THE DYNAMICS OF MOSQUITOES POPULATION BASED ON RAINFALL AND TEMPERATURE
This thesis discusses how to approximate functions of rainfall and daily mean temperature by using least square method with trigonometry polynomial. Ap- proximation error resulted by this method will be compared to which resulted by Fast Fourier Transform method. The approximation is purposed to...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/34239 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | This thesis discusses how to approximate functions of rainfall and daily mean
temperature by using least square method with trigonometry polynomial. Ap-
proximation error resulted by this method will be compared to which resulted
by Fast Fourier Transform method. The approximation is purposed to accom-
modate climatic factors into deterministic model of mosquitoes population.
The mathematical model of mosquitoes population used in this thesis is one
which discussed in [11]. Analytically, with constant entomological parameters,
the model yields two xed points, trivial and non-trivial. The model also yields
a quantity named Basic Ospring Number, Q0. The necessary and sucient
condition for stability of non-trivial xed point to hold is Q0 > 1. Accommo-
dation of functions of rainfall and daily mean temperature into model is done
by constructing a carrying-capacity function of time which contains functions
of rainfall and daily mean temperature. The numerical simulation shows that
behaviors of functions of rainfall and daily mean temperature signicantly im-
pact the dynamics of mosquitoes population. |
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