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Study of chemostat Model on Two Substrates

Author: ZhengJianFeng
Tutor: ManHeBuBai
School: Xinjiang University
Course: Applied Mathematics
Keywords: chemostat model Global attractivity Persistent Pulse input Monod model Toxic substances Delay chemostat
CLC: O175
Type: Master's thesis
Year: 2011
Downloads: 6
Quote: 0
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Abstract


Chemostat (chemostat) is a basic microbial ecology of open systems model and it is an important bio- mathematical model of microbial persistence , extinction , global attractivity of the equilibrium point such manual control so biological nature of sustainable development , has important theoretical and practical significance . This paper studies the delay dual nutrient chemostat model with impulsive perturbations and pollute the environment in a class of delay dual nutrient chemostat model with impulsive perturbations and pollution . will mainly use the pulse comparison principle of differential equations , respectively, persistence and extinction system sufficient condition for the main content of this paper can be summarized as follows : an introduction, describes the study of microbial culture background, purpose and meaning , to the status and results of the study of microbial culture . Finally, the organizational structure of the two discussed the two were cultured delay a microbial chemostat model with impulsive perturbations and prior knowledge obtained under the impulse comparison principle and Lemma 2.2 extinction and persistence Finally, numerical simulation , can be seen through the numerical simulation of the system is globally attractive . 3 discusses the pollution of the environment two were cultured with a pulse disturbance and pollution delay a microbial chemostat model and prior knowledge on impulse comparison principle and Lemma 2.2 extinction and persistence Finally the numerical simulation can be seen through the numerical simulation of the system is globally attractive .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
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