Global stability analysis for SEIS models with n latent classes
We compute the basic reproduction ratio of a SEIS model withn classes of latent individuals and bilinear incidence.The system exhibits thetraditional behaviour. We prove that if R0 ≤1, then the disease-free equilibriumis globally asymptotically stable on the nonnegative orthant and ifR0 > 1, an...
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| Format: | Article |
| Language: | English |
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AIMS Press
2007-12-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.20 |
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| author | Napoleon Bame Samuel Bowong Josepha Mbang Gauthier Sallet Jean-Jules Tewa |
| author_facet | Napoleon Bame Samuel Bowong Josepha Mbang Gauthier Sallet Jean-Jules Tewa |
| author_sort | Napoleon Bame |
| collection | DOAJ |
| description | We compute the basic reproduction ratio of a SEIS model withn classes of latent individuals and bilinear incidence.The system exhibits thetraditional behaviour. We prove that if R0 ≤1, then the disease-free equilibriumis globally asymptotically stable on the nonnegative orthant and ifR0 > 1, an endemic equilibrium exists and is globally asymptotically stableon the positive orthant. |
| format | Article |
| id | doaj-art-cce560ca412d400aa7c5e7b3b432b935 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2007-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-cce560ca412d400aa7c5e7b3b432b9352025-01-24T01:57:50ZengAIMS PressMathematical Biosciences and Engineering1551-00182007-12-0151203310.3934/mbe.2008.5.20Global stability analysis for SEIS models with n latent classesNapoleon Bame0Samuel Bowong1Josepha Mbang2Gauthier Sallet3Jean-Jules Tewa4Department of Mathematics and Computer Science, University of DschangDepartment of Mathematics and Computer Science, University of DschangDepartment of Mathematics and Computer Science, University of DschangDepartment of Mathematics and Computer Science, University of DschangDepartment of Mathematics and Computer Science, University of DschangWe compute the basic reproduction ratio of a SEIS model withn classes of latent individuals and bilinear incidence.The system exhibits thetraditional behaviour. We prove that if R0 ≤1, then the disease-free equilibriumis globally asymptotically stable on the nonnegative orthant and ifR0 > 1, an endemic equilibrium exists and is globally asymptotically stableon the positive orthant.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.20nonlinear dynamical systemsepidemic modelsglobalstability. |
| spellingShingle | Napoleon Bame Samuel Bowong Josepha Mbang Gauthier Sallet Jean-Jules Tewa Global stability analysis for SEIS models with n latent classes Mathematical Biosciences and Engineering nonlinear dynamical systems epidemic models globalstability. |
| title | Global stability analysis for SEIS models with n latent classes |
| title_full | Global stability analysis for SEIS models with n latent classes |
| title_fullStr | Global stability analysis for SEIS models with n latent classes |
| title_full_unstemmed | Global stability analysis for SEIS models with n latent classes |
| title_short | Global stability analysis for SEIS models with n latent classes |
| title_sort | global stability analysis for seis models with n latent classes |
| topic | nonlinear dynamical systems epidemic models globalstability. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.20 |
| work_keys_str_mv | AT napoleonbame globalstabilityanalysisforseismodelswithnlatentclasses AT samuelbowong globalstabilityanalysisforseismodelswithnlatentclasses AT josephambang globalstabilityanalysisforseismodelswithnlatentclasses AT gauthiersallet globalstabilityanalysisforseismodelswithnlatentclasses AT jeanjulestewa globalstabilityanalysisforseismodelswithnlatentclasses |