Permanence for a two-species Gause-type ratio-dependent predator–prey system with time delay in a two-patch environment

2013 ◽  
Vol 219 (17) ◽  
pp. 9099-9105 ◽  
Author(s):  
Xiaoquan Ding ◽  
Chunwei Wang ◽  
Peng Chen
Keyword(s):  
Time Delay ◽  
Predator Prey ◽  
Prey System ◽  
Ratio Dependent ◽  
System With Time Delay

POSITIVE PERIODIC SOLUTION FOR A GAUSE-TYPE RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH DIFFUSION AND TIME DELAY

2008 ◽  
Vol 01 (03) ◽  
pp. 339-354 ◽  
Author(s):  
XIAOQUAN DING ◽  
YUANYUAN WANG
Keyword(s):  
Periodic Solution ◽  
Time Delay ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Positive Periodic Solution ◽  
Continuation Theorem ◽  
Predator Prey ◽  
Prey System ◽  
Ratio Dependent ◽  
System With Time Delay

A two-species Gause-type ratio-dependent predator-prey system with time delay in a two-patch environment is investigated. By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of periodic solution for the system. As corollaries, some applications are listed. In particular, our results extend and improve some known results.

A stage-structured predator-prey system with time delay

2009 ◽  
Vol 33 (1-2) ◽  
pp. 267-281 ◽  
Author(s):  
Lingshu Wang ◽  
Rui Xu ◽  
Guanghui Feng
Keyword(s):  
Time Delay ◽  
Predator Prey ◽  
Prey System ◽  
System With Time Delay
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