scholarly journals Four positive periodic solutions of a discrete time delayed predator–prey system with nonmonotonic functional response and harvesting

2008 ◽  
Vol 56 (12) ◽  
pp. 3015-3022 ◽  
Author(s):  
Daowei Hu ◽  
Zhengqiu Zhang
Keyword(s):  
Periodic Solutions ◽  
Functional Response ◽  
Discrete Time ◽  
Positive Periodic Solutions ◽  
Predator Prey ◽  
Prey System ◽  
Nonmonotonic Functional Response

scholarly journals On a Generalized Discrete Ratio-Dependent Predator-Prey System

2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
Yong-Hong Fan ◽  
Lin-Lin Wang
Keyword(s):  
Periodic Solutions ◽  
Functional Response ◽  
Comparison Theorem ◽  
Continuous System ◽  
Discrete Systems ◽  
Positive Periodic Solutions ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey System ◽  
Ratio Dependent

Verifiable criteria are established for the permanence and existence of positive periodic solutions of a delayed discrete predator-prey model with monotonic functional response. It is shown that the conditions that ensure the permanence of this system are similar to those of its corresponding continuous system. And the investigations generalize some well-known results. In particular, a more acceptant method is given to study the bounded discrete systems rather than the comparison theorem.

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