The effect of parameters on positive solutions and asymptotic behavior of an unstirred chemostat model with B–D functional response

[1]  Xiao-jun Li,et al.  A stochastic prey-predator model with time-dependent delays , 2017 .

[2]  Xinzhu Meng,et al.  Global analysis of a new nonlinear stochastic differential competition system with impulsive effect , 2017 .

[3]  Tonghua Zhang,et al.  Stability analysis of a chemostat model with maintenance energy , 2017, Appl. Math. Lett..

[4]  Wanbiao Ma,et al.  Global dynamics of a delayed chemostat model with harvest by impulsive flocculant input , 2017 .

[5]  Xiao-zhou Feng,et al.  Coexistence of an unstirred chemostat model with B-D functional response by fixed point index theory , 2016 .

[6]  Enmin Feng,et al.  Modelling and optimal control for an impulsive dynamical system in microbial fed-batch culture , 2013 .

[7]  Jianhua Wu,et al.  Coexistence and stability of an unstirred chemostat model with Beddington-DeAngelis function , 2010, Comput. Math. Appl..

[8]  Hua Nie,et al.  Coexistence of an unstirred chemostat model with Beddington–DeAngelis functional response and inhibitor☆ , 2010 .

[9]  Zhenqing Li,et al.  The effects of delayed growth response on the dynamic behaviors of the Monod type chemostat model with impulsive input nutrient concentration , 2010 .

[10]  Jianhua Wu,et al.  Asymptotic behavior of an unstirred chemostat model with internal inhibitor , 2007 .

[11]  Hua Nie,et al.  The Effect of Inhibitor on the Plasmid-Bearing and Plasmid-Free Model in the Unstirred Chemostat , 2007, SIAM J. Math. Anal..

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

[13]  S. Hsu,et al.  MODEL OF THE EFFECT OF ANTI-COMPETITOR TOXINS ON PLASMID-BEARING, PLASMID-FREE COMPETITION , 2002 .

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

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

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

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

[18]  Horst R. Thieme,et al.  Persistence under relaxed point-dissipativity (with application to an endemic model) , 1993 .

[19]  Josep Blat,et al.  Global bifurcation of positive solutions in some systems of elliptic equations , 1986 .

[20]  J. Smoller,et al.  Shock Waves and Reaction-Diffusion Equations. , 1986 .

[21]  Sze-Bi Hsu,et al.  A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms , 1977 .

[22]  Donald L. DeAngelis,et al.  A Model for Tropic Interaction , 1975 .

[23]  J. Beddington,et al.  Mutual Interference Between Parasites or Predators and its Effect on Searching Efficiency , 1975 .

[24]  Bruce R. Levin,et al.  Partitioning of Resources and the Outcome of Interspecific Competition: A Model and Some General Considerations , 1973, The American Naturalist.

[25]  Xinzhu Meng,et al.  Global dynamics analysis of a nonlinear impulsive stochastic chemostat system in a polluted environment , 2016 .

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

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

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

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

[30]  J. Smoller Shock Waves and Reaction-Diffusion Equations , 1983 .