The Effect of Inhibitor on the Plasmid-Bearing and Plasmid-Free Model in the Unstirred Chemostat

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[1]  S. Levin,et al.  The dynamics of bacteria-plasmid systems , 1994 .

[2]  Yanping Lin,et al.  Nonlinear parabolic equations with nonlinear functionals , 1992 .

[3]  Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat with inhibitions , 1995 .

[4]  Michael G. Crandall,et al.  Bifurcation, perturbation of simple eigenvalues, itand linearized stability , 1973 .

[5]  Hal L. Smith,et al.  A Parabolic System Modeling Microbial Competition in an Unmixed Bio-reactor , 1996 .

[6]  B. Levin Frequency-dependent selection in bacterial populations. , 1988, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[7]  E. N. Dancer On the indices of fixed points of mappings in cones and applications , 1983 .

[8]  Paul Waltman,et al.  Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor , 2011, 2011 6th IEEE Joint International Information Technology and Artificial Intelligence Conference.

[9]  K. Deimling Nonlinear functional analysis , 1985 .

[10]  Jing Liu,et al.  Coexistence solutions for a reaction-diffusion system of un-stirred chemostat model , 2003, Appl. Math. Comput..

[11]  Hua Nie,et al.  A System of Reaction-diffusion Equations in the Unstirred Chemostat with an Inhibitor , 2006, Int. J. Bifurc. Chaos.

[12]  Paul Waltman,et al.  The Theory of the Chemostat , 1995 .

[13]  W. Feng,et al.  On the fixed point index and multiple steady-state solutions of reaction-diffusion systems , 1995, Differential and Integral Equations.

[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]  P. Hess,et al.  Periodic-Parabolic Boundary Value Problems and Positivity , 1991 .

[16]  Hua Nie,et al.  A Mathematical Model of Competition for Two Essential Resources in the Unstirred Chemostat , 2004, SIAM J. Appl. Math..

[17]  F. M. Arscott,et al.  PERIODIC‐PARABOLIC BOUNDARY VALUE PROBLEMS AND POSITIVITY , 1992 .

[18]  R. Lenski,et al.  Coexistence of two competitors on one resource and one inhibitor: a chemostat model based on bacteria and antibiotics. , 1986, Journal of theoretical biology.

[19]  Sze-Bi Hsu,et al.  Analysis of a model of two competitors in a chemostat with an external inhibitor , 1992 .

[20]  Sze-Bi Hsu,et al.  On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat , 1993, SIAM J. Appl. Math..

[21]  M. Crandall,et al.  Bifurcation from simple eigenvalues , 1971 .

[22]  Hans Jarchow,et al.  Topological Vector Spaces , 1981 .

[23]  H. G. Landau,et al.  Nonlinear Parabolic Equations , 1948 .

[24]  Hal L. Smith,et al.  Monotone Dynamical Systems: An Introduction To The Theory Of Competitive And Cooperative Systems (Mathematical Surveys And Monographs) By Hal L. Smith , 1995 .

[25]  Yuan Lou,et al.  Some uniqueness and exact multiplicity results for a predator-prey model , 1997 .

[26]  G Stephanopoulos,et al.  Microbial competition. , 1981, Science.

[27]  Jianhua Wu,et al.  Global bifurcation of coexistence state for the competition model in the chemostat , 2000 .

[28]  D. Dibiasio,et al.  An operational strategy for unstable recombinant DNA cultures , 1984, Biotechnology and bioengineering.

[29]  G. Stephanopoulos,et al.  Chemostat dynamics of plasmid-bearing, plasmid-free mixed recombinant cultures , 1988 .

[30]  L. Chao,et al.  Structured habitats and the evolution of anticompetitor toxins in bacteria. , 1981, Proceedings of the National Academy of Sciences of the United States of America.

[31]  Paul Waltman,et al.  A survey of mathematical models of competition with an inhibitor. , 2004, Mathematical biosciences.

[32]  Competition between plasmid-bearing and plasmid-free organisms in selective media , 1997 .

[33]  J. Keener Principles of Applied Mathematics , 2019 .

[34]  Gail S. K. Wolkowicz,et al.  A System of Resource-Based Growth Models with Two Resources in the Unstirred Chemostat , 2001 .

[35]  S. Hsu,et al.  Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat , 1994 .