马常友, 王春成. 利用改进的Adomian分解法求解Lotka Volterra捕食模型[J]. 内江师范学院学报, 2013, (4): 5-7.
    引用本文: 马常友, 王春成. 利用改进的Adomian分解法求解Lotka Volterra捕食模型[J]. 内江师范学院学报, 2013, (4): 5-7.
    MA Chang you, WANG Chun cheng. Application of the Laplace Adomian Decomposition Method to the Determination of Lotka-VolterraEquation[J]. Journal of Neijiang Normal University, 2013, (4): 5-7.
    Citation: MA Chang you, WANG Chun cheng. Application of the Laplace Adomian Decomposition Method to the Determination of Lotka-VolterraEquation[J]. Journal of Neijiang Normal University, 2013, (4): 5-7.

    利用改进的Adomian分解法求解Lotka Volterra捕食模型

    Application of the Laplace Adomian Decomposition Method to the Determination of Lotka-VolterraEquation

    • 摘要: Lotka Volterra捕食模型是一类重要的非线性系统. 利用改进的Adomian分解法求解捕食模型, 得到了方程的高阶解析近似解并进行了误差分析. 结果表明,改进后的Adomian分解法精度更高, 更能有效地描述生物链中种群捕食关系.

       

      Abstract: The famous Lotka-Volterra equation is an important nonlinear differential equation. It has been frequently used to describe the dynamics of biological systems in which two species interact. This study investigates the model analytically by means of the modified Adomian decomposition method. The results show the modified method boasts its efficiency and higher accuracies.

       

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