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Is there a sigmoid growth of Gause's Paramecium caudatum in constant environment
1.  The National Laboratory of Integrated Management of Insect and Rodent Pests in Agriculture, Institute of Zoology, Chinese Academy of Sciences Beijing 100080 
[1] 
Yuri Kifer. Ergodic theorems for nonconventional arrays and an extension of the Szemerédi theorem. Discrete & Continuous Dynamical Systems  A, 2018, 38 (6) : 26872716. doi: 10.3934/dcds.2018113 
[2] 
Guy V. Norton, Robert D. Purrington. The Westervelt equation with a causal propagation operator coupled to the bioheat equation.. Evolution Equations & Control Theory, 2016, 5 (3) : 449461. doi: 10.3934/eect.2016013 
[3] 
Feng Qi, BaiNi Guo. Completely monotonic functions involving divided differences of the di and trigamma functions and some applications. Communications on Pure & Applied Analysis, 2009, 8 (6) : 19751989. doi: 10.3934/cpaa.2009.8.1975 
[4] 
Thierry Horsin, Peter I. Kogut, Olivier Wilk. Optimal $L^2$control problem in coefficients for a linear elliptic equation. II. Approximation of solutions and optimality conditions. Mathematical Control & Related Fields, 2016, 6 (4) : 595628. doi: 10.3934/mcrf.2016017 
[5] 
Sebastián Ferrer, Martin Lara. Families of canonical transformations by HamiltonJacobiPoincaré equation. Application to rotational and orbital motion. Journal of Geometric Mechanics, 2010, 2 (3) : 223241. doi: 10.3934/jgm.2010.2.223 
[6] 
Manuel de León, Juan Carlos Marrero, David Martín de Diego. Linear almost Poisson structures and HamiltonJacobi equation. Applications to nonholonomic mechanics. Journal of Geometric Mechanics, 2010, 2 (2) : 159198. doi: 10.3934/jgm.2010.2.159 
[7] 
Thierry Horsin, Peter I. Kogut. Optimal $L^2$control problem in coefficients for a linear elliptic equation. I. Existence result. Mathematical Control & Related Fields, 2015, 5 (1) : 7396. doi: 10.3934/mcrf.2015.5.73 
[8] 
Matteo Costantini, André Kappes. The equation of the KenyonSmillie (2, 3, 4)Teichmüller curve. Journal of Modern Dynamics, 2017, 11: 1741. doi: 10.3934/jmd.2017002 
[9] 
Atul Narang, Sergei S. Pilyugin. Toward an Integrated Physiological Theory of Microbial Growth: From Subcellular Variables to Population Dynamics. Mathematical Biosciences & Engineering, 2005, 2 (1) : 169206. doi: 10.3934/mbe.2005.2.169 
[10] 
Frédérique Billy, Jean Clairambault, Franck Delaunay, Céline Feillet, Natalia Robert. Agestructured cell population model to study the influence of growth factors on cell cycle dynamics. Mathematical Biosciences & Engineering, 2013, 10 (1) : 117. doi: 10.3934/mbe.2013.10.1 
[11] 
Linfeng Mei, Wei Dong, Changhe Guo. Concentration phenomenon in a nonlocal equation modeling phytoplankton growth. Discrete & Continuous Dynamical Systems  B, 2015, 20 (2) : 587597. doi: 10.3934/dcdsb.2015.20.587 
[12] 
J. Leonel Rocha, Sandra M. Aleixo. Dynamical analysis in growth models: Blumberg's equation. Discrete & Continuous Dynamical Systems  B, 2013, 18 (3) : 783795. doi: 10.3934/dcdsb.2013.18.783 
[13] 
Viktor I. Gerasimenko, Igor V. Gapyak. Hard sphere dynamics and the Enskog equation. Kinetic & Related Models, 2012, 5 (3) : 459484. doi: 10.3934/krm.2012.5.459 
[14] 
Proscovia Namayanja. Chaotic dynamics in a transport equation on a network. Discrete & Continuous Dynamical Systems  B, 2018, 23 (8) : 34153426. doi: 10.3934/dcdsb.2018283 
[15] 
Genni Fragnelli, A. Idrissi, L. Maniar. The asymptotic behavior of a population equation with diffusion and delayed birth process. Discrete & Continuous Dynamical Systems  B, 2007, 7 (4) : 735754. doi: 10.3934/dcdsb.2007.7.735 
[16] 
Jitendra Kumar, Gurmeet Kaur, Evangelos Tsotsas. An accurate and efficient discrete formulation of aggregation population balance equation. Kinetic & Related Models, 2016, 9 (2) : 373391. doi: 10.3934/krm.2016.9.373 
[17] 
Abdelaziz Rhandi, Roland Schnaubelt. Asymptotic behaviour of a nonautonomous population equation with diffusion in $L^1$. Discrete & Continuous Dynamical Systems  A, 1999, 5 (3) : 663683. doi: 10.3934/dcds.1999.5.663 
[18] 
Yuanxian Hui, Genghong Lin, Jianshe Yu, Jia Li. A delayed differential equation model for mosquito population suppression with sterile mosquitoes. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 00. doi: 10.3934/dcdsb.2020118 
[19] 
Sergey Zelik. Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent. Communications on Pure & Applied Analysis, 2004, 3 (4) : 921934. doi: 10.3934/cpaa.2004.3.921 
[20] 
Michael Scheutzow. Exponential growth rate for a singular linear stochastic delay differential equation. Discrete & Continuous Dynamical Systems  B, 2013, 18 (6) : 16831696. doi: 10.3934/dcdsb.2013.18.1683 
2018 Impact Factor: 1.008
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