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An Stochastic Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission
  • +1
  • Wang xunyang,
  • Qihong Shi,
  • Huang canyun,
  • Hao yixin
Wang xunyang
Lanzhou University of Technology

Corresponding Author:[email protected]

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Qihong Shi
Lanzhou University of Technology
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Huang canyun
Lanzhou University of Technology
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Hao yixin
Lanzhou University of Technology
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Abstract

In this paper, a stochastic epidemic model with two different types of infectious diseases that spread through both horizontal and vertical transmission is investigaed. By constructing suitable Lyapunov functions and applying Itˆ o’s formula as well as Chebyshev’s inequality, the sufficient conditions for stochastic ultimate boundedness and permanence are established. The reliability of theoretical results are further illustrated by numerical simulations.