Non-cooperative Fisher–KPP systems: Asymptotic behavior of traveling waves
2018 ◽
Vol 28
(06)
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pp. 1067-1104
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Keyword(s):
This paper is concerned with non-cooperative parabolic reaction–diffusion systems which share structural similarities with the scalar Fisher–KPP equation. In a previous paper, we established that these systems admit traveling wave solutions whose profiles connect the null state to a compact subset of the positive cone. The main object of this paper is the investigation of a more precise description of these profiles. Non-cooperative KPP systems can model various phenomena where the following three mechanisms occur: local diffusion in space, linear cooperation and superlinear competition.
2011 ◽
Vol 91
(10)
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pp. 809-823
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2012 ◽
Vol 252
(9)
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pp. 4842-4861
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2016 ◽
Vol 19
(5)
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pp. 1461-1472
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2010 ◽
Vol 233
(10)
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pp. 2549-2562
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1990 ◽
Vol 21
(1)
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pp. 85-122
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2010 ◽
Vol 13
(2)
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pp. 393-414
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1983 ◽
pp. 189-208
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