https://www.selleckchem.com/products/gsk2643943a.html This work applies a novel geometric criterion for global stability of nonlinear autonomous differential equations generalized by Lu and Lu (2017) to establish global threshold dynamics for several SVEIS epidemic models with temporary immunity, incorporating saturated incidence and nonmonotone incidence with psychological effect, and an SVEIS model with saturated incidence and partial temporary immunity. Incidentally, global stability for the SVEIS models with saturated incidence in Cai and Li (2009), Sahu and Dhar (2012) is completely solved. Furthermore, employing the DEDiscover simulation tool, the parameters in Sahu and Dhar'model are estimated with the 2009-2010 pandemic H1N1 case data in Hong Kong China, and it is validated that the vaccination programme indeed avoided subsequent potential outbreak waves of the pandemic. Finally, global sensitivity analysis reveals that multiple control measures should be utilized jointly to cut down the peak of the waves dramatically and delay the arrival of the second wave, thereinto timely vaccination is particularly effective.This study analyses the causal and long-run linkage between air transport and economic growth. It was conducted to validate the tourism-led growth hypothesis for the United States (US) during the period 1981-2017 and includes Information and Communication Technologies (ICTs) alongside coal rents in the tourism-led growth hypothesis. This study presents a new direction for future studies by considering the relevance of the fourth industrial revolution (Industry 4.0), particularly in the US. To achieve the stated claim, this study considers as additional explanatory variables how ICTs moderate the impact of Foreign Direct Investment (FDI) on GDP. The empirical result confirms a connection between the Industry 4.0 era and the role of ICTs, which promotes substantial changes in the way of life and productivity. This has led to a vast technological advan