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, IN PROGRESS - شماره پیاپی 29، شهریور 2024، صفحه 449-474   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2024.82434.1269

نویسندگان

Sani Fakai Abubakar^{* 1}؛ Mohammed 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 dynamics of cholera pathogen carriers, and the hygiene consciousness of individuals, 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. The Boundedness of the solution of the model, its existence, and uniqueness were ascertained. Effects of cholera pathogen carriers and hygiene consciousness of individuals in controlling the disease or allowing its further spread were analyzed. The differential Transformation Method (DTM) 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 were carried out and displayed in graphs. The dynamics of the concerned state variables and parameters in the model were interpreted via the obtained graphs. It was 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 consciousness؛ series