Literature DB >> 7881192

Global stability for the SEIR model in epidemiology.

M Y Li1, J S Muldowney.   

Abstract

The SEIR model with nonlinear incidence rates in epidemiology is studied. Global stability of the endemic equilibrium is proved using a general criterion for the orbital stability of periodic orbits associated with higher-dimensional nonlinear autonomous systems as well as the theory of competitive systems of differential equations.

Mesh：

Year:  1995        PMID： 7881192     DOI： 10.1016/0025-5564(95)92756-5

Source DB:  PubMed          Journal:  Math Biosci        ISSN： 0025-5564            Impact factor:   2.144


  67 in total

1.  Conditions for Global Stability of Monotone Tridiagonal Systems with Negative Feedback.

Authors:  Liming Wang; Patrick De Leenheer; Eduardo D Sontag
Journal:  Syst Control Lett       Date:  2010-02       Impact factor: 2.804

2.  On the uniqueness of epidemic models fitting a normalized curve of removed individuals.

Authors:  Ayse Humeyra Bilge; Funda Samanlioglu; Onder Ergonul
Journal:  J Math Biol       Date:  2014-10-14       Impact factor: 2.259

3.  A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate.

Authors:  Qixing Han; Liang Chen; Daqing Jiang
Journal:  Sci Rep       Date:  2017-06-21       Impact factor: 4.379

4.  Stage-structured cannibalism with delay in maturation and harvesting of an adult predator.

Authors:  Joydeb Bhattacharyya; Samares Pal
Journal:  J Biol Phys       Date:  2012-11-22       Impact factor: 1.365

5.  Population dynamic interference among childhood diseases.

Authors:  P Rohani; D J Earn; B Finkenstädt; B T Grenfell
Journal:  Proc Biol Sci       Date:  1998-11-07       Impact factor: 5.349

6.  Global stability properties of a class of renewal epidemic models.

Authors:  Michael T Meehan; Daniel G Cocks; Johannes Müller; Emma S McBryde
Journal:  J Math Biol       Date:  2019-02-09       Impact factor: 2.259

7.  A mathematical and numerical study of a SIR epidemic model with time delay, nonlinear incidence and treatment rates.

Authors:  Kanica Goel
Journal:  Theory Biosci       Date:  2019-01-21       Impact factor: 1.919

8.  Outbreak dynamics of COVID-19 in Europe and the effect of travel restrictions.

Authors:  Kevin Linka; Mathias Peirlinck; Francisco Sahli Costabal; Ellen Kuhl
Journal:  Comput Methods Biomech Biomed Engin       Date:  2020-05-05       Impact factor: 1.763

9.  Backward bifurcations, turning points and rich dynamics in simple disease models.

Authors:  Wenjing Zhang; Lindi M Wahl; Pei Yu
Journal:  J Math Biol       Date:  2016-02-26       Impact factor: 2.259

10.  An Epidemiological Model of Malaria Accounting for Asymptomatic Carriers.

Authors:  Jacob B Aguilar; Juan B Gutierrez
Journal:  Bull Math Biol       Date:  2020-03-14       Impact factor: 1.758
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