The purpose of this paper is to explore the promise of utilizing some relatively new feedback control techniques in ecosystem management. First, we set forth a basic ecological-economic model of a predator-prey-huntin...The purpose of this paper is to explore the promise of utilizing some relatively new feedback control techniques in ecosystem management. First, we set forth a basic ecological-economic model of a predator-prey-hunting system in which both the predator and prey have use(flow) and non-use(stock) value and when the predator can inflict transboundary damages. We then use new data from the US Mountain West to show how a particular feedback approach—linear parameter-varying(LPV) control—can be utilized in this context. Our LPV model is able to quantify the cost of managing disturbances that inevitably arise as a manager tries to keep the actual path of the system "close" to its optimum. The results suggest management strategies in mountain ecosystems that feature large, mammalian carnivores.展开更多
For the problem of price fluctuation in the commodity market, some ordinary differential equation models are proposed and the stability of equilibrium price is studied. In this paper, we develop a mathematic model for...For the problem of price fluctuation in the commodity market, some ordinary differential equation models are proposed and the stability of equilibrium price is studied. In this paper, we develop a mathematic model for price cooperation with diffusion and lag. When the economic parameters satisfy some conditions, the existence and stability of periodic price are investigated.展开更多
In the work one-productive model of economic dynamics the labor-force involved in production is investigated the case when or function with constant elasticity of substitution （CES） is studied. is considered. The de...In the work one-productive model of economic dynamics the labor-force involved in production is investigated the case when or function with constant elasticity of substitution （CES） is studied. is considered. The dependence of the consumption volume on production function coincides with the Cobb-Douglas function展开更多
基金the RIT College of Liberal Arts Faculty Research Fund for supplemental funding that enabled presentation of the preliminary results at the above mentioned AERE Conference in Asheville, NC
文摘The purpose of this paper is to explore the promise of utilizing some relatively new feedback control techniques in ecosystem management. First, we set forth a basic ecological-economic model of a predator-prey-hunting system in which both the predator and prey have use(flow) and non-use(stock) value and when the predator can inflict transboundary damages. We then use new data from the US Mountain West to show how a particular feedback approach—linear parameter-varying(LPV) control—can be utilized in this context. Our LPV model is able to quantify the cost of managing disturbances that inevitably arise as a manager tries to keep the actual path of the system "close" to its optimum. The results suggest management strategies in mountain ecosystems that feature large, mammalian carnivores.
文摘For the problem of price fluctuation in the commodity market, some ordinary differential equation models are proposed and the stability of equilibrium price is studied. In this paper, we develop a mathematic model for price cooperation with diffusion and lag. When the economic parameters satisfy some conditions, the existence and stability of periodic price are investigated.
文摘In the work one-productive model of economic dynamics the labor-force involved in production is investigated the case when or function with constant elasticity of substitution （CES） is studied. is considered. The dependence of the consumption volume on production function coincides with the Cobb-Douglas function
