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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 7: Analysis and Applications of PDEs in Biomathematics
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Original Articles

Nonlocal dispersal and averaging in heterogeneous landscapes

Frithjof Lutscher Department of Mathematics and Statistics, University of Ottawa, 585 King Edward Avenue, Ottawa, ON, K1N 6N5, CanadaCorrespondence[email protected]
Pages 1091-1108 | Received 29 Sep 2009, Accepted 29 Jan 2010, Published online: 15 Jun 2010

Citations (12)

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Read on this site (2)

Brian P. Yurk & Christina A. Cobbold. (2018) Homogenization techniques for population dynamics in strongly heterogeneous landscapes. Journal of Biological Dynamics 12:1, pages 171-193.
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Gabriel Andreguetto Maciel & Frithjof Lutscher. (2015) Allee effects and population spread in patchy landscapes. Journal of Biological Dynamics 9:1, pages 109-123.
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Articles from other publishers (10)

Tim W. R. Möhlmann, Matt J. Keeling, Uno Wennergren, Guido Favia, Inge Santman-Berends, Willem Takken, Constantianus J. M. Koenraadt & Samuel P. C. Brand. (2021) Biting midge dynamics and bluetongue transmission: a multiscale model linking catch data with climate and disease outbreaks. Scientific Reports 11:1.
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Weixin Wu, Long Zhang & Zhidong Teng. (2020) Wave propagation in a nonlocal dispersal SIR epidemic model with nonlinear incidence and nonlocal distributed delays. Journal of Mathematical Physics 61:6.
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Mohd Hafiz Mohd, Rua Murray, Michael J. Plank & William Godsoe. (2018) Effects of different dispersal patterns on the presence-absence of multiple species. Communications in Nonlinear Science and Numerical Simulation 56, pages 115-130.
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Jonathan A. Sherratt. (2016) Invasion Generates Periodic Traveling Waves (Wavetrains) in Predator-Prey Models with Nonlocal Dispersal. SIAM Journal on Applied Mathematics 76:1, pages 293-313.
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Marina Chugunova, Baasansuren Jadamba, Chiu-Yen Kao, Christine Klymko, Evelyn Thomas & Bingyu Zhao. 2016. Topics in Numerical Partial Differential Equations and Scientific Computing. Topics in Numerical Partial Differential Equations and Scientific Computing 51 77 .
Josie S. Hughes, Christina A. Cobbold, Kyle Haynes & Greg Dwyer. (2015) Effects of Forest Spatial Structure on Insect Outbreaks: Insights from a Host-Parasitoid Model. The American Naturalist 185:5, pages E130-E152.
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Christopher Strickland, Gerhard Dangelmayr & Patrick D. Shipman. (2013) Modeling the presence probability of invasive plant species with nonlocal dispersal. Journal of Mathematical Biology 69:2, pages 267-294.
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Shangbing Ai & Reem Albashaireh. (2014) Traveling Waves in Spatial SIRS Models. Journal of Dynamics and Differential Equations 26:1, pages 143-164.
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Jonathan A. Sherratt. (2014) Periodic Traveling Waves in Integrodifferential Equations for Nonlocal Dispersal. SIAM Journal on Applied Dynamical Systems 13:4, pages 1517-1541.
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Chiu-Yen Kao, Yuan Lou & Wenxian Shen. (2012) Evolution of mixed dispersal in periodic environments. Discrete and Continuous Dynamical Systems - Series B 17:6, pages 2047-2072.
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