chemostat 中文意思是什麼
chemostat
解釋
恆化器-
Chemostat model is one of the most significant models in mathematical biology
恆化器模型是生物和數學中非常重要的模型之一。 -
In the light of the recent work in biological models, especially in the chemostat models, the dissertation provides a systematic study on the asymptotical behaviour of some chemostat models built by delay or diffusion differential equations. the main contents and results in this dissertation are as follows : i ) the global asymptotic behavior of the chemostat model with the beddington - deangelies functional responses and time delays is studied. the conditions for the uniform persistence of the competing populations are obtained via uniform persistence of infinite dimensional systems
本論文基於當前生物學模型，特別是恆化器模型的研究現狀，深入系統的研究了時滯和擴散方程描述的幾類恆化器系統的漸近性態，本文的主要內容包括以下幾個方面：一、研究了具有beddington - deangelies功能性反應函數的時滯恆化器模型，利用無窮維連續動力系統的一致持續生存的理論給出了兩競爭種群一致持續生存的充分條件，利用單調動力學系統得到了系統的全局漸近穩定性。 -
The existence and stability of the solution of a class of unstirred chemostat model
模型正解的存在性與穩定性分析 -
Then one can easily obtain the existence of periodic solution of the chemostat model
然後在一致持續生存的條件下得到了該系統周期解的存在性。 -
The chemostat is an important device used for growing micro - organisms in a continuous cultured environment, and a medium of great importance between principles and applications
利用恆化器連續培養微生物已是微生物學研究中的一項重要的研究手段；是原理和應用之間的一個極其重要的中介。 -
Finalh. the asymptotic behaviour of the chemostat model with two - nutrient and diffusion is further studied. the global attractivity of the periodic solution is proved under the unique existence of the periodic solution
然後進一步研究具有周期環境的雙營養擴散恆化器模型的漸近性態，在周期解存在唯一的條件下證明了該周期解的全局吸引性。 -
Moreover, under those conditions, the global stability of the positive equilibrium is proved for the two models without delays. iii ) the asymptotic behaviour of the chemostat model with predator - prey populations and delays is studied
三、研究了單營養食物鏈的恆化器模型的漸近性態，利用波動引理給出了邊界平衡點全局吸引性的充分條件。 -
Our results imply that mutual interference in a species may result in coexistence of the two competing species and demonstrate that those time delays do not influence the competitive outcome of the organisms. ii ) the asymptotic behaviour of the chemostat model with mutual interference or without mutual interference is studied. for the two models with delay, the uniform persistence of the models are both proved under the conditions of the existence of the positive equilibrium
二、研究了無種內競爭和有種內競爭的具有階段結構的時滯恆化器模型的漸近性態，對于兩類模型，都在正平衡點存在性的條件下證明了該系統的一致持續生存，對于兩類相應的常微系統的模型，均在正平衡點存在性的條件下證明了該正平衡點的全局穩定性。 -
In this paper we study the single - species chemostat model with time dilay. based on [ 8 ], we analyze the hopf bifurcation of the system which take the diluton as a parameter, and we obtain that under the conditon of the existence of positive equilibrium and if the dilution is too big or too small, the system will appear hopf bifurcation
在文[ 8 ]的基礎上，以模型中的流量為參數進行了hopf分支分析。得出了在正平衡點存在的條件下，當流量較大或較小時，系統的正平衡點附近會產生hopf分支，並應用中心流形和規范形理論給出了分支方向及分支周期解穩定性的計算公式。
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