Abstract
This paper deals with the question of global stability of the positive locally asymptotically stable equilibrium in a class of predator-prey system of Gause-type with Holling III functional response. The Dulac's criterion is applied and liapunov functions are constructed to establish the global stability.
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Foundation item: Supported by the National Natural Science Foundation of China (19531070)
Biography: Feng Jian-wen (1964-), male, Ph. D candidate, research interests: the qualitative theory and bifurcation theory of ODE.
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Jian-wen, F., Xian-wu, Z. The global stability of predator-prey system of Gause-type with Holling III functional response. Wuhan Univ. J. Nat. Sci. 5, 271–277 (2000). https://doi.org/10.1007/BF02830133
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DOI: https://doi.org/10.1007/BF02830133