FUZZY CONTROL TECHNIQUE APPLIED TO MODIFIED MATHEMATICAL MODEL FOR MALARIA CONTROL
DOI:
https://doi.org/10.4314/njt.344.1014Keywords:
fuzzy control, malaria, drug effectiveness, mosquitoes, equilibrium state, dynamic equationAbstract
In this paper, fuzzy control technique is applied to the modified mathematical model for malaria control presented by the authors in an earlier study. Five Mamdani fuzzy controllers are constructed to control the input (some epidemiological parameters) to the malaria model simulated by 9 fully nonlinear ordinary differential equations (ODE) simulator of the Modified Ngwa and Shu’s Model. Each of the controllers uses two different and unique variable parameters to calculate commanded control inputs to the simulator. The input domains are divided into 3 membership functions resulting in 7 fuzzy rules for each rule base and the output domains are partitioned with 5 membership functions. The Mamdani controllers use a standard max-min inference process and a fast centre of area method to calculate the crisp control signals. Numerical results obtained using Matlab 2008a software guarantee that malaria infection can be reduced to a tolerable limit.
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