Periodic solutions of a predator–prey model with stage structure for predator

2004 ◽  
Vol 154 (3) ◽  
pp. 847-870 ◽  
Author(s):  
Rui Xu ◽  
M.A.J. Chaplain ◽  
F.A. Davidson
Keyword(s):  
Periodic Solutions ◽  
Stage Structure ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

scholarly journals Periodic solutions of a delayed predator-prey model with stage structure for predator

2004 ◽  
Vol 2004 (3) ◽  
pp. 255-270 ◽  
Author(s):  
Rui Xu ◽  
M. A. J. Chaplain ◽  
F. A. Davidson
Keyword(s):  
Periodic Solutions ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Stage Structure ◽  
Time Dependent ◽  
Volterra Type ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Proposed Model

A periodic time-dependent Lotka-Volterra-type predator-prey model with stage structure for the predator and time delays due to negative feedback and gestation is investigated. Sufficient conditions are derived, respectively, for the existence and global stability of positive periodic solutions to the proposed model.

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