Threshold behaviors and density function of a stochastic parasite-host epidemic model with Ornstein-Uhlenbeck process

DOI10.1016/J.AML.2024.109079zbMATH Open1537.92151MaRDI QIDQ6549134

Xinhong Zhang, Xiaoshan Zhang

Publication date: 3 June 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Ornstein-Uhlenbeck processextinctionstationary distributiondensity functionparasite-host model

Mathematics Subject Classification ID

Epidemiology (92D30) Stationary stochastic processes (60G10) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Cites Work

• Environmental variability and mean-reverting processes
• A simple epidemic model with surprising dynamics
• Deterministic extinction effect of parasites on host populations
• Dynamics and density function analysis of a stochastic SVI epidemic model with half saturated incidence rate
• A stochastic differential equation SIS epidemic model incorporating Ornstein-Uhlenbeck process
• A predator-prey model with different response functions to juvenile and adult prey in deterministic and stochastic environments
• Permanence and extinction in a stochastic service-resource mutualism model
• Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes

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