Local asymptotic coherence of time-varying discrete ecological networks

Automatica

Volumn 45, Issue 2, 2009, Pages 546-552

  Chen, Liang ^a,b   Lü, Jinhu ^c   Lu, Jun an ^a   Hill, David John ^d  

^a WUHAN UNIVERSITY   (China)

^b GUANGXI UNIVERSITY   (China)

^c INSTITUTE OF SYSTEMS SCIENCE   (China)

^d AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Biological control; Coherence; Metapopulation dynamics; Spatial synchrony; Time varying ecological networks

Indexed keywords

COHERENT LIGHT; DYNAMICS; ECOLOGY; METROPOLITAN AREA NETWORKS; TIME VARYING SYSTEMS;

BIOLOGICAL CONTROL; COHERENCE; METAPOPULATION DYNAMICS; SPATIAL SYNCHRONY; TIME-VARYING ECOLOGICAL NETWORKS;

TIME VARYING NETWORKS;

EID: 58349104386     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2008.09.006     Document Type: Article

References (21)

1. Allen J.C., Schaffer W.M., and Rosko D. Chaos reduces species extinction by amplifying local population noise. Nature 364 (1993) 229-232
2. Blasius B., Huppert A., and Stone L. Complex dynamics and phase synchronization in spatially extended ecological systems. Nature 399 (1999) 354-359
3. Cazelles B., Bottani S., and Stone L. Unexpected coherence and conservation. Proceedings of The Royal Society London Series B 268 (2001) 2595-2602
4. Earn D.J.D., and Levin S.A. Global asymptotic coherence in discrete dynamical systems. Proceedings of the National Academy of Sciences of the United States of America 103 11 (2006) 3968-3971
5. Earn D.J.D., Levin S.A., and Rohani P. Coherence and conservation. Science 290 (2000) 1360-1364
6. Earn D.J.D., Rohani P., and Grenfell B.T. Persistence, chaos and synchrony in ecology and epidemiology. Proceedings of The Royal Society London Series B 265 (1998) 7-10
7. Heino M., Kaitala V., Ranta E., and Lindström J. Synchronous dynamics and rates of extinction in spatially structured populations. Proceedings of The Royal Society London Series B 264 (1997) 481-486
8. Kaneko K. Relevance of dynamic clustering to biological networks. Physica D 75 (1994) 55-73
9. Levin S.A., Grenfell B., Hastings A., and Perelson A.S. Mathematical and computational challenges in population biology and ecosystems science. Science 275 (1997) 334-343
10. Lü J., and Chen G. A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Transactions on Automatic Control 50 6 (2005) 841-846
11. Lu W., Chen T., and Chen G. Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay. Physica D 221 (2006) 118-134
12. Lü J., Leung H., and Chen G. Complex dynamical networks: Modelling, synchronization and control. Dynamics of Continuous, Discrete and Impulsive Systems, Series B 11a (2004) 70-77
13. Lü J., Yu X., and Chen G. Chaos synchronization of general complex dynamical networks. Physica A 334 1-2 (2004) 281-302
14. Lü J., Yu X., Chen G., and Cheng D. Characterizing the synchronizability of small-world dynamical networks. IEEE Transactions on Circuits and Systems I 51 4 (2004) 787-796
15. Montoya J.M., Pimm S.L., and Solé R.V. Ecological networks and their fragility. Nature 442 (2006) 259-264
16. Silva J.A.L., De Castro M.L., and Justo A.R. Synchronism in a metapopulation model. Bulletin of Mathematical Biology 62 (2000) 337-349
17. Thomas C.D., Singer M.C., and Boughton D.A. Catastrophic extinction of population sources in a butterfly metapopulation. American Naturalist 148 6 (1996) 957-975
18. Wichmann M.C., Johst K., Schwager M., Blasius B., and Jeltsch F. Extinction risk, coloured noise and the scaling of variance. Theoretical Population Biology 68 (2005) 29-40
19. Wu C.W. Synchronization and convergence of linear dynamics in random directed networks. IEEE Transactions on Automatic Control 51 7 (2006) 1207-1210
20. Zhang Q., Lu J., Lü J., and Tse C.K. Adaptive feedback synchronization of a general complex dynamical network with delayed nodes. IEEE Transactions on Circuits and Systems II 55 2 (2008) 183-187
21. Zhou J., Lu J., and Lü J. Adaptive synchronization of an uncertain complex dynamical network. IEEE Transactions on Automatic Control 51 4 (2006) 652-656