Stević, Stevo Behavior of the positive solutions of the generalized Beddington-Holt equation. (English) Zbl 1039.39005 Panam. Math. J. 10, No. 4, 77-85 (2000). Summary: We consider the asymptotic behaviour of the positive solutions of the generalized Beddington-Holt equation \[ x_{n+k} =ax_{n+k-1} +\sum^{k-1}_{i=0} \frac {b_ix_{n+i-1}} {1+c_ix_{n+i-1} +d_ix_{n+i}},\;n=1,2,3, \dots \] near the zero equilibrium. When \(k=1\), we also consider the asymptotic behaviour of the positive solutions of the generalized Beddington-Holt equation near the positive equilibrium. Cited in 34 Documents MSC: 39A11 Stability of difference equations (MSC2000) 39A20 Multiplicative and other generalized difference equations 92D25 Population dynamics (general) Keywords:population dynamics; asymptotic behaviour; positive solutions; generalized Beddington-Holt equation; positive equilibrium PDF BibTeX XML Cite \textit{S. Stević}, Panam. Math. J. 10, No. 4, 77--85 (2000; Zbl 1039.39005) OpenURL