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An asymptotic analysis of the persistence threshold for the diffusive logistic model in spatial environments with localized patches
1.  Mathematics Department, University of British Columbia, Vancouver, B.C., Canada 
2.  Mathematics Department, University of British Columbia, Vancouver, B.C. V6T 1Z2, Canada 
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David Hoff. Pointwise bounds for the Green's function for the NeumannLaplace operator in $ \text{R}^3 $. Kinetic & Related Models, , () : . doi: 10.3934/krm.2021037 
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Hasib Khan, Cemil Tunc, Aziz Khan. Green function's properties and existence theorems for nonlinear singulardelayfractional differential equations. Discrete & Continuous Dynamical Systems  S, 2020, 13 (9) : 24752487. doi: 10.3934/dcdss.2020139 
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Seick Kim, Longjuan Xu. Green's function for second order parabolic equations with singular lower order coefficients. Communications on Pure & Applied Analysis, 2022, 21 (1) : 121. doi: 10.3934/cpaa.2021164 
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Peter Bella, Arianna Giunti. Green's function for elliptic systems: Moment bounds. Networks & Heterogeneous Media, 2018, 13 (1) : 155176. doi: 10.3934/nhm.2018007 
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Virginia Agostiniani, Rolando Magnanini. Symmetries in an overdetermined problem for the Green's function. Discrete & Continuous Dynamical Systems  S, 2011, 4 (4) : 791800. doi: 10.3934/dcdss.2011.4.791 
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Jeremiah Birrell. A posteriori error bounds for two point boundary value problems: A green's function approach. Journal of Computational Dynamics, 2015, 2 (2) : 143164. doi: 10.3934/jcd.2015001 
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Wenming He, Junzhi Cui. The estimate of the multiscale homogenization method for Green's function on Sobolev space $W^{1,q}(\Omega)$. Communications on Pure & Applied Analysis, 2012, 11 (2) : 501516. doi: 10.3934/cpaa.2012.11.501 
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Jongkeun Choi, KiAhm Lee. The Green function for the Stokes system with measurable coefficients. Communications on Pure & Applied Analysis, 2017, 16 (6) : 19892022. doi: 10.3934/cpaa.2017098 
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Anna Chiara Lai, Paola Loreti. Robot's finger and expansions in noninteger bases. Networks & Heterogeneous Media, 2012, 7 (1) : 71111. doi: 10.3934/nhm.2012.7.71 
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Sigurd Angenent. Formal asymptotic expansions for symmetric ancient ovals in mean curvature flow. Networks & Heterogeneous Media, 2013, 8 (1) : 18. doi: 10.3934/nhm.2013.8.1 
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Danilo Costarelli, Gianluca Vinti. Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators. Mathematical Foundations of Computing, 2020, 3 (1) : 4150. doi: 10.3934/mfc.2020004 
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Jiahui Yu, Konstantinos Spiliopoulos. Normalization effects on shallow neural networks and related asymptotic expansions. Foundations of Data Science, 2021, 3 (2) : 151200. doi: 10.3934/fods.2021013 
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ZhiMin Chen. Straightforward approximation of the translating and pulsating free surface Green function. Discrete & Continuous Dynamical Systems  B, 2014, 19 (9) : 27672783. doi: 10.3934/dcdsb.2014.19.2767 
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Claudia Bucur. Some observations on the Green function for the ball in the fractional Laplace framework. Communications on Pure & Applied Analysis, 2016, 15 (2) : 657699. doi: 10.3934/cpaa.2016.15.657 
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Kin Ming Hui, Sunghoon Kim. Existence of Neumann and singular solutions of the fast diffusion equation. Discrete & Continuous Dynamical Systems, 2015, 35 (10) : 48594887. doi: 10.3934/dcds.2015.35.4859 
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