Stability of the vector-borne disease model with direct transmission using Boubaker polynomials approach

Abstract

In this paper, we delve into the analysis of an epidemic model for a vector-borne disease. Our study focuses on utilizing a baseline version of the ordinary differential equations (ODE) model to capture the dynamics of the disease transmission. Specifically, we aim to study the long-term behavior and properties of the model's solutions using a novel analytical approach known as the Boubaker polynomial Expansion Scheme (BPES). Furthermore, to complement our theoretical analysis, we conduct numerical simulations to provide a more practical perspective on the epidemic.