Dynamics of a stochastic susceptible-infective-recovered (SIRS) epidemic model with vaccination and nonlinear incidence under regime switching and Lévy jumps
Autor: | Junna Hu, Ting Zeng, Buyu Wen, Zhidong Teng |
---|---|
Rok vydání: | 2020 |
Předmět: |
Stationary distribution
Applied Mathematics 010102 general mathematics Dynamics (mechanics) Computational Mechanics General Physics and Astronomy Statistical and Nonlinear Physics Regime switching Nonlinear incidence 01 natural sciences 010305 fluids & plasmas Vaccination Mechanics of Materials Modeling and Simulation 0103 physical sciences Quantitative Biology::Populations and Evolution Statistical physics 0101 mathematics Epidemic model Engineering (miscellaneous) Mathematics |
Zdroj: | International Journal of Nonlinear Sciences and Numerical Simulation. 22:391-407 |
ISSN: | 2191-0294 1565-1339 |
DOI: | 10.1515/ijnsns-2018-0324 |
Popis: | In this paper, a stochastic susceptible-infective-recovered (SIRS) epidemic model with vaccination, nonlinear incidence and white noises under regime switching and Lévy jumps is investigated. A new threshold value is determined. Some basic assumptions with regard to nonlinear incidence, white noises, Markov switching and Lévy jumps are introduced. The threshold conditions to guarantee the extinction and permanence in the mean of the disease with probability one and the existence of unique ergodic stationary distribution for the model are established. Some new techniques to deal with the Markov switching, Lévy jumps, nonlinear incidence and vaccination for the stochastic epidemic models are proposed. Lastly, the numerical simulations not only illustrate the main results given in this paper, but also suggest some interesting open problems. |
Databáze: | OpenAIRE |
Externí odkaz: |
načítá se...