Density and persistence analyze on the spreading models multi-regions multi-patchs

The spread of the virus is widespread in some countries and even can reach some continents. This ever happened in the pandemic H1N1 virus outbreak in 2005 which covers 3 continents, as well as the H5N1 virus that hits several regions in Indonesia. If the virus spreads to the region as a source of the spread, the outbreak will occur due to the movement of infected individuals or vector that moves freely in other regions. The focus of this paper is to analyze the characteristics of the sub-population density, as well as the persistence of individuals moving on the path that connecting two areas of its distribution through mathematical models constructed by the spread of the virus in the three regions. The analysis results showed that the movement of individual sub-population exposure to all of the tracks or individual transfer on another track are having transition due to the genetic evolution of the virus and that causes potential outbreaks in the wider regions.