Decoupled algorithms for non-linearly coupled reaction–diffusion competition model with harvesting and stocking
Decoupled algorithms for non-linearly coupled reaction–diffusion competition model with harvesting and stocking
复制标题
非线性耦合反应扩散竞争模型的解耦算法（收获和放养）
DOI：
10.1016/j.cam.2023.115421
复制
发表时间：
2024
影响因子：
2.4
通讯作者：
Khan, Taufiquar
中科院分区：
文献类型：
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作者：
Mohebujjaman, Muhammad;Buenrostro, Clarisa;Kamrujjaman, Md.;Khan, Taufiquar
针对一类具有收获或放养努力的非线性耦合反应扩散N种群竞争模型，提出了两种新的全离散解耦线性化算法，并进行了分析和检验。时间步进算法在时间上是一阶和二阶精度的，在空间上是最佳精度的。严格地证明了解耦格式的稳定性和最优收敛性定理。我们使用数值实验和分析测试问题的合成数据来验证我们的分析和算法的有效性的预测收敛速度。我们还研究了收获或放养和扩散参数对物种种群密度演化的影响，并观察了最佳收获或放养条件下的共存情景。
We propose, analyze and test two novel fully discrete decoupled linearized algorithms for a nonlinearly coupled reaction–diffusion N-species competition model with harvesting or stocking effort. The time-stepping algorithms are first and second order accurate in time and optimally accurate in space. Stability and optimal convergence theorems of the decoupled schemes are proved rigorously. We verify the predicted convergence rates of our analysis and efficacy of the algorithms using numerical experiments and synthetic data for analytical test problems. We also study the effect of harvesting or stocking and diffusion parameters on the evolution of species population density numerically, and observe the co-existence scenario subject to optimal harvesting or stocking.