Influence of environmental pollution and bacterial hyper-infectivity on dynamics of a waterborne pathogen model with free boundaries

Meng Zhao; Jiancheng Liu; Yindi Zhang; Meng Zhao; Jiancheng Liu; Yindi Zhang

doi:10.3934/nhm.2024042

Networks and Heterogeneous Media

2024, Volume 19, Issue 3: 940-969. doi: 10.3934/nhm.2024042

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Influence of environmental pollution and bacterial hyper-infectivity on dynamics of a waterborne pathogen model with free boundaries

1.
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
2.
Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received: 04 May 2024 Revised: 12 August 2024 Accepted: 10 September 2024 Published: 23 September 2024

In this paper, we mainly study the influence of environmental pollution and bacterial hyper-infectivity on the spreading of diseases by considering a waterborne pathogen model with free boundaries. At first, the global existence and uniqueness of the solution to this problem is proved. Then, we analyze its longtime behavior, which is determined by a spreading-vanishing dichotomy. Furthermore, we obtain the criteria for spreading and vanishing. Our results indicate that environmental pollution and bacterial hyper-infectivity can increase the chance of epidemic spreading.
- waterborne diseases,
- environmental pollution,
- bacterial hyper-infectivity,
- free boundary problem,
- spreading and vanishing
Citation: Meng Zhao, Jiancheng Liu, Yindi Zhang. Influence of environmental pollution and bacterial hyper-infectivity on dynamics of a waterborne pathogen model with free boundaries[J]. Networks and Heterogeneous Media, 2024, 19(3): 940-969. doi: 10.3934/nhm.2024042

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Abstract

In this paper, we mainly study the influence of environmental pollution and bacterial hyper-infectivity on the spreading of diseases by considering a waterborne pathogen model with free boundaries. At first, the global existence and uniqueness of the solution to this problem is proved. Then, we analyze its longtime behavior, which is determined by a spreading-vanishing dichotomy. Furthermore, we obtain the criteria for spreading and vanishing. Our results indicate that environmental pollution and bacterial hyper-infectivity can increase the chance of epidemic spreading.

References

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