Department of Mathematics, University of Neyshabur, Neyshabur, Iran
Abstract
One may find out the application of mathematics in the areas of ecology, biology, environmental sciences etc. Mathematics is particulary used in the problem of predator-prey known as lotka-Volterra predator-prey equations. Indeed, differential equations is employed very much in many areas of other sciences. However, most of natural problems involve some unknown functions. In this paper, an environmental case containing two related populations of prey and predator species is studied. As the classic Lotka-Volterra assumptions are unrealistic, it is assumed that there is logistic behavior for both existing species. We see that two populations influence the size of each other.