EMERGENCE OF TRAVELING PATTERN IN A PREDATOR–PREY SYSTEM

Peng Zhou (), Jingyu Wang, Xiaodong Li and Zhen Jin
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Peng Zhou: National Key Laboratory for Electronic Measurement, Technology North University of China, Taiyuan 030051, China
Jingyu Wang: National Key Laboratory for Electronic Measurement, Technology North University of China, Taiyuan 030051, China
Xiaodong Li: National Key Laboratory for Electronic Measurement, Technology North University of China, Taiyuan 030051, China
Zhen Jin: National Key Laboratory for Electronic Measurement, Technology North University of China, Taiyuan 030051, China

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 11, 1861-1870

Abstract: Spatial patterns have influence on modifying the temporal dynamics and stability properties of population densities at a range of spatial scales. Thus, in this paper, we have considered a predator-prey model taking into account both diffusion and migration. We present a theoretical analysis of the condition of emerging spatial pattern. The results of numerical simulations reveal that the migration has marked effect on the pattern formation of the population, i.e. changing Turing pattern to be traveling pattern. The obtained results show that the modeling by both migrations and diffusion can account for the dynamic complexity of ecosystems.

Keywords: Predator–prey model; migration; traveling pattern; 87.23.Cc; 89.75.Kd; 89.75.Fb; 47.54.-r (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S0129183109014783

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