Stationary distribution of a stochastic SIS epidemic model with double diseases and the Beddington-DeAngelis incidence

DOI10.1063/1.4986838zbMath1390.92144OpenAlexW2753773200WikidataQ40070475 ScholiaQ40070475MaRDI QIDQ4644267

Daqing Jiang, Qun Liu

Publication date: 30 May 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4986838

zbMATH Keywords

Lyapunov functionBeddington-DeAngelis incidencedouble diseases

Mathematics Subject Classification ID

Epidemiology (92D30) Lyapunov and storage functions (93D30) Stochastic stability in control theory (93E15)

Related Items

Dynamic behaviors of a two-group stochastic SIRS epidemic model with standard incidence rates, Dynamical behavior of a stochastic multigroup SIR epidemic model, Extinction, persistence and density function analysis of a stochastic two-strain disease model with drug resistance mutation, A stochastic predator-prey eco-epidemiological model with the fear effect, Dynamics of a stochastic SIQR epidemic model with saturated incidence rate, STOCHASTIC VIRUS DYNAMICS WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE, Dynamics of a stochastic multigroup SIQR epidemic model with standard incidence rates, Dynamics of an avian influenza model with half-saturated incidence, Positive recurrence and extinction of hybrid stochastic SIRS model with nonlinear incidence rate, Dynamics of a multigroup SIRS epidemic model with random perturbations and varying total population size, A SIRD epidemic model with community structure, Threshold behavior in a stochastic SIR epidemic model with logistic birth, Analysis of a deterministic and a stochastic SIS epidemic model with double epidemic hypothesis and specific functional response, Stochastic analysis of a SIRI epidemic model with double saturated rates and relapse

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lyapunov functions and global stability for \(SIR\) and \(SIRS\) epidemiological models with non-linear transmission
• Necessary and sufficient condition for extinction and persistence of SIRS system with random perturbation
• Survival and stationary distribution of a SIR epidemic model with stochastic perturbations
• The threshold of a stochastic SIS epidemic model with vaccination
• The existence of codimension-two bifurcation in a discrete SIS epidemic model with standard incidence
• Long-time behaviour of a perturbed SIR model by white noise
• Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
• Stability and bifurcation of an SIS epidemic model with treatment
• Asymptotic behavior of global positive solution to a stochastic SIR model
• Backward bifurcation and global dynamics of an SIS epidemic model with general incidence rate and treatment
• Numerical simulation of stochastic ordinary differential equations in biomathematical modelling.
• The asymptotic behavior of a chemostat model with the Beddington-DeAngelis functional response.
• The threshold of a stochastic delayed SIR epidemic model with temporary immunity
• The threshold of a stochastic delayed SIR epidemic model with vaccination
• The extinction and persistence of the stochastic SIS epidemic model with vaccination
• Endemic threshold results for an age-structured SIS epidemic model with periodic parameters
• Dynamics of a novel nonlinear SIR model with double epidemic hypothesis and impulsive effects
• A Stochastic Differential Equation SIS Epidemic Model
• The Influence of External Real and White Noise on the L<scp>OTKA</scp>‐V<scp>OLTERRA</scp> Model
• Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
• On the dynamics of predator-prey models with the Beddington-DeAngelis functional response