Title:
Convergence in Almost Periodic Fisher and Kolmogorov Models
Convergence in Almost Periodic Fisher and Kolmogorov Models
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Author(s)
Shen, Wenxian
Yi, Yingfei
Yi, Yingfei
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Abstract
We study convergence of positive solutions for almost periodic reaction diffusion equations of Fisher or Kolmogorov type. It is proved that under suitable conditions every positive solution is asymptotically almost periodic. Moreover, all positive almost periodic solutions are harmonic and uniformly stable, and if one of them is spatially homogeneous, then so are others. The existence of an almost periodic global attractor is also discussed.
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The first author is partially supported by NSF grant DMS-9402945. The second author is partially supported by NSF grant DMS-9501412.
Date Issued
1996
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