ABSTRACT

The mathematical modeling of competing populations in a habitat has become quite rigorous after the work of Lotka and Volterra. It is only during the last few decades that the environmental and ecological effects have been considered in the evolutionary processes of interacting species. These effects have been taken into account by identifying species migration which might have continuously varying properties due to environmental as well as ecological gradients in the habitat, and may depend upon densities as well as space coordinates of the species [41, 56, 170-177].