A stochastic SIRS epidemic model with nonlinear incidence rate

From MaRDI portal
Publication:1735437

DOI10.1016/j.amc.2017.02.003zbMath1411.92267OpenAlexW2590853784MaRDI QIDQ1735437

Yun Kang, Yongli Cai, Weiming Wang

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.02.003



Related Items

The effect of environmental noise on threshold dynamics for a stochastic viral infection model with two modes of transmission and immune impairment, Stationary distribution, extinction and probability density function of a stochastic vegetation-water model in arid ecosystems, Analysis of stochastic delayed SIRS model with exponential birth and saturated incidence rate, Stationary distribution and probability density function of a stochastic SIRSI epidemic model with saturation incidence rate and logistic growth, Stationary distribution of a stochastic cholera model with imperfect vaccination, A stochastic SIRS epidemic model with logistic growth and general nonlinear incidence rate, Impact of environmental noises on the stability of a waterborne pathogen model, Dynamics analysis of stochastic modified Leslie-Gower model with time-delay and Michaelis-Menten type prey harvest, Qualitative analysis of an HIV/AIDS model with treatment and nonlinear perturbation, Stabilization of stochastic complex-valued coupled delayed systems with Markovian switching via periodically intermittent control, Dynamics of a stochastic delayed SIR epidemic model with vaccination and double diseases driven by Lévy jumps, Stochastic persistence and stationary distribution in an SIS epidemic model with media coverage, Dynamics of epidemic spreading model with drug-resistant variation on scale-free networks, Modelling a stochastic HIV model with logistic target cell growth and nonlinear immune response function, Periodic solution and ergodic stationary distribution of two stochastic SIQS epidemic systems, The threshold of a periodic stochastic SIVS epidemic model with nonlinear incidence, Stationary distribution of a stochastic SIQR epidemic model with saturated incidence and degenerate diffusion, The effect of media coverage on threshold dynamics for a stochastic SIS epidemic model, Stationary distribution of a stochastic delayed SVEIR epidemic model with vaccination and saturation incidence, A stochastic \textit{feline} immunodeficiency virus model with vertical transmission, A stochastic differential equation SIS epidemic model incorporating Ornstein-Uhlenbeck process, Stochastic asymptotic analysis of a multi-host model with vector transmission, Nontrivial periodic solution for a stochastic brucellosis model with application to Xinjiang, China, The effects of toxin-producing phytoplankton and environmental fluctuations on the planktonic blooms, Stationary distribution of a stochastic predator-prey model with distributed delay and general functional response, Threshold of a regime-switching SIRS epidemic model with a ratio-dependent incidence rate, Long time behaviors of single-species population models with psychological effect and impulsive toxicant in polluted environments, Transmission dynamics of Zika virus with spatial structure -- a case study in Rio de Janeiro, Brazil, On invariant measures and the asymptotic behavior of a stochastic delayed SIRS epidemic model, Analysis of stochastic multimolecular biochemical reaction model with Lévy jumps, Optimal harvesting policy of logistic population model in a randomly fluctuating environment, The stochastic extinction and stability conditions for nonlinear malaria epidemics, A theta-scheme approximation of basic reproduction number for an age-structured epidemic system in a finite horizon, Dynamics analysis of a stochastic SIRS epidemic model with nonlinear incidence rate and transfer from infectious to susceptible, Dynamics of a multigroup SIS epidemic model with standard incidence rates and Markovian switching, Stationary distribution of a stochastic staged progression HIV model with imperfect vaccination, The dynamics of a stochastic vaccinated tuberculosis model with treatment, A stochastic SIS epidemic model with saturating contact rate, An HIV latent infection model with cell-to-cell transmission and stochastic perturbation, Extinction and stationary distribution of a stochastic SIRS epidemic model with standard incidence rate and partial immunity, Stationary distribution for stochastic coupled systems with regime switching and feedback control, Optimal harvesting strategy for a stochastic mutualism system in a polluted environment with regime switching, Analysis of a stochastic predator-prey system with modified Leslie-Gower and Holling-type IV schemes, Threshold behavior in two types of stochastic three strains influenza virus models, Dynamical behavior of stochastic multigroup S-DI-A epidemic models for the transmission of