Stability Under Random Perturbations

1998 ◽  
pp. 361-376
Author(s):  
M. I. Freidlin ◽  
A. D. Wentzell
Keyword(s):  
Random Perturbations

scholarly journals Extinction and persistence of a stochastic SIRV epidemic model with nonlinear incidence rate

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Ramziya Rifhat ◽  
Zhidong Teng ◽  
Chunxia Wang
Keyword(s):  
Epidemic Model ◽  
Control Strategies ◽  
Random Perturbations ◽  
Disease Dynamics ◽  
Nonlinear Incidence Rate ◽  
Nonlinear Incidence ◽  
Analysis Theory ◽  
Lyapunov Function Method ◽  
Random Fluctuations ◽  
Theoretical Results

AbstractIn this paper, a stochastic SIRV epidemic model with general nonlinear incidence and vaccination is investigated. The value of our study lies in two aspects. Mathematically, with the help of Lyapunov function method and stochastic analysis theory, we obtain a stochastic threshold of the model that completely determines the extinction and persistence of the epidemic. Epidemiologically, we find that random fluctuations can suppress disease outbreak, which can provide us some useful control strategies to regulate disease dynamics. In other words, neglecting random perturbations overestimates the ability of the disease to spread. The numerical simulations are given to illustrate the main theoretical results.

scholarly journals Random perturbations of bifurcation diagrams

1994 ◽  
Vol 5 (3) ◽  
pp. 353-373 ◽  
Author(s):  
Fritz Colonius ◽  
Wolfgang Kliemann
Keyword(s):  
Random Perturbations ◽  
Bifurcation Diagrams

Cyclic Population Dynamics and Random Perturbations

10.2307/5728 ◽  
1996 ◽  
Vol 65 (2) ◽  
pp. 249 ◽  
Author(s):  
Veijo Kaitala ◽  
Esa Ranta ◽  
Jan Lindstrom
Keyword(s):  
Population Dynamics ◽  
Random Perturbations

Statistical resilience of random populations to random perturbations

2009 ◽  
Vol 79 (1) ◽  
Author(s):  
Iddo Eliazar ◽  
Joseph Klafter
Keyword(s):  
Random Perturbations
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