The effect of a generalized nonlinear incidence rate on the stochastic SIS epidemic model

被引：11
|
作者：
Lahrouz, Aadil [1 ]
Settati, Adel [1 ]
El Fatini, Mohamed [2 ]
Tridane, Abdessamad [3 ]
机构：
[1] Univ Abdelmalek Essaddi, Fac Sci & Tech, Dept Math, Tanger, Morocco
[2] Ibn Tofail Univ, Fac Sci, Dept Math, Kenitra, Morocco
[3] United Arab Emirates Univ, Coll Sci, Dept Math Sci, Al Ain, U Arab Emirates
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 01期
关键词：
nonlinear incidence; SIS epidemic model; stochastic differential equation; Feller's test; threshold dynamics; PERSISTENCE; EXTINCTION; BEHAVIOR;
D O I：
10.1002/mma.6765
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we aim to analyze the classical SIS epidemic model with a generalized force of infection (including nonmonotonic cases), where the transmission rate is perturbed by white noise. Using Feller's test for explosions, we prove that the disease dies out with probability one without any restriction on the model parameters.
引用
收藏
页码：1137 / 1146
页数：10
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