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Vol. 9 No. 2 (2020): SPECIAL ISSUE OF SCIENCE, 2020

Effect of Meteorological Elements on the Dynamics of Bacillary and Amoebic Dysentery Disease: A Mathematical Approach

https://doi.org/10.56279/jhss.v9i2.54
furaha chuma
ngeleja
Dar es Salaam Institute of Technology
DR. ngailo
Dar es Salaam Institute of Technology

Corresponding Author(s) : furaha chuma

furaha.chuma@duce.ac.tz

Journal of Humanities & Social Science (JHSS), Vol. 9 No. 2 (2020): SPECIAL ISSUE OF SCIENCE, 2020

Abstract

Bacillary dysentery, commonly known as shigellosis, is a potentially perilous and
extremely contagious bacterial infection of the colon caused by—but not limited
to—bacteria shigella, bacillus, E. coli, Yersinia, and the parasite amoeba. This paper
formulates and analyses a mathematical model for the transmission dynamics of
dysentery epidemic that incorporate the effects of weather variations. It examines
the stability of equilibria and compute the basic reproduction number that is
coupled with the time-periodic model, and establishes results on the threshold
dynamics. In the non-autonomous case, it investigates the disease extinction and
uniform persistence. Results suggest that the dynamics of bacillary dysentery is
appreciably affected by climate change, which also plays a significant role in
whittling the long-term dynamics of the epidemic.

Effect of Meteorological Elements on the Dynamics of Bacillary and Amoebic Dysentery Disease: A Mathematical Approach. (2020). Journal of Humanities & Social Science (JHSS), 9(2). https://doi.org/10.56279/jhss.v9i2.54
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Effect of Meteorological Elements on the Dynamics of Bacillary and Amoebic Dysentery Disease: A Mathematical Approach. (2020). Journal of Humanities & Social Science (JHSS), 9(2). https://doi.org/10.56279/jhss.v9i2.54
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