Journal
JOURNAL OF MATHEMATICAL BIOLOGY
Volume 69, Issue 3, Pages 659-685Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00285-013-0716-0
Keywords
Drug resistance; Malaria; Differential equation models; Global positive solution; Parameter estimation; Numerical simulations
Categories
Funding
- Vietnamese Government
- DFG [Graduiertenkolleg 710]
- DFG (Heidelberg Graduate School MathComp)
- BIOMS (Center for Modeling and Simulation in the Biosciences in Heidelberg)
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In this paper we build a population dynamics of malaria including drug treatment. By taking into account both sensitive and resistant parasites, we want to see the effect of treatments on resistance phenomenon and prevent it from overspreading. Our main results include a new dynamics model, its mathematical properties which are found through analysis, the determination of unknown parameters with help of a data set for malaria from Burkina Faso and the numerical simulations of the fitted model. Based on these results, treatment strategies to reduce drug resistance can be elaborated.
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