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Keyword

logistic source

Description: A logistic growth term in a differential equation that represents growth limited by a carrying capacity, often in reaction-diffusion systems.
OpenAlex ID: keywords/logistic-source
Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
2010 · Michael Winkler · Communications in Partial Differential Equations · 817
A Chemotaxis System with Logistic Source
2007 · J. Ignacio Tello, Michael Winkler · Communications in Partial Differential Equations · 632
Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source
2014 · Johannes Lankeit · Journal of Differential Equations · 263
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A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
2011 · Youshan Tao, Michael Winkler · SIAM Journal on Mathematical Analysis · 252
A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization
2018 · Michael Winkler · Journal of Functional Analysis · 246
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Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis–fluid system
2015 · Youshan Tao, Michael Winkler · Zeitschrift für angewandte Mathematik und Physik · 246
Chemotaxis with logistic source: Very weak global solutions and their boundedness properties
2008 · Michael Winkler · Journal of Mathematical Analysis and Applications · 233
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Stabilization in a two-species chemotaxis system with a logistic source
2012 · J I Tello, M Winkler · Nonlinearity · 206
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Long-term behaviour in a chemotaxis-fluid system with logistic source
2016 · Johannes Lankeit · Mathematical Models and Methods in Applied Sciences · 203
Blow-up prevention by quadratic degradation in a two-dimensional Keller–Segel–Navier–Stokes system
2016 · Youshan Tao, Michael Winkler · Zeitschrift für angewandte Mathematik und Physik · 191
Boundedness of solutions to a quasilinear parabolic–elliptic Keller–Segel system with logistic source
2015 · Jiashan Zheng · Journal of Differential Equations · 180
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On a quasilinear parabolic–elliptic chemotaxis system with logistic source
2013 · Liangchen Wang, Chunlai Mu, et al. · Journal of Differential Equations · 180
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Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption
2017 · Johannes Lankeit, Yulan Wang · Discrete and Continuous Dynamical Systems · 151
Chemotaxis can prevent thresholds on population density
2015 · Johannes Lankeit · Discrete and Continuous Dynamical Systems - B · 144
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Boundedness and global existence in the higher-dimensional parabolic–parabolic chemotaxis system with/without growth source
2015 · Tian Xiang · Journal of Differential Equations · 130
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Boundedness vs.blow-up in a two-species chemotaxis system with two chemicals
2015 · Youshan Tao, Michael Winkler · Discrete and Continuous Dynamical Systems - B · 126
How strong a logistic damping can prevent blow-up for the minimal Keller–Segel chemotaxis system?
2017 · Tian Xiang · Journal of Mathematical Analysis and Applications · 121
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Very weak global solutions to a parabolic–parabolic chemotaxis-system with logistic source
2016 · G. Viglialoro · Journal of Mathematical Analysis and Applications · 119
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Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source
2013 · Liangchen Wang, Yuhuan Li, et al. · Discrete and Continuous Dynamical Systems · 113
Combining effects ensuring boundedness in an attraction–repulsion chemotaxis model with production and consumption
2023 · Tongxing Li, Silvia Frassu, et al. · Zeitschrift für angewandte Mathematik und Physik · 111
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Blow-up prevention by logistic sources in a parabolic–elliptic Keller–Segel system with singular sensitivity
2014 · Kentarou Fujie, Michael Winkler, et al. · Nonlinear Analysis · 106
Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with logistic source
2013 · Xinru Cao · Journal of Mathematical Analysis and Applications · 102
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A Combined Chemotaxis-haptotaxis System: The Role of Logistic Source
2009 · Youshan Tao, Mingjun Wang · SIAM Journal on Mathematical Analysis · 98
Boundedness in a quasilinear fully parabolic Keller–Segel system of higher dimension with logistic source
2015 · Cibing Yang, Xinru Cao, et al. · Journal of Mathematical Analysis and Applications · 91
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Global existence and asymptotic behavior of classical solutions to a parabolic–elliptic chemotaxis system with logistic source on RN
2017 · Rachidi Bolaji Salako, Wenxian Shen · Journal of Differential Equations · 88
Works count: 505
Citation count: 10,640
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