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Journal of Biological Dynamics Volume 3, 2009 - Issue 1
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Original Articles

Derivation of stochastic partial differential equations for size- and age-structured populations

Edward J. Allen Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX, USACorrespondence[email protected]
Pages 73-86 | Received 02 Jan 2008, Published online: 10 Nov 2008

Citations (20)

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Read on this site (9)

E. J. Allen. (2019) An SDE model for deterioration of rock surfaces. Stochastic Analysis and Applications 37:6, pages 1012-1027.
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Hidekazu Yoshioka. (2019) A simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity. Journal of Biological Dynamics 13:1, pages 148-176.
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Hidekazu Yoshioka & Yuta Yaegashi. (2018) Singular stochastic control model for algae growth management in dam downstream. Journal of Biological Dynamics 12:1, pages 242-270.
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Elife Dogan-Ciftci & Edward J. Allen. (2014) Derivation of Several SDE Systems in One- and Two-Locus Population Genetics. Stochastic Analysis and Applications 32:5, pages 761-775.
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D.V. Politikos, C.D. Maravelias & D.E. Tzanetis. (2013) Assessing the risk of alternative management strategies in a Mediterranean fishery: protecting the younger vs reducing fishing effort. Journal of Biological Dynamics 7:1, pages 183-198.
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E. J. Allen. (2012) Stochastic difference equations and a stochastic partial differential equation for neutron transport. Journal of Difference Equations and Applications 18:8, pages 1267-1285.
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Ummugul Bulut & EdwardJ. Allen. (2012) Derivation of SPDEs for Correlated Random Walk Transport Models in One and Two Dimensions. Stochastic Analysis and Applications 30:4, pages 553-567.
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Elife Dogan & EdwardJ. Allen. (2011) Derivation of Stochastic Partial Differential Equations for Reaction-Diffusion Processes. Stochastic Analysis and Applications 29:3, pages 424-443.
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Azmy S. Ackleh, Keng Deng & Qihua Huang. (2011) Stochastic juvenile–adult models with application to a green tree frog population. Journal of Biological Dynamics 5:1, pages 64-83.
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Articles from other publishers (11)

Nikola Konatar. (2022) Uniqueness for stochastic scalar conservation laws on Riemannian manifolds revisited. Filomat 36:5, pages 1615-1634.
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Gianni Gilioli, Pierluigi Colli, Michele Colturato, Paola Gervasio & Giorgio Sperandio. (2021) A nonlinear model for stage-structured population dynamics with nonlocal density-dependent regulation: An application to the fall armyworm moth. Mathematical Biosciences 335, pages 108573.
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Arcady Ponosov, Lev Idels & Ramazan Kadiev. (2020) Stochastic McKendrick–Von Foerster models with applications. Physica A: Statistical Mechanics and its Applications 537, pages 122641.
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Anuj Mubayi, Christopher Kribs, Viswanathan Arunachalam & Carlos Castillo-Chavez. 2019. Integrated Population Biology and Modeling, Part B. Integrated Population Biology and Modeling, Part B 157 193 .
Arran Hodgkinson, Mark A. J. Chaplain, Pia Domschke & Dumitru Trucu. (2018) Computational Approaches and Analysis for a Spatio-Structural-Temporal Invasive Carcinoma Model. Bulletin of Mathematical Biology 80:4, pages 701-737.
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Pia Domschke, Dumitru Trucu, Alf Gerisch & Mark A. J. Chaplain. (2017) Structured models of cell migration incorporating molecular binding processes. Journal of Mathematical Biology 75:6-7, pages 1517-1561.
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Christian Kuehn & Andreas Widder. (2016) Heterogeneous population dynamics and scaling laws near epidemic outbreaks. Mathematical Biosciences and Engineering 13:5, pages 1093-1118.
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Martine Ben Amar & Carlo Bianca. (2016) Towards a unified approach in the modeling of fibrosis: A review with research perspectives. Physics of Life Reviews 17, pages 61-85.
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Ryo Oizumi. (2014) Unification Theory of Optimal Life Histories and Linear Demographic Models in Internal Stochasticity. PLoS ONE 9:6, pages e98746.
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. 2014. Effective Dynamics of Stochastic Partial Differential Equations. Effective Dynamics of Stochastic Partial Differential Equations 257 270 .
Ryo Oizumi & Takenori Takada. (2013) Optimal life schedule with stochastic growth in age-size structured models: Theory and an application. Journal of Theoretical Biology 323, pages 76-89.
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