Pattern Dynamics of Nonlocal Delay SI Epidemic Model with the Growth of the Susceptible following Logistic Mode
In this paper, we investigate pattern dynamics of a nonlocal delay SI epidemic model with the growth of susceptible population following logistic mode. Applying the linear stability theory, the condition that the model generates Turing instability at the endemic steady state is analyzed; then, the e...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/9217387 |
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| _version_ | 1832566366062772224 |
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| author | Zun-Guang Guo Jing Li Can Li Juan Liang Yiwei Yan |
| author_facet | Zun-Guang Guo Jing Li Can Li Juan Liang Yiwei Yan |
| author_sort | Zun-Guang Guo |
| collection | DOAJ |
| description | In this paper, we investigate pattern dynamics of a nonlocal delay SI epidemic model with the growth of susceptible population following logistic mode. Applying the linear stability theory, the condition that the model generates Turing instability at the endemic steady state is analyzed; then, the exact Turing domain is found in the parameter space. Additionally, numerical results show that the time delay has key effect on the spatial distribution of the infected, that is, time delay induces the system to generate stripe patterns with different spatial structures and affects the average density of the infected. The numerical simulation is consistent with the theoretical results, which provides a reference for disease prevention and control. |
| format | Article |
| id | doaj-art-c63981c810094b59b60c01af6acac57b |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c63981c810094b59b60c01af6acac57b2025-02-03T01:04:28ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/92173879217387Pattern Dynamics of Nonlocal Delay SI Epidemic Model with the Growth of the Susceptible following Logistic ModeZun-Guang Guo0Jing Li1Can Li2Juan Liang3Yiwei Yan4Department of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, ChinaCollege of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, Shanxi 030006, ChinaDepartment of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, ChinaDepartment of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, ChinaDepartment of Science, Taiyuan Institute of Technology, Taiyuan, Shanxi 030008, ChinaIn this paper, we investigate pattern dynamics of a nonlocal delay SI epidemic model with the growth of susceptible population following logistic mode. Applying the linear stability theory, the condition that the model generates Turing instability at the endemic steady state is analyzed; then, the exact Turing domain is found in the parameter space. Additionally, numerical results show that the time delay has key effect on the spatial distribution of the infected, that is, time delay induces the system to generate stripe patterns with different spatial structures and affects the average density of the infected. The numerical simulation is consistent with the theoretical results, which provides a reference for disease prevention and control.http://dx.doi.org/10.1155/2020/9217387 |
| spellingShingle | Zun-Guang Guo Jing Li Can Li Juan Liang Yiwei Yan Pattern Dynamics of Nonlocal Delay SI Epidemic Model with the Growth of the Susceptible following Logistic Mode Complexity |
| title | Pattern Dynamics of Nonlocal Delay SI Epidemic Model with the Growth of the Susceptible following Logistic Mode |
| title_full | Pattern Dynamics of Nonlocal Delay SI Epidemic Model with the Growth of the Susceptible following Logistic Mode |
| title_fullStr | Pattern Dynamics of Nonlocal Delay SI Epidemic Model with the Growth of the Susceptible following Logistic Mode |
| title_full_unstemmed | Pattern Dynamics of Nonlocal Delay SI Epidemic Model with the Growth of the Susceptible following Logistic Mode |
| title_short | Pattern Dynamics of Nonlocal Delay SI Epidemic Model with the Growth of the Susceptible following Logistic Mode |
| title_sort | pattern dynamics of nonlocal delay si epidemic model with the growth of the susceptible following logistic mode |
| url | http://dx.doi.org/10.1155/2020/9217387 |
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