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Mapping Bacterial Functional Networks and Pathways in Escherichia Coli using Synthetic Genetic Arrays
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Epidemic Spread on One-Way Circular-Coupled Networks.

Zhongpu Xu1, Xinchu Fu1

  • 1Department of Mathematics, Shanghai University, Shanghai, 200444 China.

Acta Mathematica Scientia = Shu Xue Wu Li Xue Bao
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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.

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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.