A model of malaria population dynamics with migrants

Simple item page
dc.contributor.authorWitbooi, Peter
dc.contributor.authorAbiodun, Gbenga
dc.contributor.authorNsuami, Mozart
dc.date.accessioned2021-09-23T10:52:40Z
dc.date.available2021-09-23T10:52:40Z
dc.date.issued2021-08
dc.description.abstractWe 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.en_US
dc.identifier.citationWitbooi, P., Abiodun, G. and Nsuami, M. (2021). A model of malaria population dynamics with migrants. Mathematical Biosciences and Engineering, 18(6), 7301–7317.en_US
dc.identifier.urihttp://dx.doi.org/10.3934/mbe.2021361
dc.identifier.urihttp://hdl.handle.net/10566/6802
dc.language.isoenen_US
dc.publisherMathematical Biosciences and Engineeringen_US
dc.subjectvector-borne diseaseen_US
dc.subjectinfected immigranten_US
dc.subjectimported infectionen_US
dc.subjecteliminationen_US
dc.subjectglobal stabilityen_US
dc.titleA model of malaria population dynamics with migrantsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
A model of malaria population dynamics with migrants.pdf
Size:
816.38 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Research Articles (Mathematics)