AI Networking Cookbook: Practical recipes for AI-assisted network automation and development
TL;DR
A new stochastic SIRS model for disease transmission under environmental uncertainty is developed, combining a general nonlinear incidence and capacity-limited treatment with both Gaussian white noise and telegraph noise represented by a finite-state Markov regime switch to establish global existence, positivity, and non-explosion of solutions.
The derivation of the rigorous sufficient conditions that characterize both the extinction and the long-term persistence of disease dynamics are derived, including a threshold parameter Λ, expressed in terms of the switching exponents ρξ(t) and ζξ(t), from a nonlinear stochastic SIRS epidemic model evolving in a random...
We incorporate stochastic fluctuations into an epidemic-behavior coevolution model and study its threshold dynamics and stationary distributions. By introducing the stochastic basic reproduction number R0σ, the behavioral threshold d, and two potential infection proportions RPσ,1 and RPσ,2, we establish conditions for...
In this paper, we consider a time-periodic nonlocal dispersal susceptible-infected-susceptible (SIS) epidemic model with saturated incidence and Neumann boundary conditions in a spatiotemporally heterogeneous environment. First, we define the basic reproduction number for the model, which depends on dispersal rates, to...
This paper develops a stochastic susceptible–infected–hesitating–removed (SIHR) rumor model with Hill-type saturated incidence and compartment-specific Brownian perturbations. The model focuses on when environmental noise changes a rumor’s deterministic fate and how long-run behavior is organized as an invariant law ra...
This paper establishes a state-feedback control system based on a nonlinear incidence SIRS model to explore the regulatory mechanism of infectious disease control. We develop a state-dependent impulsive model with threshold-triggered vaccination and isolation interventions once the susceptible population exceeds a pred...
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