A new Liapunov function for the simple chemostat
暂无分享,去创建一个
[1] S Pavlou,et al. Oscillations of two competing microbial populations in configurations of two interconnected chemostats. , 1998, Mathematical biosciences.
[2] Huaxing Xia,et al. Global Stability in Chemostat-Type Equations with Distributed Delays , 1998 .
[3] M. Ballyk,et al. A model of microbial growth in a plug flow reactor with wall attachment. , 1999, Mathematical biosciences.
[4] Sergei S. Pilyugin,et al. Persistence Criteria for a Chemostat with Variable Nutrient Input , 2001 .
[5] Bingtuan Li,et al. Global Asymptotic Behavior of the Chemostat: General Response Functions and Different Removal Rates , 1998, SIAM J. Appl. Math..
[6] Gail S. K. Wolkowicz,et al. Global Asymptotic Behavior of a Chemostat Model with Discrete Delays , 1997, SIAM J. Appl. Math..
[7] Coexistence in the unstirred chemostat , 1998 .
[8] M. Zhien,et al. The threshold of population survival in a polluted chemostat model , 1998 .
[9] Gail S. K. Wolkowicz,et al. Competition in the Chemostat: A Distributed Delay Model and Its Global Asymptotic Behavior , 1997, SIAM J. Appl. Math..
[10] Sergei S. Pilyugin,et al. Competition in the Unstirred Chemostat with Periodic Input and Washout , 1999, SIAM J. Appl. Math..
[11] B W Kooi,et al. Food chain dynamics in the chemostat. , 1998, Mathematical biosciences.
[12] Gail S. K. Wolkowicz,et al. Global dynamics of a chemostat competition model with distributed delay , 1999 .
[13] Xiao-Qiang Zhao,et al. Dynamics of a Periodically Pulsed Bio-reactor Model , 1999 .
[14] K. Hadeler,et al. Model of plasmid-bearing, plasmid-free competition in the chemostat with nutrient recycling and an inhibitor. , 1998, Mathematical biosciences.
[15] Hal L. Smith. The periodically forced Droop model for phytoplankton growth in a chemostat , 1997 .
[16] Shigui Ruan,et al. Global Stability in Chemostat-Type Competition Models with Nutrient Recycling , 1998, SIAM J. Appl. Math..
[17] Mary Ballyk,et al. Effects of Random Motility on Microbial Growth and Competition in a Flow Reactor , 1998, SIAM J. Appl. Math..
[18] Solomon Lefschetz,et al. Stability by Liapunov's Direct Method With Applications , 1962 .
[19] Xue-Zhong He,et al. Global stability in chemostat-type plankton models with delayed nutrient recycling , 1998 .
[20] Sze-Bi Hsu,et al. Competition in the chemostat when one competitor produces a toxin , 1998 .
[21] Sergei S. Pilyugin,et al. The Simple Chemostat with Wall Growth , 1999, SIAM J. Appl. Math..
[22] Yang Kuang,et al. Simple Food Chain in a Chemostat with Distinct Removal Rates , 2000 .
[23] Gail S. K. Wolkowicz,et al. Bifurcation Analysis of a Chemostat Model with a Distributed Delay , 1996 .
[24] Sze-Bi Hsu,et al. Limiting Behavior for Competing Species , 1978 .
[25] Hal L. Smith. A discrete, size-structured model of microbial growth and competition in the chemostat , 1996 .
[26] B Tang,et al. Population dynamics and competition in chemostat models with adaptive nutrient uptake , 1997, Journal of mathematical biology.
[27] S. Pavlou,et al. On the coexistence of three microbial populations competing for two complementary substrates in configurations of interconnected chemostats. , 1998, Mathematical biosciences.
[28] S. F. Ellermeyer,et al. Competition in the Chemostat: Global Asymptotic Behavior of a Model with Delayed Response in Growth , 1994, SIAM J. Appl. Math..
[29] Paul Waltman,et al. The Theory of the Chemostat: Dynamics of Microbial Competition , 1995 .