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Global attractivity in the discrete Lasota-Wazewska model

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Abstract

Consider the discrete Lasota-Wazewska model

$$N_{n + 1} - N_n = - \mu N_n + pe^{ - rN_{n - k} } , n = 0, 1, 2, ...$$
(*)

where μ ε (0,1), r, p ε (0,∞) and kεN. A sufficient condition for all positive solutions of (*) to be attracted to its equilibrium N* is obtained. It improves correspondent result obtained by Chen and Yu in 1999.

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Authors and Affiliations

  1. Dept. of Math., Shaoyang Teachers College, 422000, Hunan

    Li Jingwen

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  1. Li Jingwen
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Supported by the Science Foundation of Educational Committee of Human Province.

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Jingwen, L. Global attractivity in the discrete Lasota-Wazewska model. Appl. Math. Chin. Univ. 15, 391–398 (2000). https://doi.org/10.1007/s11766-000-0035-2

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  • DOI: https://doi.org/10.1007/s11766-000-0035-2

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