Dynamics of Cholera Pathogen Carriers and Effect of Hygiene Consciousness in Cholera Outbreaks

Iranian Journal of Numerical Analysis and Optimization

مقاله 6، دوره 14، Issue 2 - شماره پیاپی 29، شهریور 2024، صفحه 449-474   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2024.82434.1269

نویسندگان

S.F. Abubakar^{* 1}؛ M.O. Ibrahim²

¹Department of Mathematics, Faculty of Physical Sciences, Kebbi State University of Science and Technology, Aliero, Nigeria.

²Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Ilorin, Nigeria,

چکیده

We derive a deterministic mathematical model that scrutinizes the dy-namics of cholera pathogen carriers and the hygiene consciousness of in-dividuals, before the illness, during its prevalence, and after the disease’s outbreaks. The dynamics can effectively help in curtailing the disease, but its effects had less coverage in the literature. Boundedness of the solu-tion of the model, its existence, and uniqueness are ascertained. Effects of cholera pathogen carriers and hygiene consciousness of individuals in controlling the disease or allowing its further spread are analyzed. The differential transformation method is used to obtain series solutions of the differential equations that make the system of the model. Simulations of the series solutions of the model are carried out and displayed in graphs. The dynamics of the concerned state variables and parameters in the model are interpreted via the obtained graphs. It is observed that higher hygiene consciousness of individuals can drastically reduce catching cholera disease at onset and further spread of its infections in the population, this in turn, shortens the period of cholera epidemic.

کلیدواژه‌ها

Differential transform؛ carriers؛ simulation؛ hygiene conscious-ness؛ series

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