Solving ratio-dependent predator-prey system with constant effort harvesting using Adomian decomposition method
Solving ratio-dependent predator-prey system with constant effort harvesting using Adomian decomposition method
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DOI：
10.1016/j.amc.2006.07.083
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发表时间：
2007-03
期刊：
影响因子：
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通讯作者：
O. Makinde
中科院分区：
文献类型：
--
作者：
O. Makinde
本文利用Adomian分解方法，提出了一种求解具有常数努力收获的比率依赖捕食系统解的近似算法。利用Padé逼近技术，提高了分解级数的收敛性.模型的定性分析表明，不断努力的猎物收获可能有助于相互灭绝的捕食者-食饵相互作用的一个可能的结果。给出了捕食者和被捕食者种群随时间变化的曲线图，以说明算法的性能和精度。分解方法的优点是更简洁的数值目的。
In this paper, an algorithm based on Adomian’s decomposition method is developed to approximate the solution of the ratio-dependent predator–prey system with constant effort harvesting. The convergence of the decomposition series is enhanced using Padé approximation technique. The qualitative analysis of the model reveals that constant effort prey harvesting may contribute to mutual extinction as a possible outcome of predator–prey interaction. Some plots of the population of predator and prey versus time are presented to illustrate the performance and the accuracy of the algorithm. The decomposition method has the advantage of being more concise for numerical purposes.