Year: 2025
Type: article
Abstract: In the standard SIR model on a graph, infected vertices infect their neighbors at rate α and recover at rate µ.We consider a two-type SIR process where each individual in the graph can be infected with two types of diseases, A and B.Moreover, the two diseases interact in a cooperative way so that an individual that has been infected with one type of disease can acquire the other at a higher rate.We prove that if the underlying graph is a Galton-Watson tree and initially the root is infected with both A and B, while all others are susceptible, then the two-type SIR model has the same critical value for the survival probability as the classic single-type model.
Source: Kybernetika
Authors: Ruibo Ma, Tai Heng Liu, Baghdadi Othmane, Dong Yao
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7117623966
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