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A THEORETICAL ANALYSIS OF LOTKA''''S MODEL IN CLOSED SYSTEM
作者姓名:赵学庄  臧雅茹  易希璋  刘嘉欣  张秀芳
作者单位:Department of Chemistry,Nankai University,Tianjin,Department of Chemistry,Nankai University,Tianjin,Department of Optics,Shandong University,Jinan,Department of Physics,Nankai University,Tianjin,Department of Physics,Nankai University,Tianjin
摘    要:
In this paper, the Lotka's model in closed system has been discussed in detail. Considering the consumption of reaction reagent, this model is analysed in accordance with the first order harmonic wave approximation and digital calculated by using the microcomputer.For the various initial conditions (according to, approaching, deviating from and deviating far from the Lotka's steady-state condition) the corresponding chemical oscillation behaviours are studied. The rules in connection with the time dependence of corresponding concentrations and the reaction trajectories in the relative component concentration phase space are obtained. The effectual regions in regard to the first order harmonic wave are examined. The relative results may be used to explain some important chemical oscillation phenomena, such as the sustained, damped and exploded oscillations.

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