williams, H.H., 1967. Helminth diseases of.sh. Helminth Abstr. 36, 261-295.
49. Xiao, Y., Chen, L., 2001. Modelling and analysis of a predator-prey model with disease in the prey. Math Biosci. 171, 59-82.