Simulation of mosquitoes population dynamic based on rainfall and average daily temperature

This paper proposed rainfall and average daily temperature approximation functions using least square method with trigonometry polynomial. Error value from this method is better than Fast Fourier Transform method. This approximation is used to accommodate climatic factors into deterministic model of...

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Bibliographic Details
Main Authors: Widayani, H, Seprianus, Nuraini, N, Arum, J
Format: Conference Proceeding
Language:English
Subjects:
Approximation
Carrying capacity
Computer simulation
Fast Fourier transformations
Fixed points (mathematics)
Fourier transforms
Mathematical models
Mosquitoes
Parameters
Polynomials
Population
Rainfall
Trigonometry
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Summary:This paper proposed rainfall and average daily temperature approximation functions using least square method with trigonometry polynomial. Error value from this method is better than Fast Fourier Transform method. This approximation is used to accommodate climatic factors into deterministic model of mosquitoes population by constructing a carrying capacity function which contains rainfall and average daily temperature functions. We develop a mathematical model for mosquitoes population dynamic which formulated by Yang et al (2010) with dynamic parameter of a daily rainfall as well as temperature on that model. Two fixed points, trivial and non-trivial, are obtained when constant entomological parameters assumed. Basic offspring number, Q0 as mosquitoes reproduction parameter is constructed. Non-trivial fixed point is stable if and only if Q0 > 1. Numerical simulation shown the dynamics of mosquitoes population significantly affected by rainfall and average daily temperature function.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4866549