The Completion of Positive Contact Distribution Models in Transmission Distribution of Viruses in Two Different Locations

Abstract

This paper discusses the mathematical model of the spread of viruses between locations by examining population models of one species in two different locations. Each location has the same subpopulation but has a different number of species.This model assumes that H1N1 virus transmission can occur due to direct interaction with infected individuals and spatial movements in a location by each individual in the Susceptible and Expose subpopulations. Local and global movements are not only carried out by Susceptible and Expose but also by Infected subpopulations. This mathematical model is constructed based on the compartment model, then reduced, so that a positive solution can be obtained. If the growth rate of population (mortality rate minus the birth rate) is greater or equal to the constant of the individual movement proportion, then positive solution are fulfilled