Mathematical Modeling and Simulation of Multialleic Migration-Selection Models

Population ecology is concerned with the growth and decay of specific populations. This field has a variety of applications ranging from evolution and survival at the environmental level to the spread of infectious disease at the cellular and molecular levels. Many ecological circumstances require the use of mathematical methods and reasoning in order to acquire better knowledge of the issue at hand. This study considered and analyzed multiple different mathematical models of population dynamics along with their purposes. This foundation was then applied in order to explore the migration of populations from one isolated region to another along with the relationships that those populations have. The following research paper presents the theoretical base, analysis, and specific simulations of this study along with application. The study resulted in a complete classification and analysis of an existing Ecological model with migration added along with proven coexistence with a given migration-selection model