Stability analysis of a competitive ecological system in a polluted environment
Unknown authors
Abstract
The interplay of species in a polluted environment is one of the most critical aspects of the ecosystem. This paper explores the dynamics of the two-species Lokta–Volterra competition model. According to the type I functional response, one species is affected by environmental pollution. Whilst the other degrades the toxin according to the type II functional response. All equilibrium points of the system are located, with their local and global stability being assessed. A numerical simulation examination is carried out to confirm the theoretical results. These results illustrate that competition and pollution can significantly change the coexistence and extinction of each species.
Topics & Concepts
EcosystemExtinction (optical mineralogy)Competition (biology)PollutionStability (learning theory)EcologyEnvironmental scienceEcological stabilityFunctional responseEnvironmental resource managementBiologyComputer sciencePredatorPredationMachine learningPaleontologyMathematical and Theoretical Epidemiology and Ecology ModelsAnimal Ecology and Behavior StudiesEcosystem dynamics and resilience