- 期刊
- OpenAccess
GLOBAL ANALYSIS OF STOCHASTIC SIR MODEL WITH VARIABLE DIFFUSION RATES
摘要
In this article, a stochastic SIR epidemic model with treatment rate in a population of varying size is proposed and investigated. For the stochastic version, we briefly discuss the existence of global unique solutions and using the Lyapunov function, the disease free equilibrium solution is globally asymptotic stabe if R_0 ≤ 1 and the endemic equilibrium solution is obtained when R_0 ＞ 1. The main attention is paid to the pth-moment exponentially stable on the system, proved under suitable assumptions on the white noise perturbations and the optimal control for the deterministic model. Finally numerical simulations are done to show our theoretical results and to demonstrate the complicated dynamics of the model.
關鍵字
無資料延伸閱讀
- 施又豪（2011）。Estimation of stochastic volatility model with truncated data〔碩士論文，國立清華大學〕。華藝線上圖書館。https://doi.org/10.6843/NTHU.2011.00676
- Liu, S., Wei, N., Zhou, Y., & Ge, X. (2019). Two-scale stochastic volatility model by FEM methods. IETI Transactions on Social Sciences and Humanities, 4(), 158-165. https://doi.org/10.6896/IETITSSH.201909_4.0014
- Rao, F. (2014). Dynamics Analysis of a Stochastic SIR Epidemic Model. Abstract and Applied Analysis, 2014(), 653-661-477. https://doi.org/10.1155/2014/356013
- HRITONENKO, N., RODKINA, A., & YATSENKO, Y. (2006). STABILITY ANALYSIS OF STOCHASTIC RICKER POPULATION MODEL. Discrete Dynamics in Nature and Society, 2006(), 465-477. https://doi.org/10.1155/DDNS/2006/64590
- Hagyan, M. A., Misiran, M., & Omar, Z. (2015). Content Analysis of Stochastic Volatility Model in Discrete and Continuous Time Setting. Research Journal of Applied Sciences, Engineering and Technology, 10(10), 1185-1191. https://www.airitilibrary.com/Article/Detail?DocID=20407467-201508-201509110019-201509110019-1185-1191