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Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions

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  • Nan Wang
  • Jingmei Pang
  • Jinliang Wang

Abstract

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 is defined and proved as the role of a threshold; that is, the disease-free equilibrium is globally asymptotically stable if , while an endemic equilibrium exists uniquely and is globally asymptotically stable if . For the proofs, we apply the classical method of Lyapunov functionals and a recently developed graph-theoretic approach.

Suggested Citation

  • Nan Wang & Jingmei Pang & Jinliang Wang, 2014. "Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, April.
    • Handle: RePEc:hin:jnlaaa:740256
    DOI: 10.1155/2014/740256
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