In this paper we suggest an explicit finite-difference scheme for numerical simulation of the Cauchy problem with integro-differential nonlinear equation that describes oscillatory process friction and memory (hereditarity), corresponding local initial conditions. The problems approximation, stability, convergence proposed are investigated. results computer experiments implement scheme, confirm...

In this paper, a mathematical model of Visceral Leishmaniasis is considered. The incorporates three populations, the human, reservoir and vector host populations. A detailed analysis presented. This reveals that undergoes backward bifurcation when associated reproduction threshold less than unity. For case where death rate due to VL negligible, disease-free equilibrium shown be globally-asympto...