Existence, extinction and global asymptotical stability of a stochastic predator-prey model with mutual interference

2013 ◽  
Vol 46 (1-2) ◽  
pp. 79-91 ◽  
Author(s):  
Bo Du
Keyword(s):  
Mutual Interference ◽  
Asymptotical Stability ◽  
Global Asymptotical Stability ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

Almost periodic solution of a modified Leslie–Gower predator–prey model with Holling-type II schemes and mutual interference

2014 ◽  
Vol 07 (03) ◽  
pp. 1450028 ◽  
Author(s):  
Shengbin Yu ◽  
Fengde Chen
Keyword(s):  
Periodic Solution ◽  
Sufficient Conditions ◽  
Mutual Interference ◽  
Almost Periodic Solution ◽  
Type Ii ◽  
Almost Periodic ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Globally Attractive

In this paper, we consider a modified Leslie–Gower predator–prey model with Holling-type II schemes and mutual interference. By applying the comparison theorem of the differential equation and constructing a suitable Lyapunov function, sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the system are obtained. Our results not only supplement but also improve some existing ones.

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