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In this research, the Lotka-Volterra model, commonly recognized as the predator-prey model, is addressed using the differential transform method (DTM), a semi-numerical-analytic approach. This study encompasses two Lotka-Volterra model which are the classic Lotka-Volterra model and the modified Lotka-Volterra model. The computation of the solution is acquired using Maple 2020 software. The utilization of Maple 2020 software is also aiding in the comparison of outcomes obtained through the DTM with results from other numerical methods such as Variational iteration method (VIM), Adomian decomposition method (ADM), and fourth-order Runge-Kutta (RK4) accomplished by previous researchers. By the end of this study, it was demonstrated that DTM proficiently solved the Lotka-Volterra model and it is a high accuracy method when compared to 3-term ADM and 2-iteration VIM.

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Solving Two Species Lotka-Volterra Biology Model Using Differential Transform Method

  • 会议论文

  • 发表日期：

    2025年

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  • Noor Azliza Abd Latif,
  • Norziha Che Him

摘要

In this research, the Lotka-Volterra model, commonly recognized as the predator-prey model, is addressed using the differential transform method (DTM), a semi-numerical-analytic approach. This study encompasses two Lotka-Volterra model which are the classic Lotka-Volterra model and the modified Lotka-Volterra model. The computation of the solution is acquired using Maple 2020 software. The utilization of Maple 2020 software is also aiding in the comparison of outcomes obtained through the DTM with results from other numerical methods such as Variational iteration method (VIM), Adomian decomposition method (ADM), and fourth-order Runge-Kutta (RK4) accomplished by previous researchers. By the end of this study, it was demonstrated that DTM proficiently solved the Lotka-Volterra model and it is a high accuracy method when compared to 3-term ADM and 2-iteration VIM.