“捕食者-猎物”动态系统的间隔扰动

S. Baranovskii, A. Bomba
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摘要

考虑了个体在空间上扩散和迁移的因素,建立了“捕食者-猎物”种群相互作用的数学模型。当扩散和迁移分量相对于过程的其他分量较小时,建议用渐近级数来寻找奇异摄动模型问题的解
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Spaced perturbations of “predator-prey” dynamic systems
A mathematical model of “predator-prey” population interactions with regard to diffusive and migratory factors of individuals’ dispersal in space is considered. In case the diffusive and migratory constituents are small as compared to other constituents of the process, it is suggested to search for the solution of a singular perturbed model problem in terms of asymptotical series 
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