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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 & 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 & 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 & Continuous Dynamical Systems  A, 2014, 34 (2) : 821841. doi: 10.3934/dcds.2014.34.821 
[5] 
Zhihua Liu, Hui Tang, Pierre Magal. Hopf bifurcation for a spatially and age structured population dynamics model. Discrete & Continuous Dynamical Systems  B, 2015, 20 (6) : 17351757. doi: 10.3934/dcdsb.2015.20.1735 
[6] 
Kimie Nakashima, WeiMing Ni, Linlin Su. An indefinite nonlinear diffusion problem in population genetics, I: Existence and limiting profiles. Discrete & Continuous Dynamical Systems  A, 2010, 27 (2) : 617641. doi: 10.3934/dcds.2010.27.617 
[7] 
Yuan Lou, WeiMing Ni, Linlin Su. An indefinite nonlinear diffusion problem in population genetics, II: Stability and multiplicity. Discrete & Continuous Dynamical Systems  A, 2010, 27 (2) : 643655. doi: 10.3934/dcds.2010.27.643 
[8] 
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 
[9] 
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 
[10] 
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 
[11] 
Long Zhang, Gao Xu, Zhidong Teng. Intermittent dispersal population model with almost period parameters and dispersal delays. Discrete & Continuous Dynamical Systems  B, 2016, 21 (6) : 20112037. doi: 10.3934/dcdsb.2016034 
[12] 
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 & Heterogeneous Media, 2015, 10 (1) : 5370. doi: 10.3934/nhm.2015.10.53 
[13] 
Masahiro Yamaguchi, Yasuhiro Takeuchi, Wanbiao Ma. Population dynamics of sea bass and young sea bass. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 833840. doi: 10.3934/dcdsb.2004.4.833 
[14] 
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 
[15] 
Alfonso RuizHerrera. Chaos in delay differential equations with applications in population dynamics. Discrete & Continuous Dynamical Systems  A, 2013, 33 (4) : 16331644. doi: 10.3934/dcds.2013.33.1633 
[16] 
Dianmo Li, Zengxiang Gao, Zufei Ma, Baoyu Xie, Zhengjun Wang. Two general models for the simulation of insect population dynamics. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 623628. doi: 10.3934/dcdsb.2004.4.623 
[17] 
Jim M. Cushing. The evolutionary dynamics of a population model with a strong Allee effect. Mathematical Biosciences & Engineering, 2015, 12 (4) : 643660. doi: 10.3934/mbe.2015.12.643 
[18] 
Hui Wan, Huaiping Zhu. A new model with delay for mosquito population dynamics. Mathematical Biosciences & Engineering, 2014, 11 (6) : 13951410. doi: 10.3934/mbe.2014.11.1395 
[19] 
B. E. Ainseba, W. E. Fitzgibbon, M. Langlais, J. J. Morgan. An application of homogenization techniques to population dynamics models. Communications on Pure & Applied Analysis, 2002, 1 (1) : 1933. doi: 10.3934/cpaa.2002.1.19 
[20] 
Chris Cosner, Andrew L. Nevai. Spatial population dynamics in a producerscrounger model. Discrete & Continuous Dynamical Systems  B, 2015, 20 (6) : 15911607. doi: 10.3934/dcdsb.2015.20.1591 
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