Dynamics of a non-autonomous ratio-dependent food chain model |
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| Authors: | Zhijun Zeng |
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| Institution: | aSchool of Mathematics and Statistics, KLAS, KLVE, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin 130024, PR China |
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| Abstract: | A simple non-autonomous ratio-dependent food chain model is investigated. It is shown that the system is permanence, extinction, ultimate boundedness and globally asymptotic stability under some appropriate conditions. Moreover, by employing Mawhin’s coincidence degree theory, some easily applicable criteria are established for the global existence of positive periodic solution of this model. |
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| Keywords: | Permanence Ultimate boundedness Extinction Globally asymptotic stability Mawhin’ s coincidence degree |
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