Articolul precedent |
Articolul urmator |
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SM ISO690:2012 ZHANG, Hong, MAXIN, Daniel, ZHANG, Hong. Global stability results for models of commensalism. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, p. 37. ISBN 978-9975-76-247-2. |
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Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | ||||||
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Pag. 37-37 | ||||||
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We analyze the global stability of the coexisting equilibria for several models of commensalism, rst by devising a procedure to modify several Lyapunov functionals which were introduced earlier for corresponding models of mutualism, further con rming their usefulness. It is seen that commensalism promotes global stability, in connection with higher order self-limiting terms which prevent unboundedness. We then use the theory of asymptotically autonomous systems to prove global stability results for models of commensalism which are subject to Allee e ects, nding that commensalisms of appropriate strength can overcome the in uence of strong Allee e ects. |
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