Qualitative Analysis in a Beddington–DeAngelis Type Predator–Prey Model with Two Time Delays

نویسندگان

چکیده

In this paper, we investigate a delayed predator–prey model with prey refuge where the predator population eats according to Beddington–DeAngelis type functional response. Firstly, consider existence of equilibrium points. By analyzing corresponding characteristic equations, local stability trivial equilibrium, predator–extinction balance, and coexistence system are discussed, Hopf bifurcations concerning both delays at established. Then, in accordance standard form method center manifold theorem, explicit formulas which determine direction bifurcation bifurcating period solutions derived. Finally, representative numerical simulations performed validate theoretical analysis.

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ژورنال

عنوان ژورنال: Symmetry

سال: 2022

ISSN: ['0865-4824', '2226-1877']

DOI: https://doi.org/10.3390/sym14122535