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On the existence of traveling wave solutions and upper and lower bounds for some Fisher-iolmogorov type equations 被引量:1

On the existence of traveling wave solutions and upper and lower bounds for some Fisher-iolmogorov type equations
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摘要 In this paper, we use a dynamical systems approach to prove the existence of traveling waves solutions for the Fisher-Kolmogorov density-dependent equation. Moreover, we prove the existence of upper and lower bounds for these traveling wave solutions found previously. Finally, we present a particular example which has several applications in the mathematical biology field.
出处 《International Journal of Biomathematics》 2014年第5期51-65,共15页 生物数学学报(英文版)
关键词 Fisher-Kolmogorov equations nonlinear diffusion heteroclinic orbits upperand lower solutions center manifold. 行波解 下限 上限 方程 v型 柯尔莫哥洛夫 生物学领域 密度依赖
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