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Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Malaria incidence and anopheles mosquito density in irrigated and adjacent non-irrigated villages of Niono in Mali

Pages: 841 - 857, Volume 22, Issue 3, May 2017      doi:10.3934/dcdsb.2017042

 
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Moussa Doumbia - Department of Mathematics, Howard University, Washington, DC 20059, United States (email)
Abdul-Aziz Yakubu - Department of Mathematics, Howard University, Washington, DC 20059, United States (email)

Abstract: In this paper, we extend the mathematical model framework of Dembele et al. (2009), and use it to study malaria disease transmission dynamics and control in irrigated and non-irrigated villages of Niono in Mali. In case studies, we use our ``fitted" models to show that in support of the survey studies of Dolo et al., the female mosquito density in irrigated villages of Niono is much higher than that of the adjacent non-irrigated villages. Many parasitological surveys have observed higher incidence of malaria in non-irrigated villages than in adjacent irrigated areas. Our ``fitted" models support these observations. That is, there are more malaria cases in non-irrigated areas than the adjacent irrigated villages of Niono. As in Chitnis et al., we use sensitivity analysis on the basic reproduction numbers in constant and periodic environments to study the impact of the model parameters on malaria control in both irrigated and non-irrigated villages of Niono.

Keywords:  Malaria incidence, vectorial capacity, sensitivity analysis.
Mathematics Subject Classification:  Primary: 37C75, 92B05.

Received: August 2015;      Revised: September 2016;      Available Online: January 2017.

 References