Infection spreading in a population with evolving contacts
Damián H Zanette1, Sebastián Risau-Gusmán
1Consejo Nacional de Investigaciones Científicas y Técnicas, Centro Atómico Bariloche and Instituto Balseiro, Río Negro, Argentina. zanette@cab.cnea.gov.ar
Abstract:
We study the spreading of an infection within an SIS epidemiological model on a network. Susceptible agents are given the opportunity of breaking their links with infected agents. Broken links are either permanently removed or reconnected with the rest of the population. Thus, the network coevolves with the population as the infection progresses. We show that a moderate reconnection frequency is enough to completely suppress the infection. A partial, rather weak isolation of infected agents suffices to eliminate the endemic state.
Insights
A moderate reconnection frequency in networks can suppress infections. Even weak isolation of infected individuals is enough to eliminate the endemic state in epidemiological models.
Area of Science:
- Epidemiology
- Network Science
- Mathematical Biology
Background:
- The Susceptible-Infected-Susceptible (SIS) model is a fundamental framework for studying infectious disease dynamics.
- Network structures significantly influence disease transmission patterns.
- Agent behavior, such as link modification, can alter disease spread.
Purpose of the Study:
- To investigate the impact of dynamic network coevolution on infection spreading within an SIS model.
- To determine the effectiveness of agent-based link modification (breaking and reconnecting) in controlling epidemics.
- To assess the threshold for infection suppression based on reconnection frequency and isolation levels.
Main Methods:
- Simulation of an SIS epidemiological model on a coevolving network.
- Modeling susceptible agents breaking links with infected agents.
- Implementing two link-breaking outcomes: permanent removal and reconnection.
- Analyzing the effect of varying reconnection frequencies and isolation levels on infection prevalence.
Main Results:
- A moderate frequency of link reconnection among agents is sufficient to completely suppress infection spread.
- Even partial and weak isolation of infected agents can effectively eliminate the endemic state.
- The coevolution of the network structure with the infection dynamics plays a crucial role in disease control.
Conclusions:
- Dynamic network adaptation, specifically through link reconnection, offers a potent strategy for epidemic suppression.
- Targeted, non-stringent isolation measures can be highly effective in eradicating endemic infections in networked populations.
- The interplay between disease dynamics and network topology is critical for understanding and controlling infectious diseases.
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