Effect of aggressive behaviour on age-structured population dynamics

Ecological Modelling

Volumn 193, Issue 3-4, 2006, Pages 777-786

  Chambon Dubreuil, Estelle ^a,b   Auger, Pierre ^b,c   Gaillard, Jean Michel ^b   Khaladi, Mohamed ^d  

^a UNIVERSITÉ DE TOULOUSE   (France)

^b UNIVERSITÉ LYON 1   (France)

^c INSTITUT DE RECHERCHE POUR LE DÉVELOPPEMENT   (France)

^d FACULTÉ DES SCIENCES SEMLALIA   (Morocco)

Author keywords

Aggregation methods; Aggressiveness; Game dynamics; Individual behaviour; Leslie model

Indexed keywords

COMPETITION; COSTS; GAME THEORY; MATHEMATICAL MODELS;

AGGRESSIVENESS; GAME DYNAMICS; LESLIE MODEL;

POPULATION STATISTICS;

AGE STRUCTURE; AGGRESSION; POPULATION DYNAMICS; POPULATION STRUCTURE;

EID: 32644473193     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2005.09.005     Document Type: Article

References (41)

1. E. Akin The Geometry of Population Genetics Lect Notes in Biomaths 31 1979 Springer-Verlag Berlin, New York pp. 37-42
2. P. Auger, and R. Bravo de la Parra Methods of aggregation of variables in population dynamics C.R. Acad. Sci. 323 2000 665 674
3. P. Auger, R. Bravo de la Parra, and E. Sanchez Hawk-dove game and competition dynamics Math. Comput. Model 27/4 1998 89 98
4. P. Auger, and J.C. Poggiale Emergence of population growth models: fast migration and slow growth J. Theor. Biol. 182 1996 99 108
5. P. Auger, and J.C. Poggiale Aggregation and emergence in systems of ordinary differential equations Math. Comput. Model 27 4 1998 1 21
6. P. Auger, and D. Pontier Fast game theory coupled to slow population dynamics: the case of domestic cat populations Math. Biosci. 148 1998 65 82
7. P. Auger, S. Charles, M.et. Viala, and J.C. Poggiale Aggregation and emergence in ecological modelling integration of ecological levels Ecol. Model. 127 2000 11 20
8. M. Begon, J.L. Harper, and C.R. Townsend Ecology. Individuals, Populations and Communities 1996 Blackwell Science Oxford, UK
9. C. Bernstein, P. Auger, and J.C. Poggiale Predator migration decisions, the ideal free distribution and predator-prey dynamics Am. Nat. 153 1999 267 281
10. R. Bravo de la Parra, and E. Sanchez Aggregation methods in population dynamics discrete models Math. Comput. Model 27 1998 23 39
11. R. Bravo de la Parra, E. Sanchez, O. Arino, and P. Auger A discrete model with density dependent fast migration Math. Biosci. 157 1999 91 109
12. R. Bravo de la Parra, E. Sanchez, and P. Auger Aggregation methods in discrete models J. Biol. Syst. 3/2 1995 603 612
13. H. Caswell Matrix Population Models: Construction, Analysis and Interpretation second ed. 2001 Sinauer Associates Inc. Sunderland, MA
14. S. Charles, R. Bravo de la Parra, J.P. Mallet, H. Persat, and P. Auger A density dependent model describing Salmo trutta population dynamics in an arborescent river network. Effects of dams and channelling C.R. Acad. Sci. Paris Science de la vie 331 1998 979 990
15. S. Charles, R. Bravo de la Parra, J.P. Mallet, H. Persat, and P. Auger Annual spawning migrations in modelling brown trout population Ecol. Model 133 2000 15 31
16. R. Cressman The Stability Concept of Evolutionary Game Theory Lecture Notes Biomath 1992 Springer-Verlag Berlin, Heidelberg pp. 94
17. J.F. Crow, and M. Kimura An Introduction to Population Genetics Theory 1970 Harper & Row New York
