TY - JOUR
T1 - Stability and bifurcation of a stage-structured predator–prey model with both discrete and distributed delays
AU - Wang, Fengyan
AU - Kuang, Yang
AU - Ding, Changming
AU - Zhang, Shuwen
N1 - Publisher Copyright:
© 2012 Elsevier Ltd
PY - 2013/1/1
Y1 - 2013/1/1
N2 - This paper concerns with a new delayed predator–prey model with stage structure on prey, in which the immature prey and the mature prey are preyed by predator and the delay is the length of the immature stage. Mathematical analysis of the model equations is given with regard to invariance of non-negativity, boundedness of solutions, permanence and global stability and nature of equilibria. Our work shows that the stage structure on the prey is one of the important factors that affect the extinction of the predator, and the predation on immature prey is a cause of periodic oscillation of population and can make the behaviors of the system more complex. The predation on the immature and mature prey brings both positive and negative effects on the permanence of the predator, if ignore the predation on immature prey in the system, the stage-structure on prey brings only negative effect on the permanence of the predator.
AB - This paper concerns with a new delayed predator–prey model with stage structure on prey, in which the immature prey and the mature prey are preyed by predator and the delay is the length of the immature stage. Mathematical analysis of the model equations is given with regard to invariance of non-negativity, boundedness of solutions, permanence and global stability and nature of equilibria. Our work shows that the stage structure on the prey is one of the important factors that affect the extinction of the predator, and the predation on immature prey is a cause of periodic oscillation of population and can make the behaviors of the system more complex. The predation on the immature and mature prey brings both positive and negative effects on the permanence of the predator, if ignore the predation on immature prey in the system, the stage-structure on prey brings only negative effect on the permanence of the predator.
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U2 - 10.1016/j.chaos.2012.10.003
DO - 10.1016/j.chaos.2012.10.003
M3 - Article
AN - SCOPUS:84869866494
SN - 0960-0779
VL - 46
SP - 19
EP - 27
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
ER -