An Analytical Approach to Solve Nipah Virus Infection Model

Abstract

An epidemic is the rapid spread of disease to a large number of hosts in a given population within a short period of time. The SIR model is that it assumes homogeneous mixture of populations, however this is an over simplification of the reality of epidemic process. The Nipah virus, known for its severe outbreaks and high mortality rates, necessitates effective modeling techniques for understanding its transmission and potential control measure. In this paper, initially we discuss the stability analysis and the q − Homotopy Analysis Transform Method (q − HATM) is compared with CFDTM graphically. The q − Homotopy Analysis Transform Method offers a series solution that converges rapidly, while the CFDTM provides robust numerical approximation. Comparative analysis highlights the strengths and limitations of each method in terms of accuracy, computational efficiency, and applicability to real world scenarios. The q − Homotopy Analysis Transform Method used to solve the system of non-linear differential equations which arises due to Nipah virus infection