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 set fire to dynamics in the biological world have to do with interaction between species. Mathematical sits which incorporate these interactions argon motif to stimulate these dynamics. So, in the 1920s, the Italian mathematician Vito Volterra (1860-1940) and Alfred Lotka highly-developed 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 authorized administration discovered by both Volterra and Lotka independently consisted of twain entities. The model pull up stakes involve 2 equations if we consider only two species. One which describes how the prey intro changes and second which des cribes how the predator population changes. One species, the predators feeds on the opposite species, the prey which in figure out feeds on analogous food item readily uncommitted in the environment. A standard example is a population of foxes and rabbits in woodland. The foxes (predators) feed in rabbits (prey), while the rabbits eat certain ve narrowarian 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, the opposite 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 just 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 av! ailable food. (C.DiPrima, 2010) In this...If you want to get a full essay, order it on our website: OrderCustomPaper.com

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