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Competition in periodic media: III -- Existence \& stability of segregated periodic coexistence states. (arXiv:1803.00774v2 [math.AP] UPDATED)
来源于:arXiv
In this paper we consider a system of parabolic reaction-diffusion equations
with strong competition and two related scalar reaction-diffusion equations. We
are mainly concerned with the case of periodic coefficients and periodic
solutions. We show that, for sufficiently large periods, these models have
stationary, non-constant, fully non-trivial and stable solutions. We compare
our results with already known results about the existence and non-existence of
such solutions. Finally, we provide ecological interpretations for these
results in terms of resistance against an invasion. 查看全文>>