Pattern dynamics in a vegetation model with time delay
作者： Bo-li Xie
DOI: 10.1016/J.PHYSA.2015.09.075
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摘要: Abstract A vegetation model with both cross diffusion and time delay is considered. Based upon a stability analysis, we demonstrate that the affects spatial patterns under some conditions. In addition, through numerical simulations, obtain different patterns, including spot stripe-like patterns. These results may help us better understand dynamics of delay.
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Jonathan A. Sherratt, An Analysis of Vegetation Stripe Formation in Semi-Arid Landscapes Journal of Mathematical Biology. ,vol. 51, pp. 183- 197 ,(2005) , 10.1007/S00285-005-0319-5
Jonathan A. Sherratt, Gabriel J. Lord, Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments. Theoretical Population Biology. ,vol. 71, pp. 1- 11 ,(2007) , 10.1016/J.TPB.2006.07.009
Jacek Miȩkisz, Jan Poleszczuk, Marek Bodnar, Urszula Foryś, Stochastic Models of Gene Expression with Delayed Degradation Bulletin of Mathematical Biology. ,vol. 73, pp. 2231- 2247 ,(2011) , 10.1007/S11538-010-9622-4
N. B. Janson, A. G. Balanov, E. Schöll, Delayed Feedback as a Means of Control of Noise-Induced Motion Physical Review Letters. ,vol. 93, pp. 010601- ,(2004) , 10.1103/PHYSREVLETT.93.010601
C. A. Klausmeier, Regular and Irregular Patterns in Semiarid Vegetation Science. ,vol. 284, pp. 1826- 1828 ,(1999) , 10.1126/SCIENCE.284.5421.1826
D. Bratsun, D. Volfson, L. S. Tsimring, J. Hasty, Delay-induced stochastic oscillations in gene regulation Proceedings of the National Academy of Sciences of the United States of America. ,vol. 102, pp. 14593- 14598 ,(2005) , 10.1073/PNAS.0503858102
L. F. Lafuerza, R. Toral, Exact solution of a stochastic protein dynamics model with delayed degradation. Physical Review E. ,vol. 84, pp. 051121- ,(2011) , 10.1103/PHYSREVE.84.051121
B. D. Aguda, Y. Kim, M. G. Piper-Hunter, A. Friedman, C. B. Marsh, MicroRNA regulation of a cancer network: Consequences of the feedback loops involving miR-17-92, E2F, and Myc Proceedings of the National Academy of Sciences of the United States of America. ,vol. 105, pp. 19678- 19683 ,(2008) , 10.1073/PNAS.0811166106