Influence of infection rate and migration on extinction of disease in spatial epidemics
From MaRDI portal
Publication:1715448
DOI10.1016/j.jtbi.2010.01.006zbMath1406.92620OpenAlexW2047703092WikidataQ51728160 ScholiaQ51728160MaRDI QIDQ1715448
Quan-Xing Liu, Bai-Lian Li, Amit Chakraborty, Zhen Jin, Gui-Quan Sun
Publication date: 4 February 2019
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2010.01.006
Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Cellular automata (computational aspects) (68Q80)
Related Items (14)
A new small-world network created by cellular automata ⋮ Analytic function of local rules of elementary cellular automata ⋮ Global dynamics of autonomous and nonautonomous SI epidemic models with nonlinear incidence rate and feedback controls ⋮ Periodic solutions in an epidemic model with diffusion and delay ⋮ Modeling the influence of information on the coevolution of contact networks and the dynamics of infectious diseases ⋮ Global analysis of an SIS model with an infective vector on complex networks ⋮ DEMOGRAPHICS INDUCE EXTINCTION OF DISEASE IN AN SIS MODEL BASED ON CONDITIONAL MARKOV CHAIN ⋮ Influence of dynamical change of edges on clustering coefficients ⋮ On the stability of an SEIR epidemic model with distributed time-delay and a general class of feedback vaccination rules ⋮ Effect of time delay on pattern dynamics in a spatial epidemic model ⋮ Cross-diffusion-induced patterns in an SIR epidemic model on complex networks ⋮ Chaotic behavior of one-dimensional cellular automata rule 24 ⋮ Optimal information dissemination strategy to promote preventive behaviors in multilayer epidemic networks ⋮ Optimal control of pattern formations for an SIR reaction-diffusion epidemic model
Cites Work
- Spatiotemporal dynamics of the epidemic transmission in a predator-prey system
- The importance of being discrete (and spatial)
- Epidemic thresholds and vaccination in a lattice model of disease spread
- Facilitation, competition, and vegetation patchiness: from scale free distribution to patterns
- A fully coupled, mechanistic model for infectious disease dynamics in a metapopulation: movement and epidemic duration
- Spatial heterogeneity and the persistence of infectious diseases
- A multi-compartment cell repopulation model allowing for inter-compartmental migration following radiation exposure, applied to leukaemia
- The effect of static and dynamic spatially structured disturbances on a locally dispersing population
- Role of infection on the stability of a predator-prey system with several response functions -- a comparative study
- A diffusive SI model with Allee effect and application to FIV
- Endemic persistence or disease extinction: The effect of separation into sub-communities
- Modelling the effect of urbanization on the transmission of an infectious disease
This page was built for publication: Influence of infection rate and migration on extinction of disease in spatial epidemics
