Literature DB >> 20369959

A lyapunov function and global properties for sir and seir epidemiological models with nonlinear incidence.

Andrei Korobeinikov1, Philip K Maini.   

Abstract

Explicit Lyapunov functions for SIR and SEIR compartmental epidemic models with nonlinear incidence of the form betaI(p)S(q) for the case p </= 1 are constructed. Global stability of the models is thereby established.

Year:  2004        PMID： 20369959     DOI： 10.3934/mbe.2004.1.57

Source DB:  PubMed          Journal:  Math Biosci Eng        ISSN： 1547-1063            Impact factor:   2.080


  14 in total

1.  Global analysis on delay epidemiological dynamic models with nonlinear incidence.

Authors:  Gang Huang; Yasuhiro Takeuchi
Journal:  J Math Biol       Date:  2010-09-26       Impact factor: 2.259

2.  Stability of differential susceptibility and infectivity epidemic models.

Authors:  B Bonzi; A A Fall; A Iggidr; G Sallet
Journal:  J Math Biol       Date:  2010-02-11       Impact factor: 2.259

3.  Chaotic dynamics in the seasonally forced SIR epidemic model.

Authors:  Pablo G Barrientos; J Ángel Rodríguez; Alfonso Ruiz-Herrera
Journal:  J Math Biol       Date:  2017-04-22       Impact factor: 2.259

4.  Global dynamics of SIR model with switched transmission rate.

Authors:  Zuzana Chladná; Jana Kopfová; Dmitrii Rachinskii; Samiha C Rouf
Journal:  J Math Biol       Date:  2020-01-03       Impact factor: 2.259

5.  Spatial dynamics and optimization method for a rumor propagation model in both homogeneous and heterogeneous environment.

Authors:  Linhe Zhu; Xuewei Wang; Zhengdi Zhang; Chengxia Lei
Journal:  Nonlinear Dyn       Date:  2021-08-17       Impact factor: 5.022

6.  Exploring the Impact of Prostitution on HIV/AIDS Transmission.

Authors:  C P Bhunu; A N Mhlanga; S Mushayabasa
Journal:  Int Sch Res Notices       Date:  2014-10-30

7.  Parameter estimation and prediction for coronavirus disease outbreak 2019 (COVID-19) in Algeria.

Authors:  Soufiane Bentout; Abdennasser Chekroun; Toshikazu Kuniya
Journal:  AIMS Public Health       Date:  2020-05-22

8.  Modelling the outbreak of infectious disease following mutation from a non-transmissible strain.

Authors:  C Y Chen; J P Ward; W B Xie
Journal:  Theor Popul Biol       Date:  2018-08-27       Impact factor: 1.570

9.  Global stability analysis for a generalized delayed SIR model with vaccination and treatment.

Authors:  A Elazzouzi; A Lamrani Alaoui; M Tilioua; A Tridane
Journal:  Adv Differ Equ       Date:  2019-12-21

10.  Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator.

Authors:  Jana Kopfová; Petra Nábělková; Dmitrii Rachinskii; Samiha C Rouf
Journal:  J Math Biol       Date:  2021-07-04       Impact factor: 2.259
View more

北京卡尤迪生物科技股份有限公司 © 2022-2023.