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Global stability of a periodic Holling‐Tanner predator‐prey model
Author(s) -
Lisena Benedetta
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4814
Subject(s) - mathematics , pointwise , stability (learning theory) , predation , exponential stability , stability theory , control theory (sociology) , mathematical analysis , ecology , nonlinear system , control (management) , management , economics , physics , quantum mechanics , machine learning , computer science , biology
This paper is concerned with the global dynamics of a Holling‐Tanner predator‐prey model with periodic coefficients. We establish sufficient conditions for the existence of a positive solution and its global asymptotic stability. The stability conditions are first given in average form and afterward as pointwise estimates. In the autonomous case, the previous criteria lead to a known result.