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Original Articles

Allee effects and population spread in patchy landscapes

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Pages 109-123 | Received 31 Mar 2014, Accepted 04 Mar 2015, Published online: 20 Apr 2015

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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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Ningkui Sun. (2023) Effect of the location of a protection zone in a reaction–diffusion model. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, pages 1-23.
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Renlong Yang, Chongming Jiang & Yuanzhi Shao. (2022) Invasiveness of a Growth-Migration System in a Two-dimensional Percolation cluster: A Stochastic Mathematical Approach. Bulletin of Mathematical Biology 84:10.
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Yifei Li, Pascal R. Buenzli & Matthew J. Simpson. (2022) Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 478:2262.
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François Hamel, Frithjof Lutscher & Mingmin Zhang. (2022) Propagation Phenomena in Periodic Patchy Landscapes with Interface Conditions. Journal of Dynamics and Differential Equations.
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Kamruzzaman Khan, Timothy M. Schaerf & Yihong Du. (2022) Effects of environmental heterogeneity on species spreading via numerical analysis of some free boundary models. Discrete and Continuous Dynamical Systems - B 0:0, pages 0.
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Arwa Abdulla Baabdulla, Hesung Now, Ju An Park, Woo-Jong Kim, Sungjune Jung, Joo-Yeon Yoo & Thomas Hillen. (2021) Homogenization of a reaction diffusion equation can explain influenza A virus load data. Journal of Theoretical Biology 527, pages 110816.
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Ningkui Sun & Chengxia Lei. (2021) Long-Time Behavior of a Reaction–Diffusion Model with Strong Allee Effect and Free Boundary: Effect of Protection Zone. Journal of Dynamics and Differential Equations.
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Frithjof Lutscher & Thomas Hillen. (2021) Correlated random walks in heterogeneous landscapes: Derivation, homogenization, and invasion fronts. AIMS Mathematics 6:8, pages 8920-8948.
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Anudeep Surendran, Michael J. Plank & Matthew J. Simpson. (2020) Population dynamics with spatial structure and an Allee effect. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476:2242, pages 20200501.
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Nazanin Zaker, Laurence Ketchemen & Frithjof Lutscher. (2019) The Effect of Movement Behavior on Population Density in Patchy Landscapes. Bulletin of Mathematical Biology 82:1.
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Gabriel Maciel, Chris Cosner, Robert Stephen Cantrell & Frithjof Lutscher. (2019) Evolutionarily stable movement strategies in reaction–diffusion models with edge behavior. Journal of Mathematical Biology 80:1-2, pages 61-92.
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Yousef Alqawasmeh & Frithjof Lutscher. (2019) Movement behaviour of fish, harvesting-induced habitat degradation and the optimal size of marine reserves. Theoretical Ecology 12:4, pages 453-466.
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Nadège Bélouard, Jean‐Marc Paillisson, Adrien Oger, Anne‐Laure Besnard & Eric J. Petit. (2019) Genetic drift during the spread phase of a biological invasion. Molecular Ecology 28:19, pages 4375-4387.
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Yan Wang, Junping Shi & Jinfeng Wang. (2019) Persistence and extinction of population in reaction–diffusion–advection model with strong Allee effect growth. Journal of Mathematical Biology 78:7, pages 2093-2140.
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Kai Du, Rui Peng & Ningkui Sun. (2019) The role of protection zone on species spreading governed by a reaction–diffusion model with strong Allee effect. Journal of Differential Equations 266:11, pages 7327-7356.
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Yousef Alqawasmeh & Frithjof Lutscher. (2019) Persistence and spread of stage-structured populations in heterogeneous landscapes. Journal of Mathematical Biology 78:5, pages 1485-1527.
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Jane S. MacDonald & Frithjof Lutscher. (2018) Individual behavior at habitat edges may help populations persist in moving habitats. Journal of Mathematical Biology 77:6-7, pages 2049-2077.
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Thibaut Morel-Journel, Maud Hautier, Elodie Vercken & Ludovic Mailleret. (2018) Clustered or scattered? The impact of habitat quality clustering on establishment and early spread. Ecography 41:10, pages 1675-1683.
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Gabriel Andreguetto Maciel & Frithjof Lutscher. (2018) Movement behaviour determines competitive outcome and spread rates in strongly heterogeneous landscapes. Theoretical Ecology 11:3, pages 351-365.
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James Dowdall, Victor LeBlanc & Frithjof Lutscher. (2017) Invasion pinning in a periodically fragmented habitat. Journal of Mathematical Biology 77:1, pages 55-78.
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Brian P. Yurk. (2017) Homogenization analysis of invasion dynamics in heterogeneous landscapes with differential bias and motility. Journal of Mathematical Biology 77:1, pages 27-54.
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Kohkichi Kawasaki, Nanako Shigesada & Mamiko Iinuma. (2017) Effects of long-range taxis and population pressure on the range expansion of invasive species in heterogeneous environments. Theoretical Ecology 10:3, pages 269-286.
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Frithjof Lutscher & Jeffrey A. Musgrave. (2017) Behavioral responses to resource heterogeneity can accelerate biological invasions. Ecology 98:5, pages 1229-1238.
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Enock O. Menge, Michele Lisa Greenfield, Cameron A. McConchie, Sean M. Bellairs & Michael J. Lawes. (2017) Density-dependent reproduction and pollen limitation in an invasive milkweed, Calotropis procera (Ait.) R. Br. (Apocynaceae) . Austral Ecology 42:1, pages 61-71.
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Ceres Barros, Stephen C. F. Palmer, Greta Bocedi & Justin M. J. Travis. (2016) Spread rates on fragmented landscapes: the interacting roles of demography, dispersal and habitat availability. Diversity and Distributions 22:12, pages 1266-1275.
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Jeffrey Musgrave, Alexandre Girard & Frithjof Lutscher. (2015) Population spread in patchy landscapes under a strong Allee effect. Theoretical Ecology 8:3, pages 313-326.
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