Fractional model for malaria transmission under control strategies
We study a fractional model for malaria transmission under control strategies. We consider the integer order model proposed by Chiyaka etal. (2008) in [15] and modify it to become a fractional order model. We study numerically the model for variation of the values of the fractional derivative and of the parameter that models personal protection, b b . From observation of the figures we conclude that as b b is increased from 0 to 1 there is a corresponding decrease in the number of infectious humans and infectious mosquitoes, for all values of ? ? . This means that this result is invariant for variation of fractional derivative, in the values tested. These results are in agreement with those obtained in Chiyaka etal. (2008) [15] for ?=1.0 ? = 1.0 and suggest that our fractional model is epidemiologically well-posed.
malaria transmission fractional mathematical model delay differential equations