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Bifurcation analysis of a predator-prey system involving group defence. (English) Zbl 0657.92015
The carrying capacity k of the environment for the prey-predator interaction model with group defence of the form \[ \dot x=x g(x,k)-y p(x),\quad \dot y=y(-s+q(x)) \] is considered as a parameter to discuss the structure of the solutions. A good analysis of the model is exhibited and among others Hopf bifurcation, convergence and extinction of the predator coming from too much enrichment of the environment are investigated.
Reviewer: G.Karakostas

MSC:
92D25 Population dynamics (general)
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
92D40 Ecology
37-XX Dynamical systems and ergodic theory
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
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