Global positive periodic solutions of age-dependent competing systems |
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| Authors: | Ze-rong He Li-li Liu Zhi-xue Luo |
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| Institution: | HE Ze-rong 1 LIU Li-li 1 LUO Zhi-xue 21 Institute of Operational Research and Cybernetics,Hangzhou Dianzi University,Hangzhou 310018,China. 2 Department of Mathematics,Lanzhou Jiaotong University,Lanzhou 730070,China |
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| Abstract: | This paper is to investigate positive periodic solutions of a biological system composed of two competing species. The existence
and uniqueness of nonnegative solutions to the model for a set of given vital rates and initial distribution are treated and
the contractive property of the solutions explored. Based on these results, some simple conditions for the global existence
of positive periodic orbits are established by means of Horn’s asymptotic fixed point theorem. |
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| Keywords: | Population dynamics age-structure Poincare mapping fixed point |
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