The impact of nonlinear relapse and reinfection to derive a stochastic threshold for SIRI epidemic model

被引：15
|
作者：
Settati, A. [1 ]
Lahrouz, A. [1 ]
Assadouq, A. [1 ]
El Fatini, M. [2 ]
El Jarroudi, M. [1 ]
Wang, K. [3 ]
机构：
[1] FST, Dept Math, LMA, BP 416 Tanger Principale, Tanger, Morocco
[2] Ibn Tofail Univ, FS, Dept Math, BP 133, Kenitra, Morocco
[3] Anhui Univ Finance & Econ, Dept Appl Math, Bengbu 233030, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 137卷
关键词：
STATIONARY DISTRIBUTION; EXTINCTION; STABILITY;
D O I：
10.1016/j.chaos.2020.109897
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present work, we introduce a stochastic SIRI epidemic model with nonlinear relapse. We give sufficient conditions for extinction and persistence of the disease. We also study the existence of a stationary distribution and the ergodicity of the solutions. As a special case of our results that under some conditions on noise intensities, we obtain the threshold Rβ for the disease. Finally, we provide some computer simulations to illustrate our theoretical findings. © 2020 Elsevier Ltd
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页数：8
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