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Periodicity in a “Food-limited” Population Model with Toxicants and Time Delays
Authors:Meng Fan  Ke Wang
Institution:(1) Department of Mathematics, Key Laboratory for Vegetation Ecology of the Ministry of Education of China, Northeast Normal University, Changchun 130024, China (E-mail: mfan@nenu.edu.cn), CN
Abstract:Abstract   With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, we study the global existence of positive periodic solutions of a “food-limited population model with toxicants and time delays. Some new results are obtained. Supported by the National Natural Sciences Foundation of China (No.10171010), the Key Project on Sciences and Technology of the Ministry of Education of China (No. Key 01061) and the Natural Sciences Foundation for Young Scholar of Northeast Normal University.
Keywords:Periodic solutions  toxicants  time delays  coincidence degree
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