An SIS patch model with variable transmission coefficients
From MaRDI portal
Publication:554480
DOI10.1016/j.mbs.2011.05.001zbMath1218.92064OpenAlexW2133587230WikidataQ51564111 ScholiaQ51564111MaRDI QIDQ554480
Publication date: 4 August 2011
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mbs.2011.05.001
global stabilityuniform persistencebasic reproduction numberinfectious diseasepatch modelmedia coverage
Epidemiology (92D30) Dynamical systems in biology (37N25) Numerical analysis or methods applied to Markov chains (65C40)
Related Items (74)
Selected Topics on Reaction-Diffusion-Advection Models from Spatial Ecology ⋮ Coinfection dynamics of two diseases in a single host population ⋮ Stability analysis of a fractional order model for the HIV/AIDS epidemic in a patchy environment ⋮ The impact of vaccination on human papillomavirus infection with disassortative geographical mixing: a two-patch modeling study ⋮ Analysis on a diffusive SI epidemic model with logistic source and saturation infection mechanism ⋮ An SIR epidemic model with vaccination in a patchy environment ⋮ Threshold behaviour of a stochastic SIR model ⋮ Long-time dynamics of an SIRS reaction-diffusion epidemic model ⋮ Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion ⋮ Parasite sources and sinks in a patched Ross-Macdonald malaria model with human and mosquito movement: implications for control ⋮ Varying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic model ⋮ The consequences of habitat fragmentation on disease propagation ⋮ Critical result on the threshold of a stochastic SIS model with saturated incidence rate ⋮ Stability of a stochastic discrete SIS epidemic model with general nonlinear incidence rate ⋮ A cholera transmission model incorporating the impact of medical resources ⋮ A multiscale model of COVID-19 dynamics ⋮ The threshold of a stochastic SIRS model with vertical transmission and saturated incidence ⋮ Dynamics of a periodic tick-borne disease model with co-feeding and multiple patches ⋮ The limit behavior of SEIRS model in spatial grid ⋮ Impact of media coverage on epidemic spreading in complex networks ⋮ Modeling the spatial spread of rift valley fever in Egypt ⋮ Impact of awareness programs on cholera dynamics: two modeling approaches ⋮ Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix ⋮ Stability and bifurcation analysis of a two-patch SIS model on nosocomial infections ⋮ A mathematical model reveals the influence of NPIs and vaccination on SARS-CoV-2 omicron variant ⋮ Novel spatial profiles of some diffusive SIS epidemic models ⋮ Effects of behaviour change on HFMD transmission ⋮ An SIS epidemic model with mass action infection mechanism in a patchy environment ⋮ Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment ⋮ A diffusive SIS epidemic model with saturated incidence function in a heterogeneous environment * ⋮ Influence of human behavior on cholera dynamics ⋮ A generalization of a SIS epidemic model with fluctuations ⋮ Stability analysis and optimal control of an epidemic model with multidimensional information of media coverage on networks ⋮ Global stability and optimal control of a two-patch tuberculosis epidemic model using fractional-order derivatives ⋮ Stability and bifurcations of an SIR model with a nonlinear incidence rate ⋮ Analysis on a Spatial SIS Epidemic Model with Saturated Incidence Function in Advective Environments: I. Conserved Total Population ⋮ An SIS epidemic reaction-diffusion model with spontaneous infection in a spatially heterogeneous environment ⋮ Vector-borne disease models with Lagrangian approach ⋮ Dynamics of a two-patch SIR model with disease surveillance mediated infection force ⋮ Analysis of a two-patch SIS model with saturating contact rate and one-directing population dispersal ⋮ The network level reproduction number for infectious diseases with both vertical and horizontal transmission ⋮ Bifurcation and chaotic behavior of a discrete-time SIS model ⋮ How Does Dispersal Affect the Infection Size? ⋮ Analysis of a patch model for the dynamical transmission of echinococcosis ⋮ Effect of awareness programs on the epidemic outbreaks with time delay ⋮ Asymptotic behavior of global positive solution to a stochastic SIR model incorporating media coverage ⋮ Interaction of media and disease dynamics and its impact on emerging infection management ⋮ Global Hopf bifurcation analysis of an susceptible-infective-removed epidemic model incorporating media coverage with time delay ⋮ On the transmission of COVID-19 and its prevention and control management ⋮ Global dynamics of an HIV model incorporating senior male clients ⋮ Impact of state-dependent dispersal on disease prevalence ⋮ Ergodic stationary distribution and extinction of a hybrid stochastic SEQIHR epidemic model with media coverage, quarantine strategies and pre-existing immunity under discrete Markov switching ⋮ EFFECT OF MEDIA-INDUCED MODIFICATION OF TRAVEL RATES ON DISEASE TRANSMISSION IN A MULTIPLE PATCH SETTING ⋮ PERIODIC SOLUTION OF A STOCHASTIC SIQR EPIDEMIC MODEL INCORPORATING MEDIA COVERAGE ⋮ Theoretical analysis on a diffusive SIR epidemic model with nonlinear incidence in a heterogeneous environment ⋮ A weighted networked SIRS epidemic model ⋮ Habitat fragmentation promotes malaria persistence ⋮ An SIRS epidemic model incorporating media coverage with time delay ⋮ Global stability of equilibria of a diffusive SEIR epidemic model with nonlinear incidence ⋮ Qualitative analysis on an SIS epidemic reaction-diffusion model with mass action infection mechanism and spontaneous infection in a heterogeneous environment ⋮ A spatial SEIRS reaction-diffusion model in heterogeneous environment ⋮ Adaptive dispersal effect on the spread of a disease in a patchy environment ⋮ Dynamics analysis of typhoid fever with public health education programs and final epidemic size relation ⋮ Qualitative analysis of a class of SISM epidemic model influenced by media publicity ⋮ Concentration behavior of endemic equilibrium for a reaction-diffusion-advection SIS epidemic model with mass action infection mechanism ⋮ A mathematical model for the novel coronavirus epidemic in Wuhan, China ⋮ Fast diffusion inhibits disease outbreaks ⋮ Dynamical analysis of an SIS epidemic model with migration and residence time ⋮ Travel Frequency and Infectious Diseases ⋮ Classifying the level set of principal eigenvalue for time-periodic parabolic operators and applications ⋮ A mathematical model of cholera in a periodic environment with control actions ⋮ Dynamics and asymptotic profiles of endemic equilibrium for SIS epidemic patch models ⋮ Describing, modelling and forecasting the spatial and temporal spread of COVID-19: a short review ⋮ Large number of endemic equilibria for disease transmission models in patchy environment
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Effect of media-induced social distancing on disease transmission in a two patch setting
- The effect of population dispersal on the spread of a disease
- Global stabilization of nonlinear cascade systems
- Computation of threshold conditions for epidemiological models and global stability of the disease-free equilibrium (DFE)
- Monotone dependence of the spectral bound on the transition rates in linear compartment models
- An SIS infection model incorporating media coverage
- Dynamics of a periodically pulsed bio-reactor model
- Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity
- Threshold of disease transmission in a patch environment
- The effects of human movement on the persistence of vector-borne diseases
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- An epidemic model in a patchy environment
- Spreading disease with transport-related infection
- Media/psychological impact on multiple outbreaks of emerging infectious diseases
- A model for disease transmission in a patchy environment
- Decomposition techniques for large-scale systems with nonadditive interactions: Stability and stabilizability
- Perturbation of a globally stable steady state
- Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
- Dynamical systems in population biology
This page was built for publication: An SIS patch model with variable transmission coefficients