Stability and Hopf bifurcation of a delayed density-dependent predator-prey system with Beddington-DeAngelis functional response. (English) Zbl 1352.34109
From the text: In this paper, we investigate the stability and Hopf bifurcation of a delayed density-dependent predator-prey system with Beddington-DeAngelis functional response, where not only the prey density dependence but also the predator density dependence are considered such that the studied predator-prey system conforms to the realistically biological environment. Finally, an example with numerical simulations is given to illustrate the obtained results.
MSC:
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 92D25 | Population dynamics (general) |
| 34K20 | Stability theory of functional-differential equations |
| 34K18 | Bifurcation theory of functional-differential equations |
| 34K13 | Periodic solutions to functional-differential equations |
Keywords:
stability switches; Hopf bifurcation; density dependence; Beddington-DeAngelis functional responseReferences:
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