TY - JOUR
T1 - Dynamics of species in a model with two predators and one prey
AU - Ton, Ta Viet
AU - Hieu, Nguyen Trong
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011/10
Y1 - 2011/10
N2 - In this paper, we study a predatorprey model which has one prey and two predators with BeddingtonDeAngelis functional responses. Firstly, we establish a set of sufficient conditions for the permanence and extinction of species. Secondly, the periodicity of positive solutions is studied. Thirdly, by using Liapunov functions and the continuation theorem in coincidence degree theory, we show the global asymptotic stability of such solutions. Finally, we give some numerical examples to illustrate the behavior of the model.
AB - In this paper, we study a predatorprey model which has one prey and two predators with BeddingtonDeAngelis functional responses. Firstly, we establish a set of sufficient conditions for the permanence and extinction of species. Secondly, the periodicity of positive solutions is studied. Thirdly, by using Liapunov functions and the continuation theorem in coincidence degree theory, we show the global asymptotic stability of such solutions. Finally, we give some numerical examples to illustrate the behavior of the model.
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U2 - 10.1016/j.na.2011.04.061
DO - 10.1016/j.na.2011.04.061
M3 - Article
AN - SCOPUS:79957889029
VL - 74
SP - 4868
EP - 4881
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 14
ER -