Exploration on dynamics in a discrete predator–prey competitive model involving feedback controls
Changjin Xu, Xiaohan Cui, Peiluan Li, Jinling Yan, Lingyun Yao
Abstract
In this work, we set up a new discrete predator-prey competitive model with time-varying delays and feedback controls. By virtue of the difference inequality knowledge, a sufficient condition which guarantees the permanence of the established discrete predator-prey competitive model with time-varying delays and feedback controls is derived. Under some appropriate parameter conditions, we have proved that the periodic solution of the system without delay exists and globally attractive. To verify the correctness of the derived theoretical fruits, we give two examples and execute computer simulations. Our obtained results are novel and complement previous known results.
Topics & Concepts
CorrectnessComplement (music)Control theory (sociology)PredationPredatorMathematicsSet (abstract data type)Dynamics (music)Discrete time and continuous timeFeedback controlMathematical optimizationApplied mathematicsComputer scienceControl (management)EcologyStatisticsArtificial intelligenceAlgorithmControl engineeringEngineeringPsychologyComplementationBiochemistryGenePhenotypeProgramming languageBiologyPedagogyChemistryMathematical and Theoretical Epidemiology and Ecology ModelsMathematical Biology Tumor GrowthNonlinear Differential Equations Analysis