Analysis of a general multi-group reaction-diffusion epidemic model with nonlinear incidence and temporary acquired immunity
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Publication:1998389
DOI10.1016/j.matcom.2020.11.002OpenAlexW3100955342WikidataQ110649133 ScholiaQ110649133MaRDI QIDQ1998389
Long Zhang, Yantao Luo, Ting-Ting Zheng, Zhi-Dong Teng
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2020.11.002
Numerical linear algebra (65Fxx) Basic linear algebra (15Axx) Linear and multilinear algebra; matrix theory (15-XX) Special matrices (15Bxx)
Related Items (4)
Dynamical analysis of a multi-group SIR epidemic model with nonlocal diffusion and nonlinear incidence rate ⋮ Dynamics in a reaction-diffusion epidemic model via environmental driven infection in heterogenous space ⋮ Stationary distribution and extinction of a stochastic multigroup DS-DI-a model for the transmission of HIV ⋮ Positivity-preserving numerical method for a stochastic multi-group SIR epidemic model
Cites Work
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- A reaction-diffusion malaria model with incubation period in the vector population
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Spreading speed and traveling waves for a multi-type SIS epidemic model
- The effects of pulse vaccination on SEIR model with two time delays
- Global stability of multi-group epidemic models with distributed delays
- Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
- Dynamical analysis of a fractional SIR model with birth and death on heterogeneous complex networks
- Spatiotemporal transmission dynamics for influenza disease in a heterogenous environment
- A stochastic SIRS epidemic model with nonlinear incidence rate
- A periodic SEIRS epidemic model with a time-dependent latent period
- A reaction-diffusion within-host HIV model with cell-to-cell transmission
- A cholera epidemic model in a spatiotemporally heterogeneous environment
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Robust persistence for semidynamical systems.
- Complex dynamics of a reaction-diffusion epidemic model
- Global stability of a diffusive and delayed virus infection model with general incidence function and adaptive immune response
- Analysis of an age-structured multi-group heroin epidemic model
- Global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence
- Asymptotical profiles of a viral infection model with multi-target cells and spatial diffusion
- Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment
- A spatial SEIRS reaction-diffusion model in heterogeneous environment
- Strong convergence of the partially truncated Euler-Maruyama scheme for a stochastic age-structured SIR epidemic model
- Global dynamics in a reaction-diffusion multi-group SIR epidemic model with nonlinear incidence
- Global dynamics of a general class of multi-group epidemic models with latency and relapse
- Divergence theorems and the supersphere
- GLOBAL DYNAMICS OF A MULTI-GROUP EPIDEMIC MODEL WITH GENERAL RELAPSE DISTRIBUTION AND NONLINEAR INCIDENCE RATE
- Global Dynamics of a General Class of Multistage Models for Infectious Diseases
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- A graph-theoretic approach to the method of global Lyapunov functions
- Global Behavior of a Multi-Group SIR Epidemic Model with Age Structure and an Application to the Chlamydia Epidemic in Japan
- Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
- Dynamical Behavior and Bifurcation Analysis of the SIR Model with Continuous Treatment and State-Dependent Impulsive Control
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Dynamical systems in population biology
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