Global stability of a multi-group model with vaccination age, distributed delay and random perturbation

DOI10.3934/mbe.2015.12.1083zbMath1322.34093OpenAlexW2463061716WikidataQ41048869 ScholiaQ41048869MaRDI QIDQ2351779

Yicang Zhou, Jinhu Xu

Publication date: 26 June 2015

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2015.12.1083

zbMATH Keywords

Lyapunov functionaldistributed delaystochastic perturbationvaccination agemulti-group

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Perturbations of functional-differential equations (34K27)

Related Items (11)

Traveling waves for SVIR epidemic model with nonlocal dispersal ⋮ Effects of stochastic perturbation and vaccinated age on a vector-borne epidemic model with saturation incidence rate ⋮ Modelling and analysis of global resurgence of mumps: a multi-group epidemic model with asymptomatic infection, general vaccinated and exposed distributions ⋮ Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies ⋮ Stability preserving NSFD scheme for a multi-group SVIR epidemic model ⋮ A nonstandard finite difference scheme for a multi-group epidemic model with time delay ⋮ Complex dynamics in a singular delayed bioeconomic model with and without stochastic fluctuation ⋮ Theoretical and numerical results for an age-structured SIVS model with a general nonlinear incidence rate ⋮ Input-to-state stability for stochastic multi-group models with multi-dispersal and time-varying delay ⋮ Stationary distribution of stochastic multi-group models with dispersal and telegraph noise ⋮ Global analysis of age-structured multi-stage epidemic models for infectious diseases

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