Analysis of a deterministic and a stochastic epidemic model with two distinct epidemics hypothesis

DOI10.1016/j.physa.2019.122321OpenAlexW2966912878MaRDI QIDQ2163737

Mohamed El Fatini, Aziz Laaribi, Brahim Boukanjime, Regragui Taki

Publication date: 10 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.122321

zbMATH Keywords

Lyapunov functionextinctionpersistence in meandouble epidemic hypothesis

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (6)

Dynamics of a stochastic coronavirus (COVID-19) epidemic model with Markovian switching ⋮ A stochastic mathematical model of two different infectious epidemic under vertical transmission ⋮ Dynamics of a deterministic and a stochastic epidemic model combined with two distinct transmission mechanisms and saturated incidence rate ⋮ Global stability of an SAIRS epidemic model with vaccinations, transient immunity and treatment ⋮ Stationary distribution and probability density function of a stochastic waterborne pathogen model with saturated direct and indirect transmissions ⋮ A generalized stochastic SIRS epidemic model incorporating mean-reverting Ornstein-Uhlenbeck process

Cites Work

• Unnamed Item
• Necessary and sufficient condition for extinction and persistence of SIRS system with random perturbation
• Dynamics of hybrid switching diffusions SIRS model
• Complete global stability for an SIRS epidemic model with generalized non-linear incidence and vaccination
• Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
• Modeling the adaptive immune response in HBV infection
• Stability of a novel stochastic epidemic model with double epidemic hypothesis
• Dynamics of a stochastic SIS model with double epidemic diseases driven by Lévy jumps
• Analysis of a novel stochastic SIRS epidemic model with two different saturated incidence rates
• Dynamical analysis of a stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis
• Threshold behaviour of a stochastic SIR model
• Dynamics of a nonautonomous stochastic SIS epidemic model with double epidemic hypothesis
• Stochastic stability and instability of an epidemic model with relapse
• Global stability of an SEI epidemic model with general contact rate
• Mathematical analysis of a virus dynamics model with general incidence rate and cure rate
• A stochastic SIRS epidemic model with a general awareness-induced incidence
• The threshold of a stochastic SIRS epidemic model with saturated incidence
• Dynamics of a novel nonlinear SIR model with double epidemic hypothesis and impulsive effects
• The impact of media on the control of infectious diseases
• Global stability for an special SEIR epidemic model with nonlinear incidence rates
• A Stochastic Differential Equation SIS Epidemic Model
• A strong law of large numbers for local martingales

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