Effects of a degeneracy in a diffusive predator–prey model with Holling II functional response

2018 ◽  
Vol 43 ◽  
pp. 78-95 ◽  
Author(s):  
Shanbing Li ◽  
Jianhua Wu ◽  
Yaying Dong
Keyword(s):  
Functional Response ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Holling Ii Functional Response

scholarly journals Mathematical Analysis for a Discrete Predator-Prey Model with Time Delay and Holling II Functional Response

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Dehong Ding ◽  
Kui Fang ◽  
Yang Zhao
Keyword(s):  
Functional Response ◽  
Sufficient Conditions ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Positive Periodic Solutions ◽  
Mawhin’S Continuation Theorem ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Holling Ii Functional Response

This paper is concerned with a discrete predator-prey model with Holling II functional response and delays. Applying Gaines and Mawhin’s continuation theorem of coincidence degree theory and the method of Lyapunov function, we obtain some sufficient conditions for the existence global asymptotic stability of positive periodic solutions of the model.

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