Chaos in a seasonally and periodically forced phytoplankton-zooplankton system

Nonlinear Analysis: Real World Applications

Volumn 10, Issue 3, 2009, Pages 1643-1650

  Gao, Meng ^a   Shi, Honghua ^b   Li, Zizhen ^a  

^a LANZHOU UNIVERSITY   (China)

^b OCEAN UNIVERSITY OF CHINA   (China)

Author keywords

Bifurcation; Chaotic attractor; Periodic resonance; Quasi periodicity

Indexed keywords

ALGAE CONTROL; BIFURCATION (MATHEMATICS); DYNAMICS; OCEAN HABITATS; PHYTOPLANKTON;

BIFURCATION; CHAOTIC ATTRACTOR; DEATH RATES; DYNAMIC BEHAVIORS; PERIODIC RESONANCE; PERIODIC VARIATIONS; PLANKTON DYNAMICS; QUASI-PERIODICITY; SEASONALITY;

RESONANCE;

EID: 60549091895     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2008.02.005     Document Type: Article

References (16)

1. Huppert A., Blasius B., and Stone L. A model of phytoplankton blooms. Am. Naturalist 159 (2002) 156-171
2. Edwards A.M., and Brindley J. Oscillatory behaviour in a three-component plankton population model. Dynamics Stability Syst. 11 (1996) 347-370
3. Edwards A.M. Adding detrius to a nutrient-phytoplankton-zooplankton model: A dynamical system approach. J. Plankton Res. 23 (2001) 389-413
4. Franks P.J.S. Models of harmful algal blooms. Limnology Oceangraphy 42 (1997) 1273-1282
5. Freund J.A., Mieruch S., Scholze B., Wiltshire K., and Feudel U. Bloom dynamics in a seasonally forced phytoplankton-zooplankton model: Trigger mechanisms and timing effects. Ecological Complexity 3 (2006) 129-139
6. Sellner K.G., Doucette G.J., and Kirkpatrick G.J. Harmful algal blooms: Causes, impacts and detection. J. Ind. Microbiol. Biotechnol. 30 (2003) 383-406
7. Miller P.I., Shutler J.D., Moore G.F., and Groom S.B. SeaWiFS discrimination of harmful algal bloom evolution. Internat. J. Remote Sensing 27 (2006) 2287-2301
8. Muttil N., and Lee J.H.W. Genetic programming for analysis and real-time prediction of coastal algal blooms. Ecol. Model. 189 (2005) 363-376
9. Villanoy C.L., Azanza R.V., Altemerano A., and Casil A.L. Attempts to model the bloom dynamics of Pyrodinium, a tropical toxic dinoflagellate. Harmful Algae 5 (2006) 156-183
10. Truscott J.E., and Brindley J. Ocean plankton populations as excitable media. Bull. Math. Biol. 56 (1994) 981-998
11. Sarkar R.R., and Chattopadhayay J. Occurrence of planktonic blooms under environmental fluctuations and its possible control mechanism mathematical models and experimental observations. J. Theoret Biol. 224 (2005) 501-516
12. Gakkhar S., and Naji R.K. Seasonally perturbated prey-predator system with predator-dependent functional response. Chaos Solitons Fractals 18 (2003) 1075-1083
13. Gakkhar S., and Naji R.K. Chaos in seasonally perturbated ratio-dependent prey-predator system. Chaos Solitons Fractals 15 (2003) 107-118
14. Huisman J., and Weissing F.J. Biodiversity of plankton by species oscillations and chaos. Nature 402 (1999) 407-410
15. Edwards A.M., and Bees M.A. Generic dynamics of a simple plankton population model with a non-integer exponent of closure. Chaos Solitons Fractals 12 (2001) 289-300
16. Huppert A., Blasius B., Olinky R., and Stone L. A model for seasonal phytoplankton blooms. J. Theoret. Biol. 236 (2005) 276-290