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Epidemic Spread on One-Way Circular-Coupled Networks
1Department of Mathematics, Shanghai University, Shanghai, 200444 China.
Acta Mathematica Scientia = Shu Xue Wu Li Xue Bao
|April 15, 2020
Summary
This study models zoonotic disease spread on interconnected networks. Basic reproduction numbers depend on infection rates, periods, and network structure, crucial for understanding infectious disease dynamics.
Area of Science:
- Epidemiology
- Network Science
- Mathematical Biology
Background:
- Real-world epidemic networks are often interconnected, with varying topologies and dynamics.
- Zoonotic infections, originating in animals, spread via directed networks, necessitating specialized modeling.
Purpose of the Study:
- To investigate epidemic dynamics of zoonotic infections on unidirectional circular-coupled networks.
- To develop and analyze two distinct models: one with direct contact and one with vector-borne transmission.
Main Methods:
- Construction of two unidirectional three-layer circular interactive networks.
- Application of the heterogeneous mean-field approach.
- Mathematical analysis to determine basic reproduction numbers and stability of equilibria.
Main Results:
- Derived basic reproduction numbers for both direct contact and vector-borne transmission models.
- Identified key factors influencing basic reproduction numbers: infection rates, infection periods, average degrees, and degree ratios.
- Confirmed theoretical findings through numerical simulations.
Conclusions:
- The study provides a framework for understanding zoonotic disease spread in complex, interconnected network systems.
- The findings highlight the critical role of network structure and transmission routes in determining epidemic potential.
- Mathematical and simulation results offer insights into controlling zoonotic infections in real-world scenarios.
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