Oscillation of a class of partial functional population model |
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Authors: | Changyou Wang Shu Wang Linrui Li |
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Affiliation: | a College of Applied Sciences, Beijing University of Technology, Beijing 100124, PR China b College of Mathematics and Physics, Chongqing University of Posts and Telecommunications, Chongqing 400065, PR China c Key Laboratory of Network Control & Intelligent Instrument (Chongqing University of Posts and Telecommunications), Ministry of Education, Chongqing 400065, PR China d Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, PR China |
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Abstract: | This paper is concerned with the oscillation of a class of partial functional population model, and some sufficient conditions for all positive solutions of the model to oscillate about the positive equilibrium are obtained. The approach is based on the upper- and lower-solution method of the partial functional differential equations and the oscillation theory of the functional differential equation. Moreover, some numerical simulations are also given to illustrate our results. |
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Keywords: | Population model Oscillation Upper- and lower-solution Numerical simulation |
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