Population dynamics of Müllerian mimicry under interspecific competition

Ecological Modelling

Volumn 220, Issue 3, 2009, Pages 424-429

  Kumazawa, Fuga ^a   Asami, Takahiro ^b   Nakagiri, Nariyuki ^c   Tainaka, Kei ichi ^a   Togashi, Tatsuya ^d   Miyazaki, Tatsuo ^d   Yoshimura, Jin ^a,d,e  

^a SHIZUOKA UNIVERSITY   (Japan)

^b SHINSHU UNIVERSITY   (Japan)

^c UNIVERSITY OF HYOGO   (Japan)

^d CHIBA UNIVERSITY   (Japan)

^e STATE UNIVERSITY OF NEW YORK   (United States)

Author keywords

Density dependence; Frequency dependence; M llerian mimicry; Mutualism

Indexed keywords

COMPETITION; TURBULENT FLOW;

CURRENT DYNAMICS; DENSITY-DEPENDENCE; ENVIRONMENTAL CONDITIONS; EVOLUTIONARY DYNAMICS; EVOLUTIONARY ORIGINS; FREQUENCY-DEPENDENCE; INTERSPECIFIC COMPETITIONS; MUTUALISM; MUTUALISTIC INTERACTIONS; POPULATION EXPLOSIONS; POSITIVE FREQUENCIES; RELATIVE FREQUENCIES; VOLTERRA;

DYNAMICS;

BUTTERFLY; COEXISTENCE; DENSITY DEPENDENCE; ENVIRONMENTAL CONDITIONS; FREQUENCY DEPENDENCE; INTERSPECIFIC COMPETITION; LOTKA-VOLTERRA MODEL; MIMICRY; MORTALITY; MUTUALISM; POPULATION DYNAMICS;

PAPILIONOIDEA;

EID: 58149334783     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2008.11.007     Document Type: Article

References (26)

1. Bampfylde C.J., Brown N.D., Gavaghan D.J., and Maini P.K. Modelling rain forest diversity: the role of competition. Ecological Modelling 188 (2005) 253-278
2. Begon M., Harper J.L., and Townsend C.R. Ecology: Individuals, Populations and Communities (1996), Blackwell Publishing, Oxford 1068 pp
3. Bertness M.D., and Hacker S.D. Physical stress and positive associations among marsh plants. American Naturalist 144 (1994) 363-372
4. Bertness M.D., and Leonard G.H. The role of positive interactions in communities: lessons from intertidal habitats. Ecology 78 (1997) 1979-1989
5. In: Boucher D.H. (Ed). The Biology of Mutualism: Ecology and Evolution (1988), Oxford University Press, Oxford 400 pp
6. Fay T.H., and Greeff J.C. A three species competition model as a decision support tool. Ecological Modelling 211 (2008) 142-152
7. In: Futuyma D.J., and Slatkin M. (Eds). Coevolution (1983), Sinauer Asocates Inc., Sunderland 555 pp
8. Ginzburg L.R. Theory of Natural Selection and Population Growth (1983), Benjamin/Cummings, Menlo Park, CA 176
9. Gorlick D.L., Atkins P.D., and Losey G.S. Cleaning stations as water holes, garbage dumps, and sites for the evolution of reciprocal altruism. American Naturalist 112 (1978) 341-353
10. Hori M. Frequency-dependent natural selection in the handedness of scale-eating cichlid fish. Science 260 (1993) 216-219
11. Huang X., and Zu Y. The LES population model: essentials and relationship to the Lotka-Voltrra model. Ecological Modelling 143 (2001) 215-225
12. Kumazawa F., Asami T., Hayashi T., and Yoshimura J. Population dynamics of Batesian mimicry under interspecific competition. Evolutionary Ecology Research 8 4 (2006) 591-604
13. Kuno E. Competitive exclusion through reproductive interference. Researches on Population Ecology 34 (1992) 275-284
14. May R.M. Models for two interacting populations. In: May R.M. (Ed). Theoretical Ecology: Principles and Applications (1976), Saunders, Philadelphia, PA 49-70
15. May R.M. Mutualistic interactions among species. Nature 296 (1982) 803-804
16. McNaughton S.J., and Wolf L.L. General Ecology. 2nd ed. (1979), Holt, Rinehart and Winston, New York 710 pp.
17. Moreira H.N., and Yuquan W. Global stability in a class of competitive cubic systems. Ecological Modelling 102 (1997) 273-285
18. Pellmyr O., and Huth C.J. Evolutionary stability of mutualism between yuccas and yucca moths. Nature 372 (1994) 257-260
19. Rocha Fulho T.M., Gléria I.M., Figueiredo A., and Brenig L. The Lotka-Volterra canonical format. Ecological Modelling 183 (2005) 95-106
20. Stiling P. Ecology: Theories and Applications. 3rd ed. (1999), Prentice Hall International, London 638 pp.
21. Svirezhev Y. Lotka-Volterra models with the global vegetation pattern. Ecological Modelling 135 (2000) 135-146
22. Tainaka K., Yoshida N., Terazawa N., Nakagiri N., Takeuchi Y., and Yoshimura J. The effect of mutualism on community stability. Journal of the Physical Society of Japan 72 4 (2003) 956-961
23. Takahashi S., and Hori M. Unstable evolutionarily stable strategy and oscillation: a model of lateral asymmetry in scale-eating cichlids. American Naturalist 144 (1994) 1001-1020
24. Vandermeer J. The niche construction paradigm in ecological time. Ecological Modelling 214 (2008) 385-390
25. Wickler W. Mimicry in Plants and Animals (1968), McGraw-Hill, New York 253 pp. (English translation, reprint: 1974)
26. Yoshimura J., and Clark C.W. Population dynamics of sexual and resource competition. Theoretical Population Biology 45 (1994) 121-131