Volume 4 Issue 2
Authors: Priti Kumar Roy; Dibyendu Biswas; Fahad Al Basir
Abstract: Cutaneous leishmaniasis (CL) is a vector borne disease caused by a single-cell parasite and transmitted by female phlebotomus papatasi (caused by Leishmania major) sandfly bites. Sandflies of the species Phlebotomus sergenti (caused by Leishmania tropica) are liable for anthroponotic transmission. CL is characterized by skin lesions; the disease starts as an erythematous papule at the site of the sandfly bite on exposed parts of the body. People can carry some species of Leishmania for long periods, and the incubation period for CL can be a few weeks to several months, depending on the host’s immunological status. In this research article, a mathematical model of CL was considered with the effects of time delay in the disease transmission.The relationship between the bite rate and the probability of disease transmission to the host by the sandfly was searched for in the delayed system through mathematical modeling. The study revealed that delay in disease transmission played a significant role in such a way that the initial stage of infection was merely measureable as a small oscillation, but as time went on, the system progressed to endemic conditions.
Keywords: Vector-borne Disease; Cutaneous Leishmaniasis; Transmission Dynamics; Delay Dynamics