Results 111 to 120 of about 24,216,701 (241)
Food chain dynamics in the chemostat.
, 1998 The asymptotic behavior of a tri-trophic food chain model in the chemostat is studied. The Monod-Herbert growth model is used for all trophic levels. The analysis is carried out numerically, by finding both local and global bifurcations of equilibria and
Kooi, B.W. +3 more
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Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input
Discrete Dynamics in Nature and Society, 2006 A chemostat model with periodically pulsed input is considered. By using the Floquet theorem, we find that the microorganism eradication periodic solution (u1∗(t),v1∗(t),0) is globally asymptotically stable if the impulsive period T is more than a ...
Xinyu Song, Zhong Zhao
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The asymptotic behavior of a chemostat model
Discrete and Continuous Dynamical Systems - B, 2004 In this paper, the Chemostat model with stage-structure and the Beddington-DeAngelies functional responses is studied. Sufficient conditions for uniform persistence of this model with delay are obtained via uniform persistence of infinite dimensional dynamical systems; and for the model without delay, sufficient conditions for the global ...
Zhipeng Qiu, Jun Yu, Yun Zou
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Optimal Management during the Microorganism Culture Based on the Continuous Purifying Effort
Discrete Dynamics in Nature and Society, 2012 This paper deals with the problem of selective harvesting in a chemostat model. Here, we have taken the purifying effort as a dynamic variable and tax as a control instrument.
Xianbin Wu
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An Analysis of Microbial Population of Chemostat Model in Fuzzy Environment
, 2019 Chemostat is a continuous stirred tank reactor used for continuous microbial biomass production in commercial, medical and other research problems. While modeling real world phenomena through differential equations as backbone of practical problems, we ...
H. Bhandari, Kanhaiya Jha
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A modeling approach of the chemostat
, 2014 Population dynamics and in particular microbial population dynamics, though they are complex but also intrinsically discrete and random, are conventionally represented as deterministic differential equations systems. We propose to revisit this approach by complementing these classic formalisms by stochastic formalisms and to explain the links between ...
Fritsch, Coralie +2 more
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Coexistence in chemostat-like models
Rocky Mountain Journal of Mathematics, 1990 Competition models easily reflect the direct impact of one population upon the other; for example, one produces metabolic products that inhibit the growth of the other. The simplest form of competition is where two or more populations compete for the same resource, for example, the same food supply or the same growth limting nutrient. One can view the `
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Competitive exclusion in a discrete-time, size-structured chemostat model
, 2000 Smith, Hal L.; Zhao, Xiao-Qiang. (2000). Competitive exclusion in a discrete-time, size-structured chemostat model.
Smith, Hal L. +3 more
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Appendix B. A description and table summarizing the chemostat model used to create Fig.4.
, 2016 A description and table summarizing the chemostat model used to create Fig ...
David A. Lytle (2913224) +3 more
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The Operating Diagram of an SIS Model in the Chemostat
This paper investigates the dynamics of a chemostat model incorporating two populations of one bacterial species: susceptible and virus-infected. Through the two operating parameters of the model, represented by the input concentration of the nutrient and the dilution rate of the chemostat, we analyze the existence and stability conditions of all ...
Hayat Berhoune +2 more
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