A stochastic viral infection model driven by Lévy noise

DOI10.1016/j.chaos.2018.08.002zbMath1415.92111OpenAlexW2886430370MaRDI QIDQ2000369

Badr-eddine Berrhazi, Roger Pettersson, Mohamed El Fatini, Aziz Laaribi

Publication date: 28 June 2019

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.08.002

zbMATH Keywords

stochastic processwhite noiseLyapunov methodLévy process

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Medical epidemiology (92C60)

Related Items (9)

Dynamics of a stochastic cholera epidemic model with Lévy process ⋮ A stochastic SIQR epidemic model with Lévy jumps and three-time delays ⋮ Stochastic viral infection model with lytic and nonlytic immune responses driven by Lévy noise ⋮ Sufficient and necessary conditions of near-optimal controls for a diffusion dengue model with Lévy noise ⋮ Stochastic analysis of a two delayed epidemic model incorporating Lévy processes with a general non-linear transmission ⋮ An optimal control approach for public health interventions on an epidemic-viral model in deterministic and stochastic environments ⋮ Global dynamics of deterministic and stochastic epidemic systems with nonmonotone incidence rate ⋮ Near-optimal stochastic control for radiotherapy treatment in a random cancer model ⋮ Stochastic near-optimal control for drug therapy in a random viral model with cellular immune response

Cites Work

• Unnamed Item
• Necessary and sufficient condition for extinction and persistence of SIRS system with random perturbation
• Long-time behavior of a stochastic SIR model
• Stochastic SEIR model with jumps
• Stochastic model for spread of AIDS driven by Lévy noise
• Dynamics analysis of a delayed viral infection model with immune impairment
• Stochastic SIRS model driven by Lévy noise
• Mathematical epidemiology.
• Higher-order implicit strong numerical schemes for stochastic differential equations
• Mathematical biology. Vol. 1: An introduction.
• Dynamics of a stochastic SIS model with double epidemic diseases driven by Lévy jumps
• Threshold behaviour of a stochastic SIR model
• The extinction and persistence of the stochastic SIS epidemic model with vaccination
• A stochastic SIRS epidemic model incorporating media coverage and driven by Lévy noise
• Stochastic stability and instability of an epidemic model with relapse
• A stochastic threshold for an epidemic model with Beddington-DeAngelis incidence, delayed loss of immunity and Lévy noise perturbation
• Stochastic SIR model with jumps
• Modeling with Itô Stochastic Differential Equations

This page was built for publication: A stochastic viral infection model driven by Lévy noise