Asymptotic analysis of SIR epidemic model with nonlocal diffusion and generalized nonlinear incidence functional

DOI10.1002/mma.8903zbMath1530.35040OpenAlexW4311212954MaRDI QIDQ6180855

Salih Djilali, Yuming Chen, Soufiane Bentout

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8903

zbMATH Keywords

Lyapunov functionglobal stabilitypersistencenonlocal diffusionSIR model

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic systems (35K45) Pattern formations in context of PDEs (35B36)

Cites Work

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• Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
• Global stability for an \textit{SEI} model of infectious disease with immigration
• Dynamics of a nonlocal dispersal SIS epidemic model
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
• Global analysis of an infection age model with a class of nonlinear incidence rates
• Numerical modelling of an SIR epidemic model with diffusion
• Global stability of a SIR epidemic model with nonlinear incidence rate and time delay
• Semigroups of linear operators and applications to partial differential equations
• Global stability of an SIR epidemic model with time delays
• A nonlocal anisotropic model for phase transitions
• Threshold behaviour of a stochastic SIR model
• Global dynamics of an SIR epidemic model with nonlocal diffusion
• Existence and non-existence of traveling wave solutions for a nonlocal dispersal SIR epidemic model with nonlinear incidence rate
• Asymptotic properties of a stochastic SIR epidemic model with Beddington-DeAngelis incidence rate
• Time periodic traveling waves for a periodic and diffusive SIR epidemic model
• Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay.
• The evolution of dispersal
• Global stability of an SIR epidemic model with delay and general nonlinear incidence
• Qualitative analysis of a diffusive SIR epidemic model with saturated incidence rate in a heterogeneous environment
• The periodic traveling waves in a diffusive periodic SIR epidemic model with nonlinear incidence
• A class of stochastic delayed SIR epidemic models with generalized nonlinear incidence rate and temporary immunity
• Global threshold dynamics of an infection age-structured SIR epidemic model with diffusion under the Dirichlet boundary condition
• Traveling waves in a nonlocal dispersal SIR model with non-monotone incidence
• Traveling wave solutions in a nonlocal dispersal SIR epidemic model with general nonlinear incidence
• Random dispersal vs. non-local dispersal
• Dynamics and asymptotical profiles of an age-structured viral infection model with spatial diffusion
• Threshold dynamics of an age-space structured brucellosis disease model with Neumann boundary condition
• Global dynamics in a reaction-diffusion multi-group SIR epidemic model with nonlinear incidence
• Dynamic behavior of an SIR epidemic model along with time delay; Crowley-Martin type incidence rate and Holling type II treatment rate
• Traveling waves in a nonlocal dispersal SIR epidemic model
• On the principal eigenvalue of some nonlocal diffusion problems
• An SIR epidemic model with free boundary
• Traveling waves for a nonlocal dispersal SIR model with standard incidence
• Traveling waves in a delayed SIR model with nonlocal dispersal and nonlinear incidence
• Lyapunov functional and global asymptotic stability for an infection-age model
• Stability of a Time Delayed SIR Epidemic Model Along with Nonlinear Incidence Rate and Holling Type-II Treatment Rate
• An infection age-space structured SIR epidemic model with Neumann boundary condition
• The spreading speed of an SIR epidemic model with nonlocal dispersal
• Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
• An infection age-space-structured SIR epidemic model with Dirichlet boundary condition
• Lyapunov functions and global stability for a spatially diffusive SIR epidemic model
• A delayed SIR epidemic model with a general incidence rate

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