Dynamic threshold probe of stochastic SIR model with saturated incidence rate and saturated treatment function

被引：33

作者：

Rajasekar, S. P. ^{[1
,2
]}

Pitchaimani, M. ^{[1
]}

Zhu, Quanxin ^{[3
]}

机构：

[1] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, Tamil Nadu, India

[2] Govt Arts Coll Women, Dept Math, Nilakottai 624202, Tamil Nadu, India

[3] Hunan Normal Univ, MOE LCSM, Sch Math & Stat, Changsha 410081, Hunan, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 535卷

基金：

中国国家自然科学基金;

关键词：

SIR model; Saturated incidence rate; Saturated treatment function; pth-moment exponential stability; Persistence; Extinction; EPIDEMIC MODEL; DIFFERENTIAL-EQUATIONS; STABILITY ANALYSIS; BACKWARD BIFURCATION; BEHAVIOR; DIFFUSION;

D O I：

10.1016/j.physa.2019.122300

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this discourse, we establish and investigate the pervasive of environmental variability in a deterministic epidemic model with saturated incidence rate and saturated treatment function. We exemplify that the proposed stochastic model reveals an exclusive and universal positive solution. We deal with equilibrium solution of stochastic model which contribute few biological intrinsic manifestation for the model. We attain the sufficient conditions for extinction of the infectious disease and persistent in the mean of the stochastic epidemic model with probability one, if (R) over tilde (0) < 1 and if <(R)over tilde>(0) > 1 respectively. Eventually, numerical probing is furnished to elucidate the analytical outcomes. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：20

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