The Physics Society of IranIranian Journal of Physics Research1682-695721320211122Interaction of Two Disease Spreading with Different Dynamics SIR and SISInteraction of Two Disease Spreading with Different Dynamics SIR and SIS495507174410.47176/ijpr.21.3.41234FAN AzimiPhysics Department, Institute for Advanced Studies in Basic SciencesN FardniaPhysics Department, Institute for Advanced Studies in Basic Sciences, ZanjanJournal Article20210414Interaction 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.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.https://ijpr.iut.ac.ir/article_1744_64c08570e8537fa27c2ef2f48826a3a4.pdf