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Journal of Biological Dynamics Volume 6, 2012 - Issue 2

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Original Articles

Effect of resource subsidies on predator–prey population dynamics: a mathematical model

Andrew L. Nevai Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USACorrespondence[email protected]

Robert A. Van Gorder Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA

Pages 891-922 | Received 04 Nov 2011, Accepted 17 Feb 2012, Published online: 26 Apr 2012

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https://doi.org/10.1080/17513758.2012.677485

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Mostafa Abbaszadeh, AliReza Bagheri Salec & Afaq Salman Alwan. (2023) Simulation of predator–prey system with two-species, two chemicals and an additional chemotactic influence via direct meshless local Petrov–Galerkin method. International Journal of Numerical Methods for Heat & Fluid Flow.
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William Grace. (2022) Ecological dynamics, resilience and sustainability. Total Environment Research Themes 3-4, pages 100011.
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Paige Van de Vuurst, Seth A Moore, Edmund J Isaac, Yvette Chenaux-Ibrahim, Tiffany M Wolf & Luis E Escobar. (2022) Reconstructing landscapes of ungulate parturition and predation using vegetation phenology. Current Zoology 68:3, pages 275-283.
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Amartya Das & G. P. Samanta. (2021) Modelling the effect of resource subsidy on a two-species predator-prey system under the influence of environmental noises. International Journal of Dynamics and Control 9:4, pages 1800-1817.
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Sudeshna Mondal, G. P. Samanta & Juan J. Nieto. (2021) Dynamics of a Predator-Prey Population in the Presence of Resource Subsidy under the Influence of Nonlinear Prey Refuge and Fear Effect. Complexity 2021, pages 1-38.
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Alexandra Terekhina, Alexander Volkovitskiy, Natalia Sokolova, Dorothee Ehrich, Ivan Fufachev & Aleksandr Sokolov. (2021) The context of an emerging predation problem: Nenets reindeer herders and Arctic foxes in Yamal. European Journal of Wildlife Research 67:3.
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Mingjing Du, Pengfei Ning & Yulan Wang. (2020) Numerical Solution of a Class of Predator-Prey Systems with Complex Dynamics Characters Based on a Sinc Function Interpolation Collocation Method. Complexity 2020, pages 1-34.
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Yifang Xu, Andrew L. Krause & Robert A. Van Gorder. (2020) Generalist predator dynamics under kolmogorov versus non-Kolmogorov models. Journal of Theoretical Biology 486, pages 110060.
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Yuxiao Guo, Nannan Ji & Ben Niu. (2019) Hopf bifurcation analysis in a predator–prey model with time delay and food subsidies. Advances in Difference Equations 2019:1.
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Zhi Zhou & Robert A. Van Gorder. (2019) Turing Instability and Colony Formation in Spatially Extended Rosenzweig–MacArthur Predator–Prey Models with Allochthonous Resources. Bulletin of Mathematical Biology 81:12, pages 5009-5053.
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Arzoo Narang, Subhendu Bhandary, Taranjot Kaur, Anubhav Gupta, Tanmoy Banerjee & Partha Sharathi Dutta. (2019) Long-range dispersal promotes species persistence in climate extremes. Chaos: An Interdisciplinary Journal of Nonlinear Science 29:10.
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Elizabeth F. Fussell, Andrew L. Krause & Robert A. Van Gorder. (2019) Hybrid approach to modeling spatial dynamics of systems with generalist predators. Journal of Theoretical Biology 462, pages 26-47.
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Péter Bayer, Joel S. Brown & Kateřina Staňková. (2018) A two-phenotype model of immune evasion by cancer cells. Journal of Theoretical Biology 455, pages 191-204.
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Ragna M. Eide, Andrew L. Krause, Nabil T. Fadai & Robert A. Van Gorder. (2018) Predator-prey-subsidy population dynamics on stepping-stone domains with dispersal delays. Journal of Theoretical Biology 451, pages 19-34.
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Joanneke E. Jansen & Robert A. Van Gorder. (2017) Dynamics from a predator-prey-quarry-resource-scavenger model. Theoretical Ecology 11:1, pages 19-38.
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Lawrence Kurowski, Andrew L. Krause, Hanako Mizuguchi, Peter Grindrod & Robert A. Van Gorder. (2017) Two-Species Migration and Clustering in Two-Dimensional Domains. Bulletin of Mathematical Biology 79:10, pages 2302-2333.
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Alastair Bassett, Andrew L. Krause & Robert A. Van Gorder. (2017) Continuous dispersal in a model of predator–prey-subsidy population dynamics. Ecological Modelling 354, pages 115-122.
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Lulan Shen & Robert A. Van Gorder. (2017) Predator–prey–subsidy population dynamics on stepping-stone domains. Journal of Theoretical Biology 420, pages 241-258.
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Dorian Levy, Heather A. Harrington & Robert A. Van Gorder. (2016) Role of seasonality on predator–prey–subsidy population dynamics. Journal of Theoretical Biology 396, pages 163-181.
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Runxin Wu & Lin Li. (2013) Permanence and Global Attractivity of the Discrete Predator-Prey System with Hassell-Varley-Holling III Type Functional Response. Discrete Dynamics in Nature and Society 2013, pages 1-9.
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Effect of resource subsidies on predator–prey population dynamics: a mathematical model

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Effect of resource subsidies on predator–prey population dynamics: a mathematical model

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