Modeling Population Dynamics of Two Species with Volterra-Lotka Equations

Population kinetics is a study of biological and environmental process. It is very important in the real world which describes the changes in world size and age composition. Many of the most inflame dynamics in the biological world have to do with interaction between species. Mathematical sits which incorporate these interactions be drive to stimulate these dynamics. So, in the 1920s, the Italian mathematician Vito Volterra (1860-1940) and Alfred Lotka demonstrable the classical numeric model of a predator- feast situation. This model called the Voltera-Lotka predatory-prey model (Penny, 2004). The equations of Voltera-Lotka were developed in papers by Lotka in 1925 and Volterra in 1926. The victor administration discovered by both Volterra and Lotka independently consisted of daimon entities. The model pull up stakes involve both equations if we consider only 2 species. One which describes how the prey groundwork changes and second which describe s how the predator population changes. One species, the predators feeds on the various species, the prey which in figure out feeds on akin food item readily uncommitted in the environment. A standard example is a population of foxes and rabbits in woodland. The foxes (predators) sweep away rabbits (prey), while the rabbits eat certain ve targetarian in the woodland.

Other examples are sharks (predators) and food fish (prey), bass (predators) and sunfish (prey), ladybugs (predators) and aphids (prey), and beetles (predators) and scale insects (prey) (Penny, 2004). Beside the predator-prey situation, th e another(prenominal) situation that occurs! in population dynamics is competing species. These situations involve two interacting populations which population and compete with severally other for the food in their same situation. Sometimes they will prey on iodin another tho sometimes they will survive in peaceful. For example, two species of fish in a pond do not prey on each other but do compete for the available food. (C.DiPrima, 2010) In this...If you want to get a full essay, order it on our website: OrderCustomPaper.com

If you want to get a full essay, visit our page: write my paper