An SIRS model with differential susceptibility and infectivity on uncorrelated networks
We propose and study a model for sexually transmitted infections on uncorrelated networks, where both differential susceptibility and infectivity are considered. We first establish the spreading threshold, which exists even in the infinite networks. Moreover, it is possible to have backward bifurcat...
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| Format: | Article |
| Language: | English |
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AIMS Press
2014-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.415 |
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| _version_ | 1832590117768790016 |
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| author | Maoxing Liu Yuming Chen |
| author_facet | Maoxing Liu Yuming Chen |
| author_sort | Maoxing Liu |
| collection | DOAJ |
| description | We propose and study a model for sexually transmitted infections on uncorrelated networks, where both differential susceptibility and infectivity are considered. We first establish the spreading threshold, which exists even in the infinite networks. Moreover, it is possible to have backward bifurcation. Then for bounded hard-cutoff networks, the stability of the disease-free equilibrium and the permanence of infection are analyzed. Finally, the effects of two immunization strategies are compared. It turns out that, generally, the targeted immunization is better than the proportional immunization. |
| format | Article |
| id | doaj-art-5e48676298054fc19ef80c29f075dfab |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-5e48676298054fc19ef80c29f075dfab2025-01-24T02:31:53ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-12-0112341542910.3934/mbe.2015.12.415An SIRS model with differential susceptibility and infectivity on uncorrelated networksMaoxing Liu0Yuming Chen1Department of Mathematics, North University of China, Taiyuan, Shanxi 030051Department of Applied Mathematics, Yuncheng University, Yuncheng, Shanxi 044000We propose and study a model for sexually transmitted infections on uncorrelated networks, where both differential susceptibility and infectivity are considered. We first establish the spreading threshold, which exists even in the infinite networks. Moreover, it is possible to have backward bifurcation. Then for bounded hard-cutoff networks, the stability of the disease-free equilibrium and the permanence of infection are analyzed. Finally, the effects of two immunization strategies are compared. It turns out that, generally, the targeted immunization is better than the proportional immunization.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.415uncorrelated networksexually transmitted infectionspreading thresholdpermanence. |
| spellingShingle | Maoxing Liu Yuming Chen An SIRS model with differential susceptibility and infectivity on uncorrelated networks Mathematical Biosciences and Engineering uncorrelated network sexually transmitted infection spreading threshold permanence. |
| title | An SIRS model with differential susceptibility and infectivity on uncorrelated networks |
| title_full | An SIRS model with differential susceptibility and infectivity on uncorrelated networks |
| title_fullStr | An SIRS model with differential susceptibility and infectivity on uncorrelated networks |
| title_full_unstemmed | An SIRS model with differential susceptibility and infectivity on uncorrelated networks |
| title_short | An SIRS model with differential susceptibility and infectivity on uncorrelated networks |
| title_sort | sirs model with differential susceptibility and infectivity on uncorrelated networks |
| topic | uncorrelated network sexually transmitted infection spreading threshold permanence. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.415 |
| work_keys_str_mv | AT maoxingliu ansirsmodelwithdifferentialsusceptibilityandinfectivityonuncorrelatednetworks AT yumingchen ansirsmodelwithdifferentialsusceptibilityandinfectivityonuncorrelatednetworks AT maoxingliu sirsmodelwithdifferentialsusceptibilityandinfectivityonuncorrelatednetworks AT yumingchen sirsmodelwithdifferentialsusceptibilityandinfectivityonuncorrelatednetworks |