[PDF][PDF] TRANSMISSION DYNAMICS OF CHOLERA EPIDEMIC MODEL WITH LATENT AND HYGIENE COMPLIANT CLASS.

OM Ogunmiloro, TO Ogunlade - Electronic Journal of …, 2019 - ejmaa.journals.ekb.eg
Electronic Journal of Mathematical Analysis & Applications, 2019ejmaa.journals.ekb.eg
Cholera is a dreadful disease caused by the intake of food or water infested with bacterium
vibrio cholerae. This disease remains burdensome for public health practitioners globally to
overcome unless drastic measures are taken to stop the disease spread. In this paper, a non-
linear, autonomous, system of differential equations incorporating important features of
cholera dynamics such as, hygiene, treatment, sanitation, etc is presented. The model has a
unique positive solution, it exists and its behavior relies on the initial data. Also, it is realistic …
Abstract
Cholera is a dreadful disease caused by the intake of food or water infested with bacterium vibrio cholerae. This disease remains burdensome for public health practitioners globally to overcome unless drastic measures are taken to stop the disease spread. In this paper, a non-linear, autonomous, system of differential equations incorporating important features of cholera dynamics such as, hygiene, treatment, sanitation, etc is presented. The model has a unique positive solution, it exists and its behavior relies on the initial data. Also, it is realistic in an epidemic sense. A basic threshold known as the reproduction number is obtained and analyzed. the local and global analysis is investigated at the cholera free and endemic points obtained when the model system is time-independent. However if R0> 1 cholera invades the population and if R0≤ 1 cholera as a disease vanishes out of the host population. Numerical simulation is performed on the cholera model system to validate the theoretical results.
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