DYNAMICS OF AN SIRS EPIDEMIC MODEL WITH TIME DELAY AND FREE BOUNDARIES

Yindi Zhang; Meng Zhao

doi:10.11948/20240435

2025 Volume 15 Issue 4

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Yindi Zhang, Meng Zhao. DYNAMICS OF AN SIRS EPIDEMIC MODEL WITH TIME DELAY AND FREE BOUNDARIES[J]. Journal of Applied Analysis & Computation, 2025, 15(4): 2258-2284. doi: 10.11948/20240435

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Yindi Zhang, Meng Zhao. DYNAMICS OF AN SIRS EPIDEMIC MODEL WITH TIME DELAY AND FREE BOUNDARIES[J]. Journal of Applied Analysis & Computation, 2025, 15(4): 2258-2284. doi: 10.11948/20240435

DYNAMICS OF AN SIRS EPIDEMIC MODEL WITH TIME DELAY AND FREE BOUNDARIES

Yindi Zhang^1,,
Meng Zhao^1, ,

1.
College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu 730000, China

Author Bio: Email: 3251267342@qq.com(Y. Zhang)
Corresponding author: Email: zhaom@nwnu.edu.cn(M. Zhao)

Abstract

Abstract

In this paper, an SIRS epidemic model with time delay and free boundaries is studied. At first, we prove the global existence and uniqueness of the solution. And then we obtain criteria for spreading and vanishing. Moreover, the long-time behavior of the solution is given by a spreading-vanishing dichotomy. Finally, the numerical simulations are provided to illustrate our results. Our results indicate that the time delay can slow down the spreading of epidemic.
- An SIRS epidemic model /
- time delay /
- free boundary /
- spreading-vanishing dichotomy
MSC: 35K57, 35B40, 92D30

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References

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