MODELING AND ANALYSIS OF AN SEIR MODEL WITH DIFFERENT TYPES OF NONLINEAR TREATMENT RATES

被引：78

作者：

Dubey, B. ^{[1
]}

Patra, Atasi ^{[1
]}

Srivastava, P. K. ^{[3
]}

Dubey, Uma S. ^{[2
]}

机构：

[1] Birla Inst Technol & Sci, Dept Math, Pilani 333031, Rajasthan, India

[2] Birla Inst Technol & Sci, Dept Biol Sci, Pilani 333031, Rajasthan, India

[3] Indian Inst Technol, Dept Math, Patna 800013, Bihar, India

来源：

JOURNAL OF BIOLOGICAL SYSTEMS | 2013年 / 21卷 / 03期

关键词：

SEIR Model; Holling's Type III and IV Treatment Rates; Stability Analysis; DEPENDENT INFECTIOUS-DISEASES; PULSE VACCINATION STRATEGY; SIR EPIDEMIC MODEL; STABILITY ANALYSIS; GLOBAL STABILITY; BIFURCATION; DYNAMICS; SPREAD; POPULATION;

D O I：

10.1142/S021833901350023X

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this study, an SEIR epidemic model is proposed for treatment of infectives considering the development of acquired immunity in recovered individuals. We employed two different types of treatment functions. Stability analysis for disease-free as well as endemic equilibria is performed. It is observed that the existence of unique endemic equilibrium depends on the basic reproductive number R-0 as well as on treatment rate. Numerical simulations are performed on the proposed models to support and analyze theoretical findings.

引用

页数：25

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