一类随机模型的最优捕获问题研究

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.

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

In this paper,we investigate a stochastic Lotka-Volterra competition system. Construct a competition 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 positive discounting.