Transmission of Nipah virus dynamics under Caputo fractional derivative

Abstract

The purpose of this paper is to bring a numerical model of the Nipah virus (NiV) into focus for tracing the fractional order derivative’s influence on the manner in which the model responds. This will enable us to evaluate the fractional derivative operator’s influence on the NiV disease spread in terms of memory and heredity effects. To the best of the authors’ knowledge, this is the first study which utilizes the fractional derivative in the Caputo sense to investigate the nature of the Nipah virus. For this purpose, we compute the system’s solution space and equilibrium solutions, and examine the local and global stability of those solutions. By use of the fixed point theory, it is evinced that the relevant version solutions satisfy the existence-uniqueness analysis. In an effort to envision the validity of the hypothetical outcomes and supervise the arbitrary-order derivative’s influence, we lastly conduct numeric productions involving the model and present the relevant graphs.