A stochastic Sir epidemic evolution model with non-concave force of infection: Mathematical modeling and analysis
DOI10.1142/S0219493722500162zbMath1496.92117OpenAlexW4210489445MaRDI QIDQ5038974
Adel Settati, Aadil Lahrouz, H. Mahjour, M. Jarroudi, M. Merzguioui, M. El Fatini, Abdessamad Tridane
Publication date: 9 October 2022
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219493722500162
Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Cites Work
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- Necessary and sufficient condition for extinction and persistence of SIRS system with random perturbation
- Global threshold dynamics of a stochastic differential equation SIS model
- Long-time behaviour of a perturbed SIR model by white noise
- The SIS epidemic model with Markovian switching
- Threshold behavior in a stochastic SIS epidemic model with standard incidence
- Effects of stochastic perturbation on the SIS epidemic system
- Extinction and quasi-stationarity in the stochastic logistic SIS model.
- Seasonality and mixed vaccination strategy in an epidemic model with vertical transmission
- Delay versus age-of-infection -- global stability
- SDE SIS epidemic model with demographic stochasticity and varying population size
- A stochastic model of AIDS and condom use
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Population size dependent incidence in models for diseases without immunity
- Global stability of an SIR epidemic model with time delays
- Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
- Environmental Brownian noise suppresses explosions in population dynamics.
- An SIS disease transmission model with recruitment-birth-death demographics
- Remarks on stochastic permanence of population models
- Influence of stochastic perturbation on prey-predator systems
- Global properties of infectious disease models with nonlinear incidence
- Long-time behaviour of a stochastic prey--predator model.
- Classification of Asymptotic Behavior in a Stochastic SIR Model
- A Stochastic Differential Equation SIS Epidemic Model
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