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Food web dynamics in a seasonally varying wetland
Modeling frequencydependent selection with an application to cichlid fish
1.  Interdisciplinary Program in Applied Mathematics, 617 N Santa Rita, University of Arizona, Tucson AZ 85721, United States 
2.  Department of Mathematics, Interdisciplinary Program in Applied Mathematics, 617 N Santa Rita, University of Arizona, Tucson AZ 85721, United States 
[1] 
Reinhard Bürger. A survey of migrationselection models in population genetics. Discrete and Continuous Dynamical Systems  B, 2014, 19 (4) : 883959. doi: 10.3934/dcdsb.2014.19.883 
[2] 
Zhilan Feng, Carlos CastilloChavez. The influence of infectious diseases on population genetics. Mathematical Biosciences & Engineering, 2006, 3 (3) : 467483. doi: 10.3934/mbe.2006.3.467 
[3] 
Bedr'Eddine Ainseba. Agedependent population dynamics diffusive systems. Discrete and Continuous Dynamical Systems  B, 2004, 4 (4) : 12331247. doi: 10.3934/dcdsb.2004.4.1233 
[4] 
Peng Zhou, Jiang Yu, Dongmei Xiao. A nonlinear diffusion problem arising in population genetics. Discrete and Continuous Dynamical Systems, 2014, 34 (2) : 821841. doi: 10.3934/dcds.2014.34.821 
[5] 
Kimie Nakashima. Indefinite nonlinear diffusion problem in population genetics. Discrete and Continuous Dynamical Systems, 2020, 40 (6) : 38373855. doi: 10.3934/dcds.2020169 
[6] 
Attila Dénes, Gergely Röst. Single species population dynamics in seasonal environment with short reproduction period. Communications on Pure and Applied Analysis, 2021, 20 (2) : 755762. doi: 10.3934/cpaa.2020288 
[7] 
Zhihua Liu, Hui Tang, Pierre Magal. Hopf bifurcation for a spatially and age structured population dynamics model. Discrete and Continuous Dynamical Systems  B, 2015, 20 (6) : 17351757. doi: 10.3934/dcdsb.2015.20.1735 
[8] 
Shangzhi Li, Shangjiang Guo. Dynamics of a stagestructured population model with a statedependent delay. Discrete and Continuous Dynamical Systems  B, 2020, 25 (9) : 35233551. doi: 10.3934/dcdsb.2020071 
[9] 
Kimie Nakashima, WeiMing Ni, Linlin Su. An indefinite nonlinear diffusion problem in population genetics, I: Existence and limiting profiles. Discrete and Continuous Dynamical Systems, 2010, 27 (2) : 617641. doi: 10.3934/dcds.2010.27.617 
[10] 
Yuan Lou, WeiMing Ni, Linlin Su. An indefinite nonlinear diffusion problem in population genetics, II: Stability and multiplicity. Discrete and Continuous Dynamical Systems, 2010, 27 (2) : 643655. doi: 10.3934/dcds.2010.27.643 
[11] 
Andrea Caravaggio, Luca Gori, Mauro Sodini. Population dynamics and economic development. Discrete and Continuous Dynamical Systems  B, 2021, 26 (11) : 58275848. doi: 10.3934/dcdsb.2021178 
[12] 
Julián LópezGómez, Marcela MolinaMeyer, Andrea Tellini. Intricate bifurcation diagrams for a class of onedimensional superlinear indefinite problems of interest in population dynamics. Conference Publications, 2013, 2013 (special) : 515524. doi: 10.3934/proc.2013.2013.515 
[13] 
Denis Gaidashev, Tomas Johnson. Dynamics of the universal areapreserving map associated with perioddoubling: Stable sets. Journal of Modern Dynamics, 2009, 3 (4) : 555587. doi: 10.3934/jmd.2009.3.555 
[14] 
Sebastian Aniţa, AnaMaria Moşsneagu. Optimal harvesting for agestructured population dynamics with sizedependent control. Mathematical Control and Related Fields, 2019, 9 (4) : 607621. doi: 10.3934/mcrf.2019043 
[15] 
Wei Feng, Xin Lu, Richard John Donovan Jr.. Population dynamics in a model for territory acquisition. Conference Publications, 2001, 2001 (Special) : 156165. doi: 10.3934/proc.2001.2001.156 
[16] 
Luca GerardoGiorda, Pierre Magal, Shigui Ruan, Ousmane Seydi, Glenn Webb. Preface: Population dynamics in epidemiology and ecology. Discrete and Continuous Dynamical Systems  B, 2020, 25 (6) : iii. doi: 10.3934/dcdsb.2020125 
[17] 
Long Zhang, Gao Xu, Zhidong Teng. Intermittent dispersal population model with almost period parameters and dispersal delays. Discrete and Continuous Dynamical Systems  B, 2016, 21 (6) : 20112037. doi: 10.3934/dcdsb.2016034 
[18] 
Juan Manuel Pastor, Javier GarcíaAlgarra, Javier Galeano, José María Iriondo, José J. Ramasco. A simple and bounded model of population dynamics for mutualistic networks. Networks and Heterogeneous Media, 2015, 10 (1) : 5370. doi: 10.3934/nhm.2015.10.53 
[19] 
Masahiro Yamaguchi, Yasuhiro Takeuchi, Wanbiao Ma. Population dynamics of sea bass and young sea bass. Discrete and Continuous Dynamical Systems  B, 2004, 4 (3) : 833840. doi: 10.3934/dcdsb.2004.4.833 
[20] 
MirosŁaw Lachowicz, Tatiana Ryabukha. Equilibrium solutions for microscopic stochastic systems in population dynamics. Mathematical Biosciences & Engineering, 2013, 10 (3) : 777786. doi: 10.3934/mbe.2013.10.777 
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