一类随机模型的最优捕获问题研究  

Research on Optimal Harvesting with a Kind of Stochastic Lotak-Volterra Competition Model

作　　者：廖宝超[1] 张建勋[2] 赵艳敏[3] 

机构地区：[1]烟台南山学院理学院数学系,山东烟台265713 [2]宁波大学理学院,浙江宁波315211 [3]聊城大学建工学院,山东聊城252059

出　　处：《数学的实践与认识》2010年第10期167-173,共7页Mathematics in Practice and Theory

基　　金：浙江省新苗人才计划项目(2007R40G2070023)

摘　　要：在Volterra两种群竞争模型的基础上,构造了随机的具有捕获的两种群竞争模型,研究讨论了捕获对种群生长过程的影响和如何实现最优捕获等问题.从确定性模型入手,深入讨论随机竞争模型的收获最优问题.通过对捕获强度E和贴现率等的估计与讨论,计算出了最优捕获强度最优捕获量最优经济收益.In this paper, we investigate a stochastic Lotka-Volterra competition system . Construct a compctition model with a random harvesting between the two kinds population. Study and discuss the process of capturing the impact on population growth and how to achieve optimum harvesting with stochastic model. To start from the deterministic model, Indepth discussion of the harvest stochastic competition model optimization problem. Optimal harvesting with stochastic Lotka-Volterra competition model, and consider with zero discount rate or positivc discounting.

关 键 词：随机模型 捕获强度 最优化问题 环境容纳量 贴现率 最优捕获策略 

分 类 号：O242.1[理学—计算数学]