The simulation of the migration cycle and dynamics of pelagic fish, with emphasis on capelin

The capelin (Mallotus villosus) is studied because it is an important pelagic forage fish for vital predator species. The cod and the herring population, two economically important species, would suffer if the capelin were to decrease in number. Hence, it is essential for the control of the economy and the ecosystems to learn the dynamics of the capelin’s distribution and migration routes. In trying to aid this, we are using a model in an attempt to simulate the migration cycle of the capelin stock, specifically, the largest stock, which is found around Iceland. This research is based on a system of ordinary differential equations (ODEs) derived by Dr. Birnir from a discrete model that originated by T. Vicsek and A. Czirok. Through the use of these ODEs we will find a few different solutions describing possible behaviors of the capelin stock. After finding the solutions and analyzing the results we will have a better idea of the capelin's migration cycle. The  objective of this ongoing research project is to make advancements in locating schools of capelin at specific times of the year.