Affiliation:
1. BURSA TEKNİK ÜNİVERSİTESİ, MÜHENDİSLİK VE DOĞA BİLİMLERİ FAKÜLTESİ
Abstract
This study aims to explain the dynamics of a competitive problem affected by toxicants. The effect of toxicants on ecological systems is an interesting topic for mathematical modelling. Discretization of the nonlinear problem is inevitable for right approximation of its solutions due to the difficulty of finding analytical solutions. In this work, a continuous time two species competitive problem was transformed into a discrete time problem. Because, it is very important to create a discrete model that will protect the properties of the original continuous model and the dynamics will be independent of step size. Also, in this study, the dynamic behaviour of a competitive system under the influence of toxicants were investigated. Lastly, the stability properties of each fixed point of the corresponding discrete problem have been examined using some theoretical results.
Publisher
European Journal of Science and Technology
Subject
General Earth and Planetary Sciences,General Environmental Science