Dataset Information

Ducrot2009 - Malaria transmission in two host types

ABSTRACT: The main purpose of this article is to formulate a deterministic mathematical model for the transmission of malaria that considers two host types in the human population. The first type is called "non-immune" comprising all humans who have never acquired immunity against malaria and the second type is called "semi-immune". Non-immune are divided into susceptible, exposed and infectious and semi-immune are divided into susceptible, exposed, infectious and immune. We obtain an explicit formula for the reproductive number, R(0) which is a function of the weight of the transmission semi-immune-mosquito-semi-immune, R(0a), and the weight of the transmission non-immune-mosquito-non-immune, R(0e). Then, we study the existence of endemic equilibria by using bifurcation analysis. We give a simple criterion when R(0) crosses one for forward and backward bifurcation. We explore the possibility of a control for malaria through a specific sub-group such as non-immune or semi-immune or mosquitoes

SUBMITTER: Sarubini Kananathan

PROVIDER: MODEL1808280013 | BioModels | 2020-07-09

REPOSITORIES: BioModels

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			Action	DRS
	MODEL1808280013?filename=Final%20Version.cps	Other
	MODEL1808280013?filename=Final%20Version.xml	Xml

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Publications

A mathematical model for malaria involving differential susceptibility, exposedness and infectivity of human host.

Ducrot A A Sirima S B SB Somé B B Zongo P P

Journal of biological dynamics 20091101 6

The main purpose of this article is to formulate a deterministic mathematical model for the transmission of malaria that considers two host types in the human population. The first type is called "non-immune" comprising all humans who have never acquired immunity against malaria and the second type is called "semi-immune". Non-immune are divided into susceptible, exposed and infectious and semi-immune are divided into susceptible, exposed, infectious and immune. We obtain an explicit formula for ...[more]

PMID: 22880962

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