STUDY OF A CARRIER DEPENDENT INFECTIOUS DISEASE — CHOLERA-Reference-Cited by-同舟云学术

STUDY OF A CARRIER DEPENDENT INFECTIOUS DISEASE — CHOLERA

Published:2005-09 Issue:03 Volume:13 Page:233-244
ISSN:0218-3390
Container-title:Journal of Biological Systems
language:en
Short-container-title:J. Biol. Syst.

Author:

DAS PRASENJIT¹,MUKHERJEE DEBASIS²,SARKAR A. K.¹

Affiliation:

1. Department of Mathematics, Jadavpur University, Kolkata-700 032, India

2. Department of Mathematics, Vivekananda College, Thakurpukur, Kolkata-700 063, India

Abstract

This paper analyzes an epidemic model for carrier dependent infectious disease — cholera. Existence criteria of carrier-free equilibrium point and endemic equilibrium point (unique or multiple) are discussed. Some threshold conditions are derived for which disease-free, carrier-free as well as endemic equilibrium become locally stable. Further global stability criteria of the carrier-free equilibrium and endemic equilibrium are achieved. Conditions for survival of all populations are also determined. Lastly numerical simulations are performed to validate the results obtained.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology,Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218339005001495

Reference17 articles.

1. Why treatment centres failed to prevent cholera deaths among Rwandan refugees in Goma, Zaire

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