Global properties of a two-scale network stochastic delayed human epidemic dynamic model
From MaRDI portal
Publication:420113
DOI10.1016/j.nonrwa.2011.08.017zbMath1238.60046OpenAlexW2090846092MaRDI QIDQ420113
Divine Wanduku, Gangaram S. Ladde
Publication date: 20 May 2012
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.08.017
Lyapunov functionalstochastic asymptotic stabilitydisease-free steady statepositively invariant setthreshold value
Related Items
Relating Eulerian and Lagrangian spatial models for vector-host disease dynamics through a fundamental matrix, The stochastic extinction and stability conditions for nonlinear malaria epidemics, Solutions for a fractional diffusion equation with noninteger dimensions, Threshold conditions for a family of epidemic dynamic models for malaria with distributed delays in a non-random environment, Stability of stochastic SIRS epidemic models with saturated incidence rates and delay, Some asymptotic properties of SEIRS models with nonlinear incidence and random delays, The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence, Complete global analysis of a two-scale network SIRS epidemic dynamic model with distributed delay and random perturbations, Lyapunov functions to Caputo reaction-diffusion fractional neural networks with time-varying delays, Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks, Lyapunov functions to Caputo fractional neural networks with time-varying delays, The stationary distribution and stochastic persistence for a class of disease models: Case study of malaria, Lévy-type nonlinear stochastic dynamic model, method and analysis, Modeling Highly Random Dynamical Infectious Systems, Modeling the Stochastic Dynamics of Influenza Epidemics with Vaccination Control, and the Maximum Likelihood Estimation of Model Parameters, ANALYSIS OF A STOCHASTIC HBV INFECTION MODEL WITH NONLINEAR INCIDENCE RATE
Cites Work
- Unnamed Item
- Unnamed Item
- Simulating the effect of quarantine on the spread of the 1918--19 flu in Central Canada
- A two-scale network dynamic model for human mobility process
- Global stability of two-group SIR model with random perturbation
- A stochastic model of AIDS and condom use
- Models of infectious diseases in spatially heterogeneous environments
- Global stability of a delayed SIRS model with temporary immunity
- A mathematical model for the global spread of influenza
- A mathematical model for predicting the geographic spread of new infectious agents
- Random differential inequalities
- Cellular systems. I: Stability of chemical systems
- Cellular systems. II: Stability of compartmental systems
- Global stability of an SIR epidemic model with time delays
- The effects of human movement on the persistence of vector-borne diseases
- An epidemic model in a patchy environment
- A structured epidemic model incorporating geographic mobility among regions
- Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate
- Stability and bifurcation analysis in a delayed SIR model
- A stochastic model for internal HIV dynamics
- The effect of global travel on the spread of SARS
- Global stability of an SIRS epidemic model with delays
- An SIRS model with a nonlinear incidence rate
- Numerical solution of stochastic differential problems in the biosciences
- Numerical Analysis of Explicit One-Step Methods for Stochastic Delay Differential Equations
- Convergence results in SIR epidemic models with varying population sizes
- A multi-city epidemic model
- An Age-Structured Epidemic Model in a Patchy Environment
- STABILITY OF STOCHASTIC DELAYED SIR MODEL
- A multi-species epidemic model with spatial dynamics
- Modeling and analysis of a marine bacteriophage infection with latency period
