Iranian Journal of Physics Research

Interaction of Two Disease Spreading with Different Dynamics SIR and SIS

Document Type : Original Article

Authors

N Azimi 1
N Fardnia 2

1 Physics Department, Institute for Advanced Studies in Basic Sciences

2 Physics Department, Institute for Advanced Studies in Basic Sciences, Zanjan

https://doi.org/10.47176/ijpr.21.3.41234
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
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