Uncertainty induced by the political environment affects investment risk, and thus affects investment decisions, which have a close relationship with economic development. This paper investigates the economic cost of ...Uncertainty induced by the political environment affects investment risk, and thus affects investment decisions, which have a close relationship with economic development. This paper investigates the economic cost of political instability using the case study of the tense relationship across-Strait in China. We use a synthetic control method to better model the counterfactual analysis of this case study. The intense situation of the relations across-Strait has great influence on the economic development of Fujian province. Fujian province is the closest province in proximity to Taiwan and also possesses the greatest preferential policies for Taiwan Residents direct investment. The empirical results of this study reveal that during 2001-2008 Fujian province's average annual loss in GDP per capita was 682.54 yuan. In other words, GDP per capita in Fujian has declined about 12.1 percent annually during this period compared with GDP per capita as calculated by the synthetic control method.展开更多
In this paper, optimal control for a novel West Nile virus (WNV) model of fractional order derivative is presented. The proposed model is governed by a system of fractional differential equations (FDEs), where the...In this paper, optimal control for a novel West Nile virus (WNV) model of fractional order derivative is presented. The proposed model is governed by a system of fractional differential equations (FDEs), where the fractional derivative is defined in the Caputo sense. An optimal control problem is formulated and studied theoretically using the Pon- tryagin maximum principle. Two numerical methods are used to study the fractional- order optimal control problem. The methods are, the iterative optimal control method (OCM) and the generalized Euler method (GEM). Positivity, boundedness and conver- gence of the IOCM are studied. Comparative studies between the proposed methods are implemented, it is found that the IOCM is better than the GEM.展开更多
文摘Uncertainty induced by the political environment affects investment risk, and thus affects investment decisions, which have a close relationship with economic development. This paper investigates the economic cost of political instability using the case study of the tense relationship across-Strait in China. We use a synthetic control method to better model the counterfactual analysis of this case study. The intense situation of the relations across-Strait has great influence on the economic development of Fujian province. Fujian province is the closest province in proximity to Taiwan and also possesses the greatest preferential policies for Taiwan Residents direct investment. The empirical results of this study reveal that during 2001-2008 Fujian province's average annual loss in GDP per capita was 682.54 yuan. In other words, GDP per capita in Fujian has declined about 12.1 percent annually during this period compared with GDP per capita as calculated by the synthetic control method.
文摘In this paper, optimal control for a novel West Nile virus (WNV) model of fractional order derivative is presented. The proposed model is governed by a system of fractional differential equations (FDEs), where the fractional derivative is defined in the Caputo sense. An optimal control problem is formulated and studied theoretically using the Pon- tryagin maximum principle. Two numerical methods are used to study the fractional- order optimal control problem. The methods are, the iterative optimal control method (OCM) and the generalized Euler method (GEM). Positivity, boundedness and conver- gence of the IOCM are studied. Comparative studies between the proposed methods are implemented, it is found that the IOCM is better than the GEM.