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
收藏
页码：11547 / 11557
页数：11
相关论文
共 50 条
  • [1] Study of a carrier dependent infectious disease - Cholera
    Das, P
    Mukherjee, D
    Sarkar, AK
    JOURNAL OF BIOLOGICAL SYSTEMS, 2005, 13 (03) : 233 - 244
  • [2] Modeling the effect of time delay in the increment of number of hospital beds to control an infectious disease
    Misra, A. K.
    Maurya, Jyoti
    Sajid, Mohammad
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2022, 19 (11) : 11628 - 11656
  • [3] Modeling the effect of global warming on the spread of carrier dependent infectious diseases
    Singh S.
    Modeling Earth Systems and Environment, 2017, 3 (1)
  • [4] A mathematical model for the control of carrier-dependent infectious diseases with direct transmission and time delay
    Misra, A. K.
    Mishra, S. N.
    Pathak, A. L.
    Srivastava, P. K.
    Chandra, Peeyush
    CHAOS SOLITONS & FRACTALS, 2013, 57 : 41 - 53
  • [5] Modeling and Analysis of the Spread of an Infectious Disease Cholera with Environmental Fluctuations
    Agarwal, Manju
    Verma, Vinay
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2012, 7 (01): : 406 - 425
  • [6] Modeling biological control of carrier-dependent infectious diseases
    Misra, Arvind Kumar
    Gupta, Alok
    Venturino, Ezio
    COMPUTATIONAL AND MATHEMATICAL METHODS, 2021, 3 (06)
  • [7] Modeling the effect of multiple interventions to balance healthcare demand for controlling infectious disease outbreaks
    Yadav, Sudha
    Bhadauria, Archana Singh
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2025,
  • [8] Modeling and analysis of the spread of carrier dependent infectious diseases with environmental effects
    Singh, S
    Chandra, P
    Shukla, JB
    JOURNAL OF BIOLOGICAL SYSTEMS, 2003, 11 (03) : 325 - 335
  • [9] Modeling the Effect of Sanitation Efforts On the Spread of Carrier-dependent Infectious Diseases Due to Environmental Degradation
    Naresh, Ram
    Verma, Sandhya Rani
    Shukla, J. B.
    Agarwal, Manju
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2023, 18 (02):
  • [10] Stability of Integral Delay Equations and Their Application in Infectious Disease Modeling
    Ortiz, Reynaldo
    Mondie, Sabine
    2022 10TH INTERNATIONAL CONFERENCE ON SYSTEMS AND CONTROL (ICSC), 2022, : 459 - 464
12345