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Global Attractivity and ‘Level‐Crossings’ in a Periodic Logistic Integrodifferential Equation
Author(s) -
Gopalsamy K.,
He XueZhong,
Wen Lizhi
Publication year - 1992
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19921560103
Subject(s) - mathematics , logistic function , integrable system , mathematical analysis , function (biology) , periodic function , pure mathematics , statistics , evolutionary biology , biology
Sufficient conditions are obtained for the existence of a globally attracting positive periodic solution of the logistic integrodifferential equation where a, b are continuous positive periodic functions and K is a nonnegative integrable function defined on {0, ∞). We also derive sufficient conditions for all positive solutions to have “level crossings” about the unique positive periodic solution.