Global attractivity in nonlinear delay difference equations
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- by V. Lj. Kocić and G. Ladas PDF
- Proc. Amer. Math. Soc. 115 (1992), 1083-1088 Request permission
Abstract:
We obtain a set of sufficient conditions under which all positive solutions of the nonlinear delay difference equation ${x_{n + 1}} = {x_n}f({x_{n - k}}),n = 0,1,2, \ldots$, are attracted to the positive equilibrium of the equation. Our result applies, for example, to the delay logistic model ${N_{t + 1}} = \alpha {N_t}/(1 + \beta {N_{t - k}})$ and to the delay difference equation ${x_{n + 1}} = {x_n}{e^{r(1 - {x_{n - k}})}}$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 1083-1088
- MSC: Primary 39A10; Secondary 34K20, 39A11, 39A12
- DOI: https://doi.org/10.1090/S0002-9939-1992-1100657-1
- MathSciNet review: 1100657