A model of malaria population dynamics with migrants

We present a compartmental model in ordinary differential equations of malaria disease transmission, accommodating the effect of indoor residual spraying on the vector population. The model allows for influx of infected migrants into the host population and for outflow of recovered migrants. The sys...

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Autores principales:	Peter Witbooi, Gbenga Abiodun, Mozart Nsuami
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	vector-borne disease infected immigrant imported infection elimination global stability Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/5ea96b4aebca4c41abb71a7be6ea8d15
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spelling	oai:doaj.org-article:5ea96b4aebca4c41abb71a7be6ea8d152021-11-23T01:52:29ZA model of malaria population dynamics with migrants10.3934/mbe.20213611551-0018https://doaj.org/article/5ea96b4aebca4c41abb71a7be6ea8d152021-08-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021361?viewType=HTMLhttps://doaj.org/toc/1551-0018We present a compartmental model in ordinary differential equations of malaria disease transmission, accommodating the effect of indoor residual spraying on the vector population. The model allows for influx of infected migrants into the host population and for outflow of recovered migrants. The system is shown to have positive solutions. In the special case of no infected immigrants, we prove global stability of the disease-free equilibrium. Existence of a unique endemic equilibrium point is also established for the case of positive influx of infected migrants. As a case study we consider the combined South African malaria region. Using data covering 31 years, we quantify the effect of malaria infected immigrants on the South African malaria region.Peter Witbooi Gbenga Abiodun Mozart NsuamiAIMS Pressarticlevector-borne diseaseinfected immigrantimported infectioneliminationglobal stabilityBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 7301-7317 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	vector-borne disease infected immigrant imported infection elimination global stability Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	vector-borne disease infected immigrant imported infection elimination global stability Biotechnology TP248.13-248.65 Mathematics QA1-939 Peter Witbooi Gbenga Abiodun Mozart Nsuami A model of malaria population dynamics with migrants
description	We present a compartmental model in ordinary differential equations of malaria disease transmission, accommodating the effect of indoor residual spraying on the vector population. The model allows for influx of infected migrants into the host population and for outflow of recovered migrants. The system is shown to have positive solutions. In the special case of no infected immigrants, we prove global stability of the disease-free equilibrium. Existence of a unique endemic equilibrium point is also established for the case of positive influx of infected migrants. As a case study we consider the combined South African malaria region. Using data covering 31 years, we quantify the effect of malaria infected immigrants on the South African malaria region.
format	article
author	Peter Witbooi Gbenga Abiodun Mozart Nsuami
author_facet	Peter Witbooi Gbenga Abiodun Mozart Nsuami
author_sort	Peter Witbooi
title	A model of malaria population dynamics with migrants
title_short	A model of malaria population dynamics with migrants
title_full	A model of malaria population dynamics with migrants
title_fullStr	A model of malaria population dynamics with migrants
title_full_unstemmed	A model of malaria population dynamics with migrants
title_sort	model of malaria population dynamics with migrants
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/5ea96b4aebca4c41abb71a7be6ea8d15
work_keys_str_mv	AT peterwitbooi amodelofmalariapopulationdynamicswithmigrants AT gbengaabiodun amodelofmalariapopulationdynamicswithmigrants AT mozartnsuami amodelofmalariapopulationdynamicswithmigrants AT peterwitbooi modelofmalariapopulationdynamicswithmigrants AT gbengaabiodun modelofmalariapopulationdynamicswithmigrants AT mozartnsuami modelofmalariapopulationdynamicswithmigrants
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A model of malaria population dynamics with migrants

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