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Updated: Apr 19, 2026

A Comparative Approach to Characterize the Landscape of Host-Pathogen Protein-Protein Interactions
Published on: July 18, 2013
A unified framework of mutual influence between two pathogens in multiplex networks
Yanping Zhao1, Muhua Zheng1, Zonghua Liu1
1Department of Physics, East China Normal University, Shanghai 200062, China.
Abstract:
There are many evidences to show that different pathogens may interplay each other and cause a variety of mutual influences of epidemics in multiplex networks, but it is still lack of a framework to unify all the different dynamic outcomes of the interactions between the pathogens. We here study this problem and first time present the concept of state-dependent infectious rate, in contrast to the constant infectious rate in previous studies. We consider a model consisting of a two-layered network with one pathogen on the first layer and the other on the second layer, and show that all the different influences between the two pathogens can be given by the different range of parameters in the infectious rates, which includes the cases of mutual enhancement, mutual suppression, and even initial cooperation (suppression) induced final suppression (acceleration). A theoretical analysis is present to explain the numerical results.
Insights
This study introduces a new framework for understanding how different pathogens interact in complex networks. It reveals that pathogen interactions, including mutual enhancement or suppression, depend on a novel "state-dependent infectious rate."
Area of Science:
- Epidemiology
- Network Science
- Mathematical Biology
Background:
- Pathogen interactions and their epidemic influences in multiplex networks are widely observed.
- Existing frameworks lack a unified approach to describe diverse dynamic outcomes of pathogen interplay.
- Previous models often assume a constant infectious rate, limiting the scope of interaction dynamics.
Purpose of the Study:
- To develop a unified framework for understanding pathogen interactions in multiplex networks.
- To introduce and investigate the concept of a state-dependent infectious rate.
- To explain diverse interaction outcomes, including mutual enhancement, suppression, and complex temporal effects.
Main Methods:
- Development of a theoretical model incorporating a two-layered multiplex network.
- Introduction of a state-dependent infectious rate, varying based on pathogen states.
- Numerical simulations and theoretical analysis to explore parameter spaces and predict outcomes.
Main Results:
- Demonstrated that a state-dependent infectious rate can unify various pathogen interaction dynamics.
- Identified parameter ranges corresponding to mutual enhancement, mutual suppression, and complex feedback loops.
- Showcased scenarios where initial cooperation leads to final suppression, and vice versa.
Conclusions:
- The state-dependent infectious rate provides a novel and unified perspective on pathogen co-epidemics.
- This framework accurately captures complex interdependencies and dynamic shifts in pathogen interactions.
- The findings offer a more comprehensive understanding of disease dynamics in interconnected systems.
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