MALARIA DISEASE MODEL TRANSMISSION WITH MOSQUITOES CONTROL NON PROLIFERATION

Jagaya Yaou; Abba MahamaneOumarou; Yahaya Nouri; Saley Bisso

Jagaya Yaou Department of Mathematics and Computer, Science University of Agadez, BP 199 Agadez, Niger
Abba MahamaneOumarou Department of Mathematics and Computer, Science University Abdou Moumouni of Niamey, BP 10662 Niamey, Niger
Yahaya Nouri Department of Mathematics and Computer, Science University of Agadez, BP 199 Agadez, Niger
Saley Bisso Department of Mathematics and Computer, Science University Abdou Moumouni of Niamey, BP 10662 Niamey, Niger

Article ID: 2542

Keywords: epidemiology; numerical simulation; basic reproduction number

Abstract

In [1], we have constructed a model which describes transmission of malaria disease by considering mosquitoes bed net as human population control; this model was derived from Kagunda model [6]. In this paper, we study a malaria disease model transmission using mosquitoes proliferation control. We determine the disease free equilibrium state of the model and compute the basic reproduction number. Numerical simulations are performed to show the impact of using mosquitoes proliferation control in malaria disease model transmission.

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