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Exact travelling wave solutions of threespecies competitiondiffusion systems
Steady states in hierarchical structured populations with distributed states at birth
1.  Department of Computing Science and Mathematics, University of Stirling, Stirling, FK9 4LA, United Kingdom 
2.  Department of Mathematical Sciences, University of Wisconsin – Milwaukee, P.O. Box 413, Milwaukee, WI 532010413 
References:
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References:
[1] 
Àngel Calsina, József Z. Farkas. Boundary perturbations and steady states of structured populations. Discrete and Continuous Dynamical Systems  B, 2019, 24 (12) : 66756691. doi: 10.3934/dcdsb.2019162 
[2] 
Anton Arnold, Laurent Desvillettes, Céline Prévost. Existence of nontrivial steady states for populations structured with respect to space and a continuous trait. Communications on Pure and Applied Analysis, 2012, 11 (1) : 8396. doi: 10.3934/cpaa.2012.11.83 
[3] 
Victoria MartínMárquez, Simeon Reich, Shoham Sabach. Iterative methods for approximating fixed points of Bregman nonexpansive operators. Discrete and Continuous Dynamical Systems  S, 2013, 6 (4) : 10431063. doi: 10.3934/dcdss.2013.6.1043 
[4] 
Victoria MartínMárquez, Simeon Reich, Shoham Sabach. Iterative methods for approximating fixed points of Bregman nonexpansive operators. Discrete and Continuous Dynamical Systems  S, 2013, 6 (4) : 10431063. doi: 10.3934/dcdss.2013.6.1043 
[5] 
Inom Mirzaev, David M. Bortz. A numerical framework for computing steady states of structured population models and their stability. Mathematical Biosciences & Engineering, 2017, 14 (4) : 933952. doi: 10.3934/mbe.2017049 
[6] 
Wen Feng, Milena Stanislavova, Atanas Stefanov. On the spectral stability of ground states of semilinear Schrödinger and KleinGordon equations with fractional dispersion. Communications on Pure and Applied Analysis, 2018, 17 (4) : 13711385. doi: 10.3934/cpaa.2018067 
[7] 
Bertrand Lods, Mustapha MokhtarKharroubi, Mohammed Sbihi. Spectral properties of general advection operators and weighted translation semigroups. Communications on Pure and Applied Analysis, 2009, 8 (5) : 14691492. doi: 10.3934/cpaa.2009.8.1469 
[8] 
Damien Thomine. A spectral gap for transfer operators of piecewise expanding maps. Discrete and Continuous Dynamical Systems, 2011, 30 (3) : 917944. doi: 10.3934/dcds.2011.30.917 
[9] 
Azmy S. Ackleh, H.T. Banks, Keng Deng, Shuhua Hu. Parameter Estimation in a Coupled System of Nonlinear SizeStructured Populations. Mathematical Biosciences & Engineering, 2005, 2 (2) : 289315. doi: 10.3934/mbe.2005.2.289 
[10] 
Anna Cima, Armengol Gasull, Víctor Mañosa. Parrondo's dynamic paradox for the stability of nonhyperbolic fixed points. Discrete and Continuous Dynamical Systems, 2018, 38 (2) : 889904. doi: 10.3934/dcds.2018038 
[11] 
Qian Xu. The stability of bifurcating steady states of several classes of chemotaxis systems. Discrete and Continuous Dynamical Systems  B, 2015, 20 (1) : 231248. doi: 10.3934/dcdsb.2015.20.231 
[12] 
Yongli Cai, Yun Kang, Weiming Wang. Global stability of the steady states of an epidemic model incorporating intervention strategies. Mathematical Biosciences & Engineering, 2017, 14 (5&6) : 10711089. doi: 10.3934/mbe.2017056 
[13] 
Yan'e Wang, Jianhua Wu. Stability of positive constant steady states and their bifurcation in a biological depletion model. Discrete and Continuous Dynamical Systems  B, 2011, 15 (3) : 849865. doi: 10.3934/dcdsb.2011.15.849 
[14] 
Paula Kemp. Fixed points and complete lattices. Conference Publications, 2007, 2007 (Special) : 568572. doi: 10.3934/proc.2007.2007.568 
[15] 
John Franks, Michael Handel, Kamlesh Parwani. Fixed points of Abelian actions. Journal of Modern Dynamics, 2007, 1 (3) : 443464. doi: 10.3934/jmd.2007.1.443 
[16] 
Gerhard Rein, Christopher Straub. On the transport operators arising from linearizing the VlasovPoisson or EinsteinVlasov system about isotropic steady states. Kinetic and Related Models, 2020, 13 (5) : 933949. doi: 10.3934/krm.2020032 
[17] 
Dieter Schmidt, Lucas Valeriano. Nonlinear stability of stationary points in the problem of Robe. Discrete and Continuous Dynamical Systems  B, 2016, 21 (6) : 19171936. doi: 10.3934/dcdsb.2016029 
[18] 
Mostafa Adimy, Fabien Crauste, Laurent PujoMenjouet. On the stability of a nonlinear maturity structured model of cellular proliferation. Discrete and Continuous Dynamical Systems, 2005, 12 (3) : 501522. doi: 10.3934/dcds.2005.12.501 
[19] 
Anouar El Harrak, Amal Bergam, Tri NguyenHuu, Pierre Auger, Rachid Mchich. Application of aggregation of variables methods to a class of twotime reactiondiffusionchemotaxis models of spatially structured populations with constant diffusion. Discrete and Continuous Dynamical Systems  S, 2021, 14 (7) : 21632181. doi: 10.3934/dcdss.2021055 
[20] 
Karl Peter Hadeler. Structured populations with diffusion in state space. Mathematical Biosciences & Engineering, 2010, 7 (1) : 3749. doi: 10.3934/mbe.2010.7.37 
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