Analysis of stochastic viral infection model with immune impairment

DOI10.1007/s40819-017-0314-8zbMath1397.92403OpenAlexW2579898665MaRDI QIDQ1792224

R. Rajaji, M. Pitchaimani

Publication date: 11 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-017-0314-8

zbMATH Keywords

Lyapunov functionpersistencestochastic stabilityimmune impairment

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Applications of stochastic analysis (to PDEs, etc.) (60H30) Medical epidemiology (92C60)

Related Items (7)

Dynamics of Stochastic SIRS Model ⋮ Mathematical analysis on deterministic and stochastic lake ecosystem models ⋮ Stochastic viral infection model with lytic and nonlytic immune responses driven by Lévy noise ⋮ Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence ⋮ An optimal control approach for public health interventions on an epidemic-viral model in deterministic and stochastic environments ⋮ Qualitative analysis of stochastically perturbed SIRS epidemic model with two viruses ⋮ Stochastic near-optimal control for drug therapy in a random viral model with cellular immune response

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic asymptotic stability of Nowak-May model with variable diffusion rates
• Effects of deterministic and random refuge in a prey-predator model with parasite infection
• Deterministic and stochastic stability of a mathematical model of smoking
• Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle
• Dynamics analysis of a delayed viral infection model with immune impairment
• Analysis of a viral infection model with immune impairment, intracellular delay and general non-linear incidence rate
• Complex dynamic behavior in a viral model with delayed immune response
• Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment
• Environmental Brownian noise suppresses explosions in population dynamics.
• Stability of regime-switching stochastic differential equations
• Extinction and stationary distribution of a stochastic SIRS epidemic model with non-linear incidence
• Analysis of a viral infection model with delayed immune response
• Stochastic dynamics of SIRS epidemic models with random perturbation
• Analysis of a viral infection model with immune impairment and cure rate

This page was built for publication: Analysis of stochastic viral infection model with immune impairment