Relationship between addicts with incurable diseases in an epidemic model

Abstract

In the paper, the authors put two drug strains under various levels of competition and establish that cross‐immunity and host isolation lead to periodic epidemic outbreaks in the multistrain system. For the model, by the reproduction number of strain one, scriptR1, and the reproduction number of strain two, scriptR2, they show local and global stability and backward bifurcation under suitable conditions.

The effect of irreversible drug abuse in a dynamic model

“…If λ 2 < 0 and λ 3 < 0 then there is the disease-free equilibrium is locally asymptotically stable. See [26]. Thus, we define…”