Dynamic Analysis of the Network Epidemic Model Based on White Noise

CAO Xiaochun; JING Wenjun; JIN Zhen

doi:10.21656/1000-0887.430009

Volume 43 Issue 6

Jun. 2022

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CAO Xiaochun, JING Wenjun, JIN Zhen. Dynamic Analysis of the Network Epidemic Model Based on White Noise[J]. Applied Mathematics and Mechanics, 2022, 43(6): 690-699. doi: 10.21656/1000-0887.430009

Citation:

CAO Xiaochun, JING Wenjun, JIN Zhen. Dynamic Analysis of the Network Epidemic Model Based on White Noise[J]. Applied Mathematics and Mechanics, 2022, 43(6): 690-699. doi: 10.21656/1000-0887.430009

Citation:

CAO Xiaochun, JING Wenjun, JIN Zhen. Dynamic Analysis of the Network Epidemic Model Based on White Noise[J]. Applied Mathematics and Mechanics, 2022, 43(6): 690-699. doi: 10.21656/1000-0887.430009

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Dynamic Analysis of the Network Epidemic Model Based on White Noise

doi: 10.21656/1000-0887.430009

CAO Xiaochun^1
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JING Wenjun^2
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JIN Zhen^{3
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1.
School of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, P.R.China
2.
School of Statistics, Shanxi University of Finance and Economics, Taiyuan 030006, P.R.China
3.
Complex Systems Research Center, Shanxi University, Taiyuan 030006, P.R.China

Received Date: 2022-01-14
Rev Recd Date: 2022-03-11

Available Online: 2022-05-12

Publish Date: 2022-06-30

Abstract

Abstract

Based on the deterministic network infectious disease model, a stochastic network infectious disease model under the influence of white noise was established, and the existence and uniqueness of the global solution to the model were proved. With the theory of stochastic differential equations, sufficient conditions for stochastic extinction and persistence of infectious diseases were obtained. The results show that, white noise has a great impact on the transmission dynamics of network infectious diseases. White noise can effectively suppress the spread of infectious diseases, and large white noise can even make the original persistent infectious diseases become extinct. Finally, the theoretical results were verified through numerical simulations.
- epidemic model,
- network,
- white noise

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References(16)

References

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