Dynamics of a Multigroup SIR Epidemic Model with Nonlinear Incidence and Stochastic Perturbation
We introduce stochasticity into a multigroup SIR model with nonlinear incidence. We prove that when the intensity of white noise is small, the solution of stochastic system converges weakly to a singular measure (i.e., a distribution) if ℛ0≤1 and there exists an invariant distribution which is ergod...
Saved in:
| Main Authors: | Yuguo Lin, Daqing Jiang |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/917389 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Global Stability of Multigroup SIRS Epidemic Model with Varying Population Sizes and Stochastic Perturbation around Equilibrium
by: Xiaoming Fan
Published: (2014-01-01) -
Stochastic dynamics of SIRS epidemic models withrandom perturbation
by: Qingshan Yang, et al.
Published: (2014-02-01) -
The Dynamics of a Stochastic SIR Epidemic Model with Nonlinear Incidence and Vertical Transmission
by: Guihua Li, et al.
Published: (2021-01-01) -
Asymptotic Behavior of Multigroup SEIR Model with Nonlinear Incidence Rates under Stochastic Perturbations
by: Feng Wang, et al.
Published: (2020-01-01) -
Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures
by: Toshikazu Kuniya, et al.
Published: (2014-08-01)