The Global Dynamics of an Age-Structured Hand-Foot-Mouth Disease Model with Saturation Incidence and Time Delay
The global dynamic behavior of an age-structured hand-foot-mouth disease (HFMD) model with saturation incidence and time delay is investigated in the work. The time delay occurs during the transition from latent to infectious individuals. Firstly, the model is expressed as an abstract Cauchy problem...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2023/7090661 |
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| _version_ | 1832549732699865088 |
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| author | Dongxue Yan Mengqi Zhang Jiashan Tang |
| author_facet | Dongxue Yan Mengqi Zhang Jiashan Tang |
| author_sort | Dongxue Yan |
| collection | DOAJ |
| description | The global dynamic behavior of an age-structured hand-foot-mouth disease (HFMD) model with saturation incidence and time delay is investigated in the work. The time delay occurs during the transition from latent to infectious individuals. Firstly, the model is expressed as an abstract Cauchy problem. The presence of equilibria is then pointed; meanwhile, we define the model’s basic reproduction number R0. The conclusions show that a threshold of R0=1 can be used to evaluate whether the disease is on the verge of extinction or is still present. When R0<1, the disease-free equilibrium is globally stable. While R0>1, there exists an endemic equilibrium, and the global stability of the endemic equilibrium is also demonstrated. Finally, some numerical examples are given to demonstrate the obtained conclusions. |
| format | Article |
| id | doaj-art-94df828133754859ae2f20a0dd4c552a |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-94df828133754859ae2f20a0dd4c552a2025-02-03T06:08:39ZengWileyDiscrete Dynamics in Nature and Society1607-887X2023-01-01202310.1155/2023/7090661The Global Dynamics of an Age-Structured Hand-Foot-Mouth Disease Model with Saturation Incidence and Time DelayDongxue Yan0Mengqi Zhang1Jiashan Tang2College of ScienceCollege of ScienceCollege of ScienceThe global dynamic behavior of an age-structured hand-foot-mouth disease (HFMD) model with saturation incidence and time delay is investigated in the work. The time delay occurs during the transition from latent to infectious individuals. Firstly, the model is expressed as an abstract Cauchy problem. The presence of equilibria is then pointed; meanwhile, we define the model’s basic reproduction number R0. The conclusions show that a threshold of R0=1 can be used to evaluate whether the disease is on the verge of extinction or is still present. When R0<1, the disease-free equilibrium is globally stable. While R0>1, there exists an endemic equilibrium, and the global stability of the endemic equilibrium is also demonstrated. Finally, some numerical examples are given to demonstrate the obtained conclusions.http://dx.doi.org/10.1155/2023/7090661 |
| spellingShingle | Dongxue Yan Mengqi Zhang Jiashan Tang The Global Dynamics of an Age-Structured Hand-Foot-Mouth Disease Model with Saturation Incidence and Time Delay Discrete Dynamics in Nature and Society |
| title | The Global Dynamics of an Age-Structured Hand-Foot-Mouth Disease Model with Saturation Incidence and Time Delay |
| title_full | The Global Dynamics of an Age-Structured Hand-Foot-Mouth Disease Model with Saturation Incidence and Time Delay |
| title_fullStr | The Global Dynamics of an Age-Structured Hand-Foot-Mouth Disease Model with Saturation Incidence and Time Delay |
| title_full_unstemmed | The Global Dynamics of an Age-Structured Hand-Foot-Mouth Disease Model with Saturation Incidence and Time Delay |
| title_short | The Global Dynamics of an Age-Structured Hand-Foot-Mouth Disease Model with Saturation Incidence and Time Delay |
| title_sort | global dynamics of an age structured hand foot mouth disease model with saturation incidence and time delay |
| url | http://dx.doi.org/10.1155/2023/7090661 |
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