A Contribution to Modeling and Computer Simulation of Species Spread in Natural Environments
In this paper, analogy of heat- or mass-transfer problem and progression of species in natural environments is used. Time-dependent spatial distributions of species in a given population (such as microbes, bacteria, viruses or herewith infected individuals etc.) are described by time-dependent convection-diffusion equation, which is widely used in analysis of a number of physical, engineering or environmental problems. In the presented example, a finite-volume method is used for its numerical solution. The source term is calibrated using the available recorded data on the species concentration development in the beginning stage. The integral results of the proposed model are compared with another, integral model (SIR) based on ordinary differential equations. Calculated spatial distributions for three different modeling cases are given.