Impulsive application to design effective therapies against Cutaneous Leishmaniasis under mathematical perceptive

Abstract

Leishmaniasis is one type of infectious diseases that is generated by different parasites of the Leishmania. The disease spreads in mammals (both human and animal hosts) through the bites of various infected sand fly. species. Leishmania parasites have two important developmental stages in their life cycle such as Promastigote (the proliferative form found in the lumen of the female sand fly) and another one is Amastigote (the proliferative form found inside several types of mammalian host cells). Here we have considered a mathematical model consisting susceptible (uninfected) macrophage cell, early stage infected macrophage cell (Promastigote), late stage infected macrophage cell (Amastigote) and parasite population. We have applied drugs like Sodium Stibogluconate and Meglumine Antimoniate for reducing parasite population in impulsive way under mathematical framework. Our analytical and numerical results justify that controlling parasite population by applying drugs in impulsive way gives realistic outcome. Also we have established the efficiency of the drug dose that contributes a greater effect on the system moving towards the healthy situation.

https://doi.org/10.28919/cmbn/3037