Local Analysis of a Competitive Problem with Toxicants

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Avrupa Bilim ve Teknoloji Dergisi
Issue:39 Special Issue
Local Analysis of a Competitive Problem with Toxicants

Local Analysis of a Competitive Problem with Toxicants

Pages : 122-126

View : 19 | Download : 16

Publication Date : 2022-07-31

Article Type : Research Paper

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.
Keywords : Stability, Toxicants, Fixed point, Competitive system

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