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DY: Fachverband Dynamik und Statistische Physik
DY 32: Posters DY - Statistical Physics, Brownian Motion and Nonlinear Dynamics
DY 32.19: Poster
Tuesday, March 23, 2021, 16:30–19:00, DYp
How to control a cooperative co-infection dynamics — Adib Khazaee1 and •Fakhteh Ghanbarnejad1,2 — 1Sharif University of Technology, Tehran, Iran — 2Technische Universität Dresden, Dresden, Germany
In previous studies, it has been shown that the cooperation between pathogens in co-infection spreading dynamics may lead to a discontinuous transition. Here, we are investigating how interventions like quarantine or vaccination with certain rates can turn the discontinuous transitions into continuous ones while increasing the threshold. We have used symmetric coupled Susceptible-Infectious-Recovered (SIR) equations to model the dynamics of co-infection spreading in a well-mixed population. Then we have intervened the epidemic dynamics by decreasing the susceptible population at a given rate, which means that the decreased susceptible compartment will be either quarantined or immunized at the same rate. Firstly, we have solved the equations numerically for a wide range of parameters and different initial conditions. We have illustrated how these interventions can change the type of the transition when the outflow rate gets large enough. Secondly, we have also solved the equations analytically for a special case in which the outflow rate varies with the size of the infectious compartment. Using the exact results for this special case, we can show how the characteristics of the fixed points change when the parameters change. Thirdly, we have explored the same dynamics on metapopulations and also agent based networks to examine how the topology of networks affects the effectiveness of interventions on the co-infection spread.