Higher order stochastically perturbed SIRS epidemic model with relapse and media impact

DOI10.1002/mma.7817zbMath1528.92041OpenAlexW3202860576MaRDI QIDQ6188912

S. P. Rajasekar, Quanxin Zhu, M. Pitchaimani

Publication date: 12 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7817

zbMATH Keywords

extinctionnonlinear perturbationrelapsemedia impactstochastic SIRS modelergodic stationary distribution

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of stochastic analysis (to PDEs, etc.) (60H30)

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Cites Work

• Unnamed Item
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• Stochastic asymptotic stability of Nowak-May model with variable diffusion rates
• Extinction and stationary distribution of an impulsive stochastic chemostat model with nonlinear perturbation
• Practical exponential stability of stochastic age-dependent capital system with Lévy noise
• An SIS infection model incorporating media coverage
• A stochastic SIS epidemic model incorporating media coverage in a two patch setting
• A stochastic SIRS epidemic model incorporating media coverage and driven by Lévy noise
• Dynamics of a stochastic SIR epidemic model with saturated incidence
• Critical role of nosocomial transmission in the Toronto SARS outbreak
• Input-to-state stability for hybrid delayed systems with admissible edge-dependent switching signals
• Dynamics of an avian influenza model with half-saturated incidence
• Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function
• Periodic solution and stationary distribution of stochastic SIR epidemic models with higher order perturbation
• Stochastic analysis of a novel nonautonomous periodic SIRI epidemic system with random disturbances
• Stochastic persistence and stationary distribution in an SIS epidemic model with media coverage
• Stationary distribution and extinction of SIR model with nonlinear incident rate under Markovian switching
• Behavior of a stochastic SIR epidemic model with saturated incidence and vaccination rules
• Periodic solution and ergodic stationary distribution of two stochastic SIQS epidemic systems
• The threshold of a periodic stochastic SIVS epidemic model with nonlinear incidence
• Ergodic stationary distribution of a stochastic SIRS epidemic model incorporating media coverage and saturated incidence rate
• Dynamic threshold probe of stochastic SIR model with saturated incidence rate and saturated treatment function
• Progressive dynamics of a stochastic epidemic model with logistic growth and saturated treatment
• Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence
• Simulating the SARS outbreak in Beijing with limited data
• Synchronization analysis for stochastic T-S fuzzy complex networks with Markovian jumping parameters and mixed time-varying delays via impulsive control
• Qualitative analysis of stochastically perturbed SIRS epidemic model with two viruses
• Finite-time sampled-data control of switched stochastic model with non-deterministic actuator faults and saturation nonlinearity
• Stochastically globally exponential stability of stochastic impulsive differential systems with discrete and infinite distributed delays based on vector Lyapunov function
• Global analysis of a stochastic TB model with vaccination and treatment
• A SIRS epidemic model incorporating media coverage with random perturbation
• Periodic solution and ergodic stationary distribution of stochastic SIRI epidemic systems with nonlinear perturbations
• Stationary distribution and extinction of a stochastic SIR model with nonlinear perturbation
• Stationary distribution and extinction of a stochastic predator-prey model with additional food and nonlinear perturbation
• Media/psychological impact on multiple outbreaks of emerging infectious diseases
• Necessary and sufficient condition for comparison theorem of 1-dimensional stochastic differential equations
• Global dynamics for an age-structured epidemic model with media impact and incomplete vaccination
• Expected power bound and stability of two-dimensional digital filters with multiplicative noise in the FMLSS model
• THE IMPACT OF MEDIA COVERAGE ON THE DYNAMICS OF INFECTIOUS DISEASE
• A strong law of large numbers for local martingales
• Stationary distribution and extinction of a stochastic SIRI epidemic model with relapse
• Global dynamics of deterministic and stochastic epidemic systems with nonmonotone incidence rate
• Global dynamics of an epidemic model with relapse and nonlinear incidence
• Dynamic behavior of a stochastic SIRS epidemic model with media coverage
• Lévy noise perturbation for an epidemic model with impact of media coverage
• Global analysis of stochastic SIR model with variable diffusion rates
• Media effects on the dynamics of a stochastic SIRI epidemic model with relapse and Lévy noise perturbation
• Stability analysis for switched stochastic delayed systems under asynchronous switching: A relaxed switching signal
• Stabilization by delay feedback control for highly nonlinear switched stochastic systems with time delays

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