Abstract
In the present paper, an analysis of elastic stability for mosquito fascicle with the elastic foundation is investigated by the variational iteration method. A mathematical model is established for the mosquito fascicle for the associated clamped and free boundary conditions. Results attained expert the stability condition of mosquito fascicle for given parameters. Design guidelines for the dynamically stable microneedle are developed and critically debated. A uniform homogeneous mosquito fascicle is considered to be restrained by labium along its length. The restraint considered in this work is an elastic foundation model by labium, and it is of great interest to bioengineering and foundation engineers. An analytical solution is not a simple procedure since the equations are highly nonlinear. This study presents the application of the variational iteration method for obtaining exact solutions for continuously restrained mosquito fascicle. The research proves that the variational iteration method is a very efficient and promising approach to understand the probing behavior of mosquitoes and the process of penetration.