A Local Epidemic of Laced Heroin Causing Skin Necrosis

A Local Characterization of Simply-Laced Crystals

Heroin Epidemic Models

The use of illicit drugs has been on the rise in America. It is very detrimental on society, as fatal overdose is the fourth leading cause of death in the United States (about the same as motor vehicle crashes). Of all illicit drugs, one drug that has an severe adverse effect on a community as a whole is heroin. This paper will discuss two mathematical modelsthe White and Comiskey model and a n...

A comparison of heroin epidemic models

The use of illicit drugs has been on the rise in United States. It is very detrimental on society, as fatal overdose is the fourth leading cause of death in the United States, which is about the same as motor vehicle crashes. Of all illicit drugs, one drug that has an severe adverse effect on a community as a whole is heroin. This paper will discuss two mathematical modelsthe White and Comiskey...

Dynamics of a Heroin Epidemic Model with Very Population

Based on the model provided by the Mulone and Straughan [1], we relax the population which are constant and obtain the drug-free equilibrium which is global asymptotically stable under some conditions. The system has only uniqueness positive endemic equilibrium which is globally asymptotically stable by using the second compound matrix.

On the local structure of doubly laced crystals

Let g be a Lie algebra whose Cartan matrix has entries no smaller than −2, and let B be a crystal graph corresponding to a representation of g. We explicitly describe the local structure of B, confirming a conjecture of Stembridge.