Deterministic Models in Dengue Transmission Dynamics
Adeterministic model for monitoring the impact of treatment on the transmission dynamics of dengue in the human and vector populations is presented. In addition to having a locally-asymptotically stable disease-free equilibrium (OFE) whenever the basic reproduction number is less than unity, it...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Institute for Mathematical Research
2008
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| Online Access: | http://psasir.upm.edu.my/id/eprint/12463/1/Artikel_5_vol2_no1.pdf |
| Summary: | Adeterministic model for monitoring the impact of
treatment on the transmission dynamics of dengue
in the human and vector populations is presented.
In addition to having a locally-asymptotically
stable disease-free equilibrium (OFE) whenever
the basic reproduction number is less than unity, it
is shown, llsing a Lyapunov function and LaSalle
Invariance Principle that the DFE of both
treatment~frcc and treatment model, in the absence
of dengue-induced 1ll00tality, IS globallyasymptotically
stable whenever the reproduction
number is less than unity. Each oftbe models has a
unique endemic equilibrium whenever its
reproduction number excceds unity. Numerical
simulations of thc model show that for high
treatment rates, the disease can be controled within
a community. |
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