Technical Session - 1

Title:            A Multi-Host Transmission Dynamics of Cutaneous Leishmaniasis
Authors:       Schehrazad Selmane
Abstract:     We present a multi-host deterministic model for the transmission dynamics of cutaneous leishmaniasis (CL). The model includes three hosts, namely, an incidental host for human, a primary reservoir host for rodent, and a secondary reservoir host for sandfly. In addition to involved hosts in the dynamic transmission of the disease, we incorporated into the model the deaths due to use of insecticides and rodenticides as control measures. The conditions for the stability of the model are determined. The model has two equilibria; one disease free equilibrium and one endemic equilibrium. The basic reproduction number, computed using the next generation operator, do not explicitly include parameters relating to the dynamic transmission in the incidental host and is influenceable by the control values consisting of the use of insecticides and rodenticides. The local and global stability of equilibria are established, moreover, the threshold conditions for disease persistence are completely determined by the basic reproduction number. Sensitivity analyses of with respect to the model parameters were carried out. We find that the rodenticide death rate followed by insecticide death rate, are the highly sensitive parameters. Moreover, the use of rodenticides as control measure can be successful in controlling CL.

Keywords:  Control Measure, Deterministic Model, Leishmaniasis, Reproduction Number, Sensitivity Analysis, Stability Analysis
Pages:        008-011

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