Local and global stability analysis of HIV/AIDS by using a nonstandard finite difference scheme.

This study presents a mathematical model incorporating both asymptomatic and symptomatic HIV-infected individuals to analyze the dynamics of HIV/AIDS. This expanded model offers a more comprehensive understanding of the epidemic's spread. We calculate the basic reproduction number (R) to quantify the virus's transmission potential.

The connectivity indices concept of neutrosophic graph and their application of computer network, highway system and transport network flow.

To address information ambiguities, this study suggests using neutrosophic sets as a tactical tool. Three membership functions (called and ) that indicate an object's degree of truth, indeterminacy, and false membership constitute the neutrosophic set. It becomes clear that the neutrosophic connectivity index (CIN) is an essential tool for solving practical problems, especially those involving traffic network flow.