Free Access
Issue |
Math. Model. Nat. Phenom.
Volume 11, Number 4, 2016
Ecology, Epidemiology and Evolution
|
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Page(s) | 135 - 153 | |
DOI | https://doi.org/10.1051/mmnp/201611410 | |
Published online | 19 July 2016 |
- C. Accolla, D. Nérini, O. Maury, J.C. Poggiale. Analysis of functional response in presence of schooling phenomena: An IBM approach. Prog. Oceanogr., 134 (2015), 232–243. [CrossRef] [Google Scholar]
- H. Amann. Ordinary Differential Equations: An Introduction to Nonlinear Analysis, Walter de Gruyter, Berlin, 1990. [Google Scholar]
- P. Amarasekare. Interactions between Local Dynamics and Dispersal : Insights from Single Species Models. Theor. Popul. Biol., 53 (1998), 44–59. [CrossRef] [PubMed] [Google Scholar]
- P. Amarasekare. Spatial dynamics in a host-multi-parasitoid community. J. Anim. Ecol., 69 (2000a), 201–213. [CrossRef] [Google Scholar]
- P. Amarasekare. Coexistence of competing parasitoids on a patchily distributed host: local vs. spatial mechanisms. Ecology, 81 (2000b), 1286–1296. [CrossRef] [Google Scholar]
- P. Amarasekare. The role of density-dependent dispersal in source-sink dynamics. J. Theor. Biol., 226 (2004a), 159–68. [CrossRef] [Google Scholar]
- P. Amarasekare. Spatial variation and density-dependent dispersal in competitive coexistence. P. Roy. Soc. Lond. B. Bio., 271 (2004b), 1497–1506. [CrossRef] [Google Scholar]
- P. Auger, P. Roussarie. Complex ecological models with simple dynamics: from individuals to populations. Acta Biotheor., 42 (1994), 111–136. [CrossRef] [Google Scholar]
- P. Auger, J.C. Poggiale. Emerging properties in population dynamics with different time scales. J. Biol. Syst., 3 (1995), 591–602. [CrossRef] [Google Scholar]
- P. Auger, J.C. Poggiale. Emerging of population growth models: fast migration and slow growth. J. Theor. Biol., 182 (1996), 99–108. [CrossRef] [PubMed] [Google Scholar]
- P. Auger, D. Pontier. Fast game theory coupled to slow population dynamics: the case of domestic cat populations. Math. Biosci., 148 (1998), 65–82. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
- P. Auger, R. Bravo De La Parra, S. Morand. E. Sanchez. A predator-prey model with predators using hawk and dove tactics. Math. Biosci., 178 (2002), 185–200, 2002. [CrossRef] [Google Scholar]
- P. Auger, B. Kooi, R. Bravo De La Parra, J. C. Poggiale. Bifurcation Analysis of a Predator-prey Model with Predators using Hawk and Dove Tactics. J. Theor. Biol., 238 (2006), 597–607. [CrossRef] [PubMed] [Google Scholar]
- P. Auger, R. Bravo de la Parra, J.C. Poggicale, E. Sanchez, T. Nguyen-Huu. Aggregation of Variables and Applications to Population Dynamics, in Magal P, Ruan S (eds.), Structured Population Models in Biology and Epidemiology, Lecture Notes in Mathematics, Vol 1936, Mathematical Biosciences Subseries, Springer, Berlin, 209–263. 2008. [Google Scholar]
- P. Auger, R. Bravo De La Parra, E. Sanchez. Behavioral dynamics of two interacting hawk dove populations. Math. Mod. Meth. Appl. S., 11 (2001), 645–661. [CrossRef] [Google Scholar]
- D.E. Bowler, G.T. Benton. Causes and consequences of animal dispersal strategies: relating individual behaviour to spatial dynamics. Biol. Rev., 80 (2005), 205–225. [CrossRef] [Google Scholar]
- E. Chambon-Dubreuil, P. Auger, J. M. Gaillard, M. Khaladi. Effect of aggressive behaviour on age-structured population dynamics. Ecol. Model., 193 (2006), 777–786. [CrossRef] [Google Scholar]
- L. Edelstein-kheset. Mathematics Models in Biology, Rondom House, New York, 1988. [Google Scholar]
- A. Elabdalaoui, P. Auger, R. Bravo De La Parra, B. Kooi, R. Mchich. Effects of density-dependent migrations on stability of a two-patch predator-prey model. Math. Biosci., 210 (2007), 335–354, [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
