Optimal and Nash Equilibrium Harvests in Dynamic Systems: A Markov Decision Process Approach with Applications to Predator-Prey Models

Dataset contains R code for analysis and visualistions as well as the data generated for the purpose of the paper. Continuous time method (CTM) analysis can be reproduced using files: - CTM_predator_harvesting.R - CTM_predator_harvesting_noprey.R - CTM_prey_harvesting.R - CTM_prey_harvesting_nopred.R Each file conducts analysis for harvesting specific species in two versions - when other species is present or not. User have to change the parameters of the model manually. Markov decision process (MDP) approach form both Nash equilibrium and optimal harvest can be reproduced using file: - MDP_predator_prey.R File contains all scripts used for the analysis and saves the results in Output folder. Scripts are run from command line in R. Other elments of data analysis such as trajectory analysis and hierarchical cluster analysis can be reproduced using file: - data_analysis.R File should be copied to the specific result folder in Output folder. Scripts are run from command line in R. Visualisations can be reproduced using file: - visualisations.R File should be copied to the specific result folder in Output folder. Scripts are run from command line in R.本数据集包含用于本论文研究的分析与可视化R代码，以及配套生成的实验数据。 连续时间方法（Continuous Time Method, CTM）分析可通过以下文件复现： - CTM_predator_harvesting.R - CTM_predator_harvesting_noprey.R - CTM_prey_harvesting.R - CTM_prey_harvesting_nopred.R 每份文件均针对特定捕捞物种开展分析，涵盖两种场景版本：共存其他物种时，以及无其他物种时。用户需手动修改模型参数。 马尔可夫决策过程（Markov Decision Process, MDP）相关分析（包括纳什均衡与最优捕捞策略求解）可通过文件MDP_predator_prey.R复现。该文件包含全部分析脚本，并将结果保存至Output文件夹，需通过R命令行运行脚本。 其余数据分析环节（如轨迹分析与层次聚类分析）可通过文件data_analysis.R复现。需将该文件复制至Output文件夹下的指定结果目录，再通过R命令行运行脚本。 可视化结果可通过文件visualisations.R复现。需将该文件复制至Output文件夹下的指定结果目录，再通过R命令行运行脚本。