HIV, Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate, Dynamics of a stochastic COVID-19 epidemic model with jump-diffusion, Stochastic physics-informed neural ordinary differential equations, Ergodic property, extinction and density function of a stochastic SIR epidemic model with nonlinear incidence and general stochastic perturbations, Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence, Application of stochastic inequalities to global analysis of a nonlinear stochastic SIRS epidemic model with saturated treatment function, Dynamical analysis of a ratio-dependent predator-prey model with Holling III type functional response and nonlinear harvesting in a random environment, Bifurcations of an SIRS model with generalized non-monotone incidence rate, Global dynamics of the multi-lingual SIR rumor spreading model with cross-transmitted mechanism, Analysis of a vector-bias malaria transmission model with application to Mexico, Sudan and Democratic Republic of the Congo, The gestation delay: a factor causing complex dynamics in Gause-type competition models, A stochastic HIV infection model with latent infection and antiretroviral therapy, On vaccination strategies for a SISV epidemic model guaranteeing the nonexistence of endemic solutions, Spatiotemporal transmission dynamics for influenza disease in a heterogenous environment, Stochastic periodic solution of a susceptible-infective epidemic model in a polluted environment under environmental fluctuation, Dynamics of a stochastic HBV infection model with cell-to-cell transmission and immune response, Global stability for novel complicated SIR epidemic models with the nonlinear recovery rate and transfer from being infectious to being susceptible to analyze the transmission of COVID-19, Stationary solution, extinction and density function for a high-dimensional stochastic SEI epidemic model with general distributed delay, 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, Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation, Analysis of a general multi-group reaction-diffusion epidemic model with nonlinear incidence and temporary acquired immunity, The stationary distribution in a class of stochastic SIRS epidemic models with non-monotonic incidence and degenerate diffusion, Dynamics of a stochastic delayed Harrison-type predation model: effects of delay and stochastic components, Stability of a stochastic one-predator-two-prey population model with time delays, Sharp conditions for the existence of a stationary distribution in one classical stochastic chemostat, To apprehend or not to apprehend: a mathematical model for ending student strikes in a university, The epidemic spreading on the multi-relationships network, Input-to-state stability for stochastic multi-group models with multi-dispersal and time-varying delay, Survival and ergodicity of a stochastic phytoplankton-zooplankton model with toxin-producing phytoplankton in an impulsive polluted environment, Analysis of a stochastic HIV-1 infection model with degenerate diffusion, Dynamics of task allocation in social insect colonies: scaling effects of colony size versus work activities, Extinction and stationary distribution of an impulsive stochastic chemostat model with nonlinear perturbation, Impact of cell size effect on nutrient-phytoplankton dynamics, Density function analysis for a stochastic SEIS epidemic model with non-degenerate diffusion, Positive recurrence and extinction of hybrid stochastic SIRS model with nonlinear incidence rate, Turing patterns in a diffusive epidemic model with saturated infection force, Stationary distribution of a stochastic cholera model between communities linked by migration, Viral dynamics of an HIV stochastic model with cell-to-cell infection, CTL immune response and distributed delays, Dynamics and asymptotic profiles of steady states of an SIRS epidemic model in spatially heterogenous environment, Stationary distribution and periodic solution of stochastic toxin-producing phytoplankton-zooplankton systems, Stationary distribution and extinction of a stochastic SIQR model with saturated incidence rate, Dynamical analysis of a stochastic toxin-producing phytoplankton-fish system with harvesting, Mathematical evaluation of the role of cross immunity and nonlinear incidence rate on the transmission dynamics of two dengue serotypes, Complicated endemics of an SIRS model with a generalized incidence under preventive vaccination and treatment controls, Threshold behavior in a stochastic SIR epidemic model with logistic birth, Stationary distribution of an HIV model with general nonlinear incidence rate and stochastic perturbations, Analysis of a Bailey-Dietz model for vector-borne disease under regime switching, Environmental variability in a stochastic epidemic model, Threshold dynamics of a stochastic SIVS model with saturated incidence and Lévy