Qualitative study of an Eco-Toxicant model with migration

Document Type : Research Paper


Department of mathematics, College of Science, University of Baghdad, Baghdad, Iraq


In this article, an ecology toxicant food chain system with Lotka-Volterra functional response for predator population includes prey protection zone has been suggested and studied. Toxins are excreted by all organisms as a form of defence. The prey follows the logistic growth law. The equilibrium points have been established. The analytic approach has been used to investigate the local stability for each acceptable equilibrium point. The global dynamics of this model was studied using the Lyapunov function. Lastly, numerical simulations and graphical illustrations were used to back up our analytic results.