A mathematical analysis of the effects of control strategies on the transmission dynamics of malaria

Fractional model for malaria transmission under control strategies

“…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 et al (2008) [15] for α = 1.0 and suggest that our fractional model is epidemiologically wellposed. …”

“…Nowadays, though, malaria control depends mostly on personal protection, and treatment [15,16]. In this paper, we modify the mathematical model proposed by Chiyaka et al [15], for the effects of control strategies on malaria transmission, to become a non integer order model.…”

“…In this paper, we modify the mathematical model proposed by Chiyaka et al [15], for the effects of control strategies on malaria transmission, to become a non integer order model. We aim to build a better approximation model to the real dynamics of malaria transmission among heterogeneous populations.…”

“…We consider the integer order model proposed by Chiyaka et al (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.…”

A Mathematical Model of Malaria Transmission with Structured Vector Population and Seasonality

“…He showed that reducing the number of mosquitoes has little effect on the epidemiology of malaria in areas of intense transmission [2]. Nowadays, several mathematical models have been developed in order to reduce the malaria death rate in the world [3,4]. In spite of the efforts made, it is still difficult to predict future malaria intensity, particularly in view of climate change.…”