jumps, Analysis of a stochastic SIR model with vaccination and nonlinear incidence rate, Stability and asymptotic behavior of a regime-switching SIRS model with Beddington-DeAngelis incidence rate, Stationary distribution, extinction, density function and periodicity of an \(n\)-species competition system with infinite distributed delays and nonlinear perturbations, Asymptotic analysis of a nonlinear stochastic eco-epidemiological system with feedback control, The general chemostat model with multiple nutrients and flocculating agent: from deterministic behavior to stochastic forcing transition, Dynamical behavior of stochastic SIRS model with two different incidence rates and Markovian switching, The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence, A Mathematical Study of Pandemic COVID-19 Virus with Special Emphasis on Uncertain Environments, The impact of hospital resources and environmental perturbations to the dynamics of SIRS model, Ergodic stationary distribution of a stochastic nonlinear epidemic model with relapse and cure, Effects of stochastic perturbation and vaccinated age on a vector-borne epidemic model with saturation incidence rate, Dynamics of a stochastic SIQR epidemic model with saturated incidence rate, Periodic behavior in a FIV model with seasonality as well as environment fluctuations, Threshold dynamics and density function of a stochastic epidemic model with media coverage and mean-reverting Ornstein-Uhlenbeck process, Dynamics of a stochastic HIV/AIDS model with treatment under regime switching, Stationary distribution and extinction of a stochastic cattle brucellosis model, On dynamics of stochastic avian influenza model with asymptomatic carrier using spectral method, The impact of nonlinear stochastic perturbation on dynamical behavior of an HIV infection system, Modeling and analysis of SIR epidemic dynamics in immunization and cross-infection environments: Insights from a stochastic model, Nonlinear Dynamical Analysis of a Stochastic Sirs Epidemic System with Vertical Dissemination and Switch from Infectious to Susceptible Individuals, Host vector dynamics of a nonlinear pine wilt disease model in deterministic and stochastic environments, An HIV stochastic model with cell-to-cell infection, B-cell immune response and distributed delay, Forecast analysis of the epidemics trend of COVID-19 in the USA by a generalized fractional-order SEIR model, Control strategies of a stochastic social obesity epidemic model in the region of Valencia, Spain, Dynamical behavior of a stochastic SIQS model via isolation with regime-switching, Plankton growth dynamic driven by plankton body size in deterministic and stochastic environments, Optimal interventions of infectious disease, Analysis of an avian influenza model with Allee effect and stochasticity, Complete characterization of dynamical behavior of stochastic epidemic model motivated by Black-Karasinski process: COVID-19 infection as a case, Stochastic generalized Kolmogorov systems with small diffusion. I: Explicit approximations for invariant probability density function, Asymptotic behavior and extinction of a stochastic predator–prey model with Holling type II functional response and disease in the prey, Threshold dynamics and probability density function of a stochastic multi-strain coinfection model with amplification and vaccination, Stationary distribution and persistence of a stochastic mathematical model for prostate cancer with pulsed therapy, Turing pattern induced by the directed ER network and delay, Modeling and Predicting the Influence of PM2.5 on Children’s Respiratory Diseases, Stabilisation of stochastic delayed systems with Lévy noise on networks via periodically intermittent control, Dynamics in a delayed diffusive cell cycle model, Dynamic characterization of a stochastic SIR infectious disease model with dual perturbation, Long-Term Analysis of a Stochastic SIRS Model with General Incidence Rates, The stationary distribution and stochastic persistence for a class of disease models: Case study of malaria, Analysis of a stochastic susceptible-infective epidemic model in a polluted atmospheric environment, Stochastic stabilization problem of complex networks without strong connectedness, A stochastic SIRS epidemic model with non-monotone incidence rate under regime-switching, Calibration of a SEIR-SEI epidemic model to describe the zika virus outbreak in Brazil, A stochastic model for malaria transmission dynamics, FINITE-TIME SYNCHRONIZATION FOR COUPLED SYSTEMS WITH TIME DELAY AND STOCHASTIC DISTURBANCE UNDER FEEDBACK CONTROL, IMPACT OF NOISE IN A PHYTOPLANKTON-ZOOPLANKTON SYSTEM, A stochastic predator–prey model with Holling II increasing function in the predator, The long-time behavior of a stochastic SIR epidemic model with distributed delay and multidimensional Lévy jumps



Cites Work