Modeling the effect of time delay in controlling the carrier dependent infectious disease - Cholera

被引：23

作者：

Misra, A. K. ^{[1
]}

Mishra, S. N. ^{[2
]}

Pathak, A. L. ^{[2
]}

Misra, Peeyush ^{[3
]}

Naresh, Ram ^{[4
]}

机构：

[1] Banaras Hindu Univ, Dept Math, Fac Sci, Varanasi 221005, Uttar Pradesh, India

[2] Brahmanand Coll, Dept Math, Kanpur 208004, Uttar Pradesh, India

[3] DAV Post Grad Coll, Dept Stat, Dehra Dun 248001, India

[4] Harcourt Butler Technol Inst, Dept Math, Kanpur 208002, Uttar Pradesh, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 23期

关键词：

Cholera; Carriers; Control; Delay; Hopf-bifurcation; HOUSEFLIES MUSCA-DOMESTICA; SPREAD; FLIES; SHIGELLOSIS;

D O I：

10.1016/j.amc.2012.04.085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A delay mathematical model for the control of cholera epidemic is proposed and analyzed. It is assumed that the disease spreads through carriers, which makes the human food contaminated by transporting bacteria from the environment. It is also assumed that insecticides are used to control the carriers with the rate proportional to the density of carriers. The analysis of model shows that the disease may be controlled by spraying insecticides but a longer delay in spraying insecticides may destabilize the system. Simulation is also carried out to support the analytical results. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：11547 / 11557

页数：11

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