LAboratory of Mathematical Parallel Systems

Dynamic Transmission of Cutaneous Leishmaniasis

    Speaker(s): 
    Schehrazad SELMANE
    University of Science and Technology Houari Boumedienne
    Date: 
    Friday, July 3, 2015 - 12:30pm to 1:30pm
    Location: 
    LAMPS N532, Ross
    Abstract: 

    We present a deterministic model for the transmission dynamics of Cutaneous Leishmaniasis. The model includes an incidental host for human which acts only as a sink of infection, a primary reservoir host for rodent which acts as a source and a sink of infection, and a secondary reservoir host for Sand fly which have a role in transmission by acting as the liaison between incidental host and primary reservoir. The global stability of the equilibria of the proposed model shows that the threshold conditions for disease persistence are completely determined by the reproduction number; the later do not explicitly include parameters relating to the dynamic transmission in the incidental hosts and and consequently the disease becomes endemic if it persists endemically in the primary reservoir hosts. Thus the control measures should be directed towards reservoir hosts.