Protection Zones in Periodic-Parabolic Problems
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AbstractThis paper characterizes whether or not\Sigma_{\infty}\equiv\lim_{\lambda\uparrow\infty}\sigma[\mathcal{P}+\lambda m(% x,t),\mathfrak{B},Q_{T}]is finite, where {m\gneq 0} is T-periodic and {\sigma[\mathcal{P}+\lambda m(x,t),\mathfrak{B},Q_{T}]} stands for the principal eigenvalue of the parabolic operator {\mathcal{P}+\lambda m(x,t)} in {Q_{T}\equiv\Omega\times[0,T]} subject to a general boundary operator of mixed type, {\mathfrak{B}}, on {\partial\Omega\times[0,T]}. Then this result is applied to discuss the nature of the territorial refuges in periodic competitive environments.
2008 ◽
Vol 188
(2)
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pp. 269-295
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2006 ◽
Vol 6
(1-4)
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pp. 39-55
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1984 ◽
Vol 9
(9)
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pp. 919-941
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2019 ◽
Vol 147
(12)
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pp. 5291-5302
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