Spatial Approach and Mathematical Modeling of Dengue Disease Transmission by Seasonal Using Statistical of the Data

This research studies the spatial approach and mathematical modeling of dengue disease transmission by seasonal using statistical of the data. The aims of the research are to study, analyze the relation and the effect of the seasonal with dengue epidemiology. The mathematical modeling for the epidemiology evolution of disease is constructed by considering the effect of seasonal and geographic information. The system of nonlinear differential equations are created and divide the human populations into 3 groups: the susceptible human, the infectious human and the recovered human who has the immune to that strain. For the infectious human group is subdivided into two groups, the infectious human in hot season and rainy season. The standard dynamical modeling method is applied to determine the behaviors of solutions to the model. The conditions require of the parameters for the disease free and endemic equilibrium states to be local asymptotically stable are obtained. Numerical simulations are seen to support the theoretical predictions in Songkla and Nakhonsithammarat Provinces.