The threshold and density function analysis of a stochastic SIVS model with saturation incidence

被引：0
作者：
Zhou, Lidong [1 ]
Han, Qixing [1 ]
机构：
[1] Changchun Normal Univ, Sch Math, Changchun 130032, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2024年
关键词：
Saturation incidence rate; ergodic property; extinction; density function; EPIDEMIC MODEL; STATIONARY DISTRIBUTION; PERIODIC-SOLUTION; BEHAVIOR;
D O I：
10.1142/S1793524524500694
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Mathematical model is the main tool to study the dynamics of infectious diseases, which has played an important role in controlling the spread of infectious diseases. We consider a stochastic SIVS model with saturation incidence in this paper. First of all, we establish the threshold R0e for extinction and persistence for the stochastic epidemic model. Additionally, we give the specific expression of the probability density function of the stochastic model near the unique endemic quasi-equilibrium by solving the Fokker-Planck equation. In the end, the supporting theoretical results are verified by numerical simulation.
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页数：21
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