Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions
The global stability of a multigroup SEIR epidemic model with general latency distribution and general incidence rate is investigated. Under the given assumptions, the basic reproduction number ℜ0 is defined and proved as the role of a threshold; that is, the disease-free equilibrium P0 is globally...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/740256 |
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| _version_ | 1832552976563044352 |
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| author | Nan Wang Jingmei Pang Jinliang Wang |
| author_facet | Nan Wang Jingmei Pang Jinliang Wang |
| author_sort | Nan Wang |
| collection | DOAJ |
| description | The global stability of a multigroup SEIR epidemic model with general latency distribution and general incidence rate is investigated. Under the given assumptions, the basic reproduction number ℜ0 is defined and proved as the role of a threshold; that is, the disease-free equilibrium P0 is globally asymptotically stable if ℜ0≤1, while an endemic equilibrium P* exists uniquely and is globally asymptotically stable if ℜ0>1. For the proofs, we apply the classical method of Lyapunov functionals and a recently developed graph-theoretic approach. |
| format | Article |
| id | doaj-art-47144e0b319747b68506ce0d1c6b1381 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-47144e0b319747b68506ce0d1c6b13812025-02-03T05:57:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/740256740256Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency DistributionsNan Wang0Jingmei Pang1Jinliang Wang2School of Mathematical Science, Heilongjiang University, Harbin 150080, ChinaSchool of Mathematical Science, Heilongjiang University, Harbin 150080, ChinaSchool of Mathematical Science, Heilongjiang University, Harbin 150080, ChinaThe global stability of a multigroup SEIR epidemic model with general latency distribution and general incidence rate is investigated. Under the given assumptions, the basic reproduction number ℜ0 is defined and proved as the role of a threshold; that is, the disease-free equilibrium P0 is globally asymptotically stable if ℜ0≤1, while an endemic equilibrium P* exists uniquely and is globally asymptotically stable if ℜ0>1. For the proofs, we apply the classical method of Lyapunov functionals and a recently developed graph-theoretic approach.http://dx.doi.org/10.1155/2014/740256 |
| spellingShingle | Nan Wang Jingmei Pang Jinliang Wang Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions Abstract and Applied Analysis |
| title | Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions |
| title_full | Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions |
| title_fullStr | Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions |
| title_full_unstemmed | Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions |
| title_short | Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions |
| title_sort | stability analysis of a multigroup seir epidemic model with general latency distributions |
| url | http://dx.doi.org/10.1155/2014/740256 |
| work_keys_str_mv | AT nanwang stabilityanalysisofamultigroupseirepidemicmodelwithgenerallatencydistributions AT jingmeipang stabilityanalysisofamultigroupseirepidemicmodelwithgenerallatencydistributions AT jinliangwang stabilityanalysisofamultigroupseirepidemicmodelwithgenerallatencydistributions |