18. J.M. Gaillard, M. Festa-Bianchet, N.G. Yoccoz, A. Loison, and C. Toïgo Temporal variation in fitness components and population dynamics of large herbivores Ann. Rev. Ecol. Syst. 31 2000 367 393
19. J. Hofbauer, and K. Sigmund The Theory of Evolution and Dynamical Systems 1988 Cambridge University Press Cambridge
20. Y. Iwasa, V. Andreasen, and S.A. Levin Aggregation in model ecosystems. I. Perfect aggregation Ecol. Model 37 1987 287 302
21. Y. Iwasa, S.A. Levin, and V. Andreasen Aggregation in model ecosystems. II. Approximate aggregation IMA J. Math. Appl. Med. Biol. 6 1989 1 23
22. M. Kimura On the change of population fitness by natural selection Heredity 12 1958 145 167
23. J.R. Krebs, and W.B. Davies An Introduction to Behavioural Ecology third ed. 1993 Blackwell Oxford
24. C. Lett, P. Auger, and R. Bravo de la Parra Migration frequency and the persistence of host-parasitoid interactions J. Theor. Biol. 221 2003 639 654
25. A. Lomnicki Regulation of population density due to individual differences and patchy environment Oikos 35 1980 185 193
26. D.F. Lott Intraspecific Variation in the Social Systems of Wild Vertebrates 1991 Cambridge University Press New York
27. D.M. Mac Farland Animal Behaviour Psychology Ethology and Evolution 1999 De Boeck University Paris
28. A. Manning, and M.S. Dawkins An Introduction to Animal Behaviour fifth ed. 1998 Cambridge University Press Cambridge
29. J. Maynard Smith Evolution and the Theory of Games 1982 Cambridge University Press Cambridge
30. M. Mesterton-Gibbons An Introduction to Game-theoretic Modelling 1992 Addison Wesley Rellwood City
31. Pélabon C, 1994. La sélection sexuelle chez les daims: une étude de l'investissement maternel et des stratégies de reproduction. Thèse Université Claude Bernard Lyon 1, Lyon.
32. D. Pontier, N. Rioux, and A. Heizmann Evidence of selection on the orange allele in the domestic cat Felis catus: the role of social structure Oikos 73 1995 299 308
33. D. Pontier, P. Auger, R. Bravo de la Parra, and E. Sãnchez The impact of behavioral plasticity at individual level on domestic cat population dynamics Ecol. Model 133 1-2 2000 117 124
34. Putman, 1985. Efficient exploitation of natural population of fallow deer: a model. Biology of deer production. R. Soc. New Zealand 22, 339-342.
35. E. Sanchez, P. Auger, and R. Bravo de la Parra Influence of individual aggressiveness on the dynamics of competitive populations Acta Biotheor. 45 1997 321 333
36. E. Sanchez, R. Bravo de la Parra, and P. Auger Linear discrete models with different time scales Acta Biotheor. 43 1995 465 479
37. L. Sanz, and R. Bravo de la Parra Variables aggregation in a time discrete linear model Math. Biosci. 157 1999 111 146
38. R.M. Sibly Behavioural ecology: ecological consequences of adaptive behaviour R.M. Sibly R.H. Smith The 25th Symposium of the British Ecological Society, Reading 1985 Blackwell Oxford 620
39. K. Sigmund A survey replicator equations J.L. Casti A. Karlquist Complexity, Language and Life: Mathematical Approaches, Biomathematics Texts vol. 16 1986 Springer
40. J.A. Stamps, and M. Buechner The territorial defense hypothesis and the ecology of insular vertebrates Quart. Rev. Biol. 60 1985 155 181
41. W.J. Sutherland, and K. Norris Behavioural models of population growth rates: implications for conservation and prediction Phil. Trans. R. Soc. Lond. Ser. B 357 2002 1273 1284