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Global attractivity of a delayed Nicholson‐type system involving nonlinear density‐dependent mortality terms
Author(s) -
Yao Luogen
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4747
Subject(s) - mathematics , lemma (botany) , nonlinear system , type (biology) , mathematical analysis , ecology , physics , quantum mechanics , biology , poaceae
This paper investigates the asymptotic behavior of a delayed Nicholson‐type system involving patch structure and nonlinear density‐dependent mortality terms. Based on the fluctuation lemma and some differential inequality techniques, delay‐dependent criteria are deduced for the global attractivity of the addressed system, which indicate that small delays have no effect on the attractivity of the system. Meanwhile, an illustrative numerical example is given to illustrate the feasibility of the theoretical results.