A discrete SIS-model for a vector-transmitted disease

Abstract

The dynamics of a disease transmitted by a vector from one individual host to the other is studied using a system of four difference equations. The impact of eliminating or limiting the total number of disease-transmitting agents, treating the infected hosts and implementing prevention mechanisms on the overall effort of controlling the disease is considered. The study also looks into the effects of some additional factors such as, the transmission of the disease from vector-to-vector, then to a host via the surrounding media. Analytical approach is used to get local and global stability of equilibrium points.

Keywords:

• Vector-borne
• Disease-free Equilibrium
• Global
• Local

Keywords:

• AMS Subject Classifications:
• 35M10
• 92D25