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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 
[1] 
Hasib Khan, Cemil Tunc, Aziz Khan. Green function's properties and existence theorems for nonlinear singulardelayfractional differential equations. Discrete & Continuous Dynamical Systems  S, 2018, 0 (0) : 00. doi: 10.3934/dcdss.2020139 
[2] 
Peter Bella, Arianna Giunti. Green's function for elliptic systems: Moment bounds. Networks & Heterogeneous Media, 2018, 13 (1) : 155176. doi: 10.3934/nhm.2018007 
[3] 
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 
[4] 
Sungwon Cho. Alternative proof for the existence of Green's function. Communications on Pure & Applied Analysis, 2011, 10 (4) : 13071314. doi: 10.3934/cpaa.2011.10.1307 
[5] 
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 
[6] 
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 
[7] 
Kyoungsun Kim, Gen Nakamura, Mourad Sini. The Green function of the interior transmission problem and its applications. Inverse Problems & Imaging, 2012, 6 (3) : 487521. doi: 10.3934/ipi.2012.6.487 
[8] 
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 
[9] 
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 
[10] 
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 
[11] 
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 
[12] 
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 
[13] 
Fioralba Cakoni, Shari Moskow, Scott Rome. Asymptotic expansions of transmission eigenvalues for small perturbations of media with generally signed contrast. Inverse Problems & Imaging, 2018, 12 (4) : 971992. doi: 10.3934/ipi.2018041 
[14] 
Lijun Zhang, Yixia Shi, Maoan Han. Smooth and singular traveling wave solutions for the SerreGreenNaghdi equations. Discrete & Continuous Dynamical Systems  S, 2018, 0 (0) : 00. doi: 10.3934/dcdss.2020217 
[15] 
ChiuYa Lan, HueyEr Lin, ShihHsien Yu. The Green's functions for the Broadwell Model in a half space problem. Networks & Heterogeneous Media, 2006, 1 (1) : 167183. doi: 10.3934/nhm.2006.1.167 
[16] 
Lei Qiao. Asymptotic behaviors of GreenSch potentials at infinity and its applications. Discrete & Continuous Dynamical Systems  B, 2017, 22 (6) : 23212338. doi: 10.3934/dcdsb.2017099 
[17] 
Kin Ming Hui, Sunghoon Kim. Existence of Neumann and singular solutions of the fast diffusion equation. Discrete & Continuous Dynamical Systems  A, 2015, 35 (10) : 48594887. doi: 10.3934/dcds.2015.35.4859 
[18] 
YueJun Peng, Shu Wang. Asymptotic expansions in twofluid compressible EulerMaxwell equations with small parameters. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 415433. doi: 10.3934/dcds.2009.23.415 
[19] 
Matthieu Alfaro, Hiroshi Matano. On the validity of formal asymptotic expansions in AllenCahn equation and FitzHughNagumo system with generic initial data. Discrete & Continuous Dynamical Systems  B, 2012, 17 (6) : 16391649. doi: 10.3934/dcdsb.2012.17.1639 
[20] 
Agnieszka Badeńska. No entire function with real multipliers in class $\mathcal{S}$. Discrete & Continuous Dynamical Systems  A, 2013, 33 (8) : 33213327. doi: 10.3934/dcds.2013.33.3321 
2018 Impact Factor: 1.008
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