Interaction of Two Disease Spreading with Different Dynamics SIR and SIS

Abstract

Interaction between two diseases can be as competition and cooperation. In this work, we study these interactions for two diseases that spread simultaneously on a multiplex network. We assume that each disease spreads in one layer of the network with a different structure than the other layer. We consider an asymmetric case in which one disease propagates according to the SIR dynamics, and another one follows the dynamics of the SIS model. By using the heterogeneous mean-field theory, we find the epidemic threshold of each disease in the case of cooperation and competition. We also obtain the phase diagram of the model that contains information about the prevalence of diseases.

Keywords

• multilayer networks
• spreading processes
• epidemic threshold
• mean field approximation
• phase transition