Abstract
A class of Beddington-DeAngelis’ type predator-prey dynamic system with prey and predator both having linear density restriction is considered. By using the qualitative methods of ODE, the existence and uniqueness of positive equilibrium and its global asymptotic stability are analyzed. The direct criterions for local stability of positive equilibrium and existence of limit cycle are also established when inference parameter of predator is small.
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Supported by the NNSF of China(10171044) and the Foundation for University Key Teachers of the Ministry of Education of China.
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Xiao, H. Positive equilibrium and its stability of the Beddington-DeAngelis’type predator-prey dynamical system. Appl. Math. Chin. Univ. 21, 429–436 (2006). https://doi.org/10.1007/s11766-006-0007-2
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DOI: https://doi.org/10.1007/s11766-006-0007-2