A THEORETICAL ANALYSIS OF LOTKA'S MODEL IN CLOSED SYSTEM

来源 :Science in China,Ser.B | 被引量 : 0次 | 上传用户:leefenbo
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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. In this paper, the Lotka’s model in closed system has been discussed in detail. Considering the consumption of reaction reagent, this model is analyzed 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 rules in connection with the time dependence of corresponding concentrations and the reaction trajectories in the relative component concentration phase space are both The effectual regions in regard to the first order harmonic wave are examined. The relative results may be to explain some important chemical oscillation phenomena, such as the sustained, damped and exploded oscillations.
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