Bifurcations and dynamics of a discrete predator–prey model of ricker type
M. Y. Hamada, Tamer El‐Azab, H. El-Metwally
Abstract
Abstract A discrete-time predator–prey model is investigated in this paper. In considered model, the population is assumed to follow the model suggested by Ricker 1954. Existence and stability of equilibria are studied. Numerical simulations reveal that, depending on the parameters, the system has complicated and rich dynamics and can exhibit complex patterns. Also the bifurcation diagrams are presented.
Topics & Concepts
MathematicsBifurcationPredationTheory of computationStability (learning theory)Applied mathematicsType (biology)Population modelPopulationBifurcation diagramDynamics (music)Discrete time and continuous timeStatistical physicsEcologyStatisticsNonlinear systemComputer scienceAlgorithmBiologyPhysicsDemographyQuantum mechanicsAcousticsSociologyMachine learningMathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic DynamicsMathematical Biology Tumor Growth