Costly dispersal can destabilize the homogeneous equilibrium of a metapopulation

Journal of Theoretical Biology

Volumn 262, Issue 2, 2010, Pages 279-283

  Kisdi, Éva ^a  

^a UNIVERSITY OF HELSINKI   (Finland)

Author keywords

Bifurcation; Coupled map lattice; Discrete time population dynamics; Dispersal; Metapopulation; Mortality; Stability

Indexed keywords

BIFURCATION; DISPERSAL; EQUILIBRIUM; HOMOGENEITY; METAPOPULATION; MORTALITY; POPULATION DYNAMICS;

ARTICLE; ECOLOGY; HUMAN; MATHEMATICAL ANALYSIS; METAPOPULATION; MORTALITY; POPULATION DYNAMICS; PRIORITY JOURNAL; STATISTICAL MODEL;

COMPUTER SIMULATION; HUMANS; MODELS, BIOLOGICAL; POPULATION DENSITY; POPULATION DYNAMICS;

EID: 70450247056     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2009.09.032     Document Type: Article

References (32)

1. Amarasekare P. Interactions between local dynamics and dispersal: insights from single-species models. Theor. Pop. Biol. 53 (1998) 44-59
2. de Castro M.L., Silva J.A.L., and Justo D.A.R. Stability in an age-structured metapopulation model. J. Math. Biol. 52 (2006) 183-208
3. Doebeli M. Dispersal and dynamics. Theor. Pop. Biol. 47 (1995) 82-106
4. Doebeli M., and Ruxton G.D. Stabilization through spatial pattern formation in metapopulations with long-range dispersal. Proc. R. Soc. Lond. B 265 (1998) 1325-1332
5. Eskola H., and Geritz S.A.H. On the derivation of discrete-time population models by varying within-season patterns of reproduction and aggression. Bull. Math. Biol. 69 (2007) 329-346
6. Eskola H.T.M., and Parvinen K. On the mechanistic underpinning of discrete-time population models with Allee effect. Theor. Pop. Biol. 72 (2007) 41-51
7. Gamarra J.G.P., and Sole R.V. Complex discrete dynamics from simple continuous population models. Bull. Math. Biol. 64 (2002) 611-620
8. Geritz S.A.H., and Kisdi E. On the mechanistic underpinning of discrete-time population models with complex dynamics. J. Theor. Biol. 228 (2004) 261-269
9. Gruntfest Y., Arditi R., and Dombrovsky Y. A fragmented population in a varying environment. J. Theor. Biol. 185 (1997) 539-547
10. Gyllenberg M., Söderbacka G., and Ericsson S. Does migration stabilize local population dynamics? Analysis of a discrete metapopulation model. Math. Biosci. 118 (1993) 25-49
11. Gyllenberg M., Hanski I., and Lindström T. Continuous versus discrete single species population models with adjustable reproductive strategies. Bull. Math. Biol. 59 (1997) 679-705
12. Gyllenberg M., Hemminki J., and Tammaru T. Allee effects can both conserve and create spatial heterogeneity in population densities. Theor. Pop. Biol. 56 (1999) 231-242
13. Hassell M.P. Density-dependence in single-species populations. J. Anim. Ecol. 44 (1975) 283-295
14. Hastings A. Age dependent dispersal in not a simple process: density dependence, stability, and chaos. Theor. Pop. Biol. 41 (1992) 388-400
15. Hastings A. Complex interactions between dispersal and dynamics: lessons from coupled logistic equations. Ecology 74 (1993) 1362-1372
16. Jang S.R.-J., and Mitra A.K. Equilibrium stability of single-species metapopulations. Bull. Math. Biol. 62 (2000) 155-161
17. Jansen V.A.A., and Lloyd A.L. Local stability analysis of spatially homogeneous solutions of multi-patch systems. J. Math. Biol. 41 (2000) 232-252
18. Johansson A., and Sumpter D.J.T. From local interactions to population dynamics in site-based models of ecology. Theor. Pop. Biol. 64 (2003) 497-517
19. Kaneko K. Supertransients, spatiotemporal intermittency and stability of fully developed spatiotemporal chaos. Physics Letters A 149 (1990) 105-112
20. Kaneko K. Diversity, stability, and metadynamics: remarks from coupled map studies. In: Bascompte J., and Sole R.V. (Eds). Modeling Spatiotemporal Dynamics in Ecology (1998), Springer, Berlin 27-45
21. Lloyd A.L. The coupled logistic map: a simple model for the effects of spatial heterogeneity on population dynamics. J. Theor. Biol. 173 (1995) 217-230
22. Maynard Smith J., and Slatkin M. The stability of predator-prey systems. Ecology 54 (1973) 384-391
23. Rohani P., May R.M., and Hassell M.P. Metapopulations and equilibrium stability: the effects of spatial structure. J. Theor. Biol. 181 (1996) 97-109
24. Rohani P., and Ruxton G.D. Dispersal and stability in metapopulations. IMA J. Math. Appl. Med. Biol. 16 (1999) 297-306
25. Rohani P., and Ruxton G.D. Dispersal-induced instabilities in host-parasitoid metapopulations. Theor. Pop. Biol. 55 (1999) 23-36
26. Ruxton G.D. Density-dependent migration and stability in a system of linked populations. Bull. Math. Biol. 58 (1996) 643-660
27. Ruxton G., Gonzalez-Andujar J.L., and Perry J.N. Mortality during dispersal stabilizes local population fluctuations. J. Anim. Ecol. 66 (1997) 289-292
28. Ruxton G.D., Gonzalez-Andujar J.L., and Perry J.N. Mortality during dispersal and the stability of a metapopulation. J. Theor. Biol. 186 (1997) 389-396
29. Silva J.A.L., de Castro M.L., and Justo D.A.R. Stability in a metapopulation model with density-dependent dispersal. Bull. Math. Biol. 63 (2001) 485-505
30. Thieme H.R. Mathematics in Population Biology (2003), Princeton University Press, Princeton
31. Utz M., Kisdi E., and Doebeli M. Quasi-local competition in stage-structured metapopulations: a new mechanism of pattern formation. Bull. Math. Biol. 69 (2007) 1649-1672
32. White S.M., and White K.A.J. Relating coupled map lattices to integro-difference equations: dispersal-driven instabilities in coupled map lattices. J. Theor. Biol. 235 (2005) 463-475