Global Stability of a Commensal Symbiosis Model With Holling Ii Functional Response and Feedback Controls
Fengde , Chen, Yanbo Chong, Shangming Chen
Abstract
A commensal symbiosis model with Holling II functional response and feedback controls is proposed and studied in this paper. The system admits four equilibria, and three boundary equilibria are unstable, only positive equilibrium is locally asymptotically stable. By applying the comparison theorem of differential equation, we show that the unique positive equilibrium is globally attractive. Numeric simulations show the feasibility of the main result.
Topics & Concepts
Functional responseStability theoryStability (learning theory)Control theory (sociology)Boundary (topology)MathematicsApplied mathematicsCommensalismPositive feedbackComparison theoremMathematical economicsComputer scienceMathematical analysisControl (management)PhysicsBiologyEcologyEngineeringArtificial intelligenceNonlinear systemPredationPredatorMachine learningElectrical engineeringQuantum mechanicsGeneticsBacteriaMathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic DynamicsEvolutionary Game Theory and Cooperation