- I. Hanski. Individual behavior, population dynamics and community structure of Aphodius (Scarabaeidae) in Europe. Acta. Oecol-Oec. Gen., 7 (1986), 171–187. [Google Scholar]
- C. Hauert, M. Holmes, M. Doebeli. Evolutionary games and population dynamics: maintenance of cooperation in public goods games. P. Roy. Soc. Lond. B. Bio., 273 (2006), 2565–2570. [CrossRef] [Google Scholar]
- J. Hofbauer, K. Sigmund. Evolutionary Games and Population Dynamics. Cambridge University Press. Cambridge. 1998. [Google Scholar]
- C. Lett, V. Mirabet. Modelling the dynamics of animal groups in motion. S. Afr. J. Sci., 104 (2008), 192–198. [Google Scholar]
- O. Maury, J.C. Poggiale. From individuals to populations to communities: A dynamic energy budget model of marine ecosystem size-spectrum including life history diversity. J. Theor. Biol., 324 (2013), 52–71. [CrossRef] [PubMed] [Google Scholar]
- M. Marvá, A. Moussaoui, R. Bravo de la Parra, P. Auger. density dependent model describing age-structured population dynamics using hawk-dove tactics. J. Differ. Equ. Appl., 19 (2013), 1–13. [CrossRef] [Google Scholar]
- J. Maynard Smith, G.R. Price. The logic of animal conflict. Nature, 246 (1973), 15–18. [CrossRef] [Google Scholar]
- J. Maynard-Smith. The theory of games and the evolution of animal conflicts. J. Theor. Biol., 47 (1974), 209–221. [CrossRef] [PubMed] [Google Scholar]
- J. Maynard Smith. Evolution and the Theory of Games. Cambridge University Press. Cambridge, UK, 1982. [Google Scholar]
- R. Mchich, P. Auger, C. Lett. Effects of aggregative and solitary individual behaviors on the dynamics of predator-prey game models. Ecol. Model., 197 (2006), 281–289. [CrossRef] [Google Scholar]
- V. Mirabet, P. Auger, C. Lett. Spatial structures in simulations of animal grouping. Ecol. Model., 201 (2007), 468–476. [CrossRef] [Google Scholar]
- A. Moussaoui, P. Auger, B. Roche. Effect of hawk-dove game on the dynamics of two competing species. Acta Biotheor., 62 (2014), 385–404. [CrossRef] [PubMed] [Google Scholar]
- A. Moussaoui, P. Auger, N. Ngoc Doanh. A stage structured population model with mature individuals using hawk and dove tactics. ARIMA, 20 (2015), 127–143. [Google Scholar]
- J.D. Murray. Mathematical Biology, Springer-Verlag, 1989. [CrossRef] [Google Scholar]
- T. Nguyen Huu, P. Auger, C. Lett, M. Márva. Emergence of global behaviour in a host-parasitoid model with density-dependent dispersal in a chain of patches. Ecol. Complex., 5 (2008), 9–21. [CrossRef] [Google Scholar]
- A. Okubo, S.A. Levin. Diffusion and ecological problems: Modern perspectives. Springer Verlag, 2002. [Google Scholar]
- D. Pontier, P. Auger, R. Bravo de la Parra, E. Sanchez. The impact of behavioral plasticity at individual level on domestic cat population dynamics. Ecol. Model., 133 (2000), 117–124. [CrossRef] [Google Scholar]
- E. Sánchez, P. Auger, R. Bravo De La Parra. Influence of Individual aggressiveness on the dynamics of competitive populations. Acta Biotheor., 45 (1997), 321–333. [CrossRef] [PubMed] [Google Scholar]
- K. Sigmund. A survey of replicator equations, in Complexity, Language, and Life : Mathematical Approaches, eds. J. L. Casti and A. Karlqvist, Biomathematics Texts. 16, Springer, 1986. [Google Scholar]
- D.J.T. Sumpter, D.S. Broomhead. Relating individual behaviour to population dynamics. P. Roy. Soc. Lond. B. Bio., 268 (2001), 925–932. [CrossRef] [Google Scholar]
- W.J. Sutherland. From individual behavior to population ecology. Oxford University Press. 1997. [Google Scholar]
- E.C. Zeeman. Dynamics of the evolution of animal conflicts. J. Theor. Biol., 89 (1981), 249–270. [CrossRef] [Google Scholar]
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