Open AccessThe Dynamics of a Single Species in a Polluted Environment
Author(s) -
Raid Kamel Naji,
Mona Ghassan Younis,
Mohammad Naeemullah
Publication year - 2020
Publication title -
iraqi journal for computer science and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2958-0544
pISSN - 2788-7421
DOI - 10.52866/ijcsm.2020.01.02.001
Subject(s) - uniqueness , dynamics (music) , nonlinear system , equilibrium point , stability (learning theory) , mathematics , biological system , statistical physics , control theory (sociology) , ecology , physics , computer science , mathematical analysis , biology , quantum mechanics , machine learning , acoustics , control (management) , artificial intelligence
This article proposed and analysed a nonlinear mathematical model that consist of a single speciesin a polluted environment (PE). The proposed model was also discussed in terms of its uniqueness, existence, andboundedness of the solution. Also, each possible equilibrium point was analysed for local stability, followed byinvestigation of the global dynamics of the system using the Lypanov functions. The effects of the presence oftoxicants on the dynamics of a single species in the PE was numerically investigated