摘要A fundamental tenet in theoretical ecology is the competitive exclusion principle. Two competitive species for a limited resource cannot coexist and thus one of the species will be driven to extinction. However, we show that noise can revise this principle in a resonance-like manner, which makes coherence resonance in the system. Our obtained results well enrich the findings in the interaction of populations in ecosystems, which may explain some filed observations in the real world.
Abstract：A fundamental tenet in theoretical ecology is the competitive exclusion principle. Two competitive species for a limited resource cannot coexist and thus one of the species will be driven to extinction. However, we show that noise can revise this principle in a resonance-like manner, which makes coherence resonance in the system. Our obtained results well enrich the findings in the interaction of populations in ecosystems, which may explain some filed observations in the real world.
LIU Yong-Jiang;WANG Ai-Ling;WANG Biao;LIU Zhao-Hua. Competitive Exclusion Principle Revised by Noise[J]. 中国物理快报, 2010, 27(1): 18701-018701.
LIU Yong-Jiang, WANG Ai-Ling, WANG Biao, LIU Zhao-Hua. Competitive Exclusion Principle Revised by Noise. Chin. Phys. Lett., 2010, 27(1): 18701-018701.
[1] Park T 1948 Ecol. Monogr. 18 265 [2] Park T 1954 Physiol. Zool. 27 177 [3] Park T 1957 Physiol. Zool. 30 22 [4] Park T, Leslie P H, and Mertz D B 1964 Physiol.Zool. 37 97 [5] Cushing J M, Levarge S, Chitnis N and Henson S M 2004 Journal of Difference Equations and Applications 10 1139 [6] Leslie P H and Gower J C 1958 Biometrika 45316 [7] Holling C S 1973 Annu. Rev. Ecol. Syst. 4 1 [8] Folke C, Carpenter S R, Walker B, Scheffer M, Elmqvist T,Gunderson L H and Holling C 2004 Annu. Rev. Ecol. Evol. Syst. 35 557 [9] Scheffer M and Rinaldi S 2000 Freshwater Biol. 45 265 [10] Guttal V and Jayaprakash C 2007 Ecol. Model. 201 420 [11] Murray J D 1988 Mathematical Biology (Springer-Verlag,Berlin) [12] Vilar J M G and Sol\'{e R V 1998 Phys. Rev. Lett. 80 4099 [13] Reichenbach T, Mobilia M and Frey E 2007 Phys. Rev. Lett. 99 238105 [14] Reichenbach T, Mobilia M and Frey E 2007 Nature 4481046 [15] Liu Q X, Li B and Jin Z 2008 J. Stat. Mech. P05011 [16] Blasius B, Huppert A and Stone L 1999 Nature 399 354 [17] Mankin R et al 2002 Phys. Rev. E 65 051108 [18] Mankin R et al 2004 Phys. Rev. E 69 061106 [19] Higham D J 2001 SIAM Rev. 43 525 [20] Sun G Q, Jin Z, Liu Q X and Li L 2009 J. Biol.Phys. 35 185 [21] Perc M 2005 Phys. Rev. E 72 016207 [22] Perc M 2005 New J. Phys. 7 252 [23] Perc M 2008 New J. Phys. 8 22 [24] Pikovsky A S and Kurths J 1997 Phys. Rev. Lett. 78 775 [25] Sun G Q, Jin Z, Liu Q X and Li L 2008 Chin. Phys.Lett. 25 2296 [26] Li L, Jin Z and Sun G Q 2008 Chin. Phys. Lett. 25 3500
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