ODE Model and Analysis On Dengue Fever in India

In this book entitled "ODE Model and Analysis for Dengue Fever in India", a set of differential equations was defined for the spread of dengue fever. The set consists of two major parts, one considering human and the other one considering mosquito. Here, 17 parameters and 7 states were considered and extended to many arbitrary regions. The reproductive number was defined, which was an important quantity for determining the spread of a disease. The existence and uniqueness of the model was discussed. There existed a domain where the model was mathematically and epidemiologically well posed. Existence of the disease free and endemic equilibrium points was also discussed. Bifurcation analysis is the mathematical study of changes in the solutions when changing the parameters of the equations. By analyzing the existence and behavior of the model in such points, one can derive much about the systems properties and the same was performed for the above said model. The model was analyzed by evaluating the sensitivity indices of the reproductive number and the endemic equilibrium point. The control strategies and suggestions for improvement of the above said model were also discussed.