Analysis of a Modified System of Infectious Disease in a Closed and Convex Subset of a Function Space with Numerical Study

In this article, the transmission dynamical model of deadly infectious disease named Ebola is investigated. This identified in Democratic Republic Congo (DRC) and Sudan (now South Sudan) was 1976. The novelty under discussion inclusion advection diffusion each compartmental equation. addition these two terms makes more general. Similar to a simple population dynamic system, prescribed also has equilibrium points an important threshold, known as basic reproductive number. current work comprises existence uniqueness solution, numerical analysis model, finally, graphical simulations. section on solutions, optimal assessed closed convex subset function space. For study, nonstandard finite difference (NSFD) scheme adopted approximate solution continuous mathematical model. main reason for adoption technique delineated form positivity state variables, which necessary any applied verified by concept M-matrices. Since method gives discrete system equations corresponding some other relevant properties are needed describe it. respect, consistency stability designed corroborated using Taylor’s series expansion Von Neumann’s criteria, respectively. To authenticate proposed NSFD method, illustrious techniques sake comparison. end, simulations performed that show efficiency technique, while existing fail do so.