Stationary distribution and extinction of a stochastic ratio-dependent predator–prey system with stage structure for the predator

2020 ◽  
Vol 545 ◽  
pp. 123310
Author(s):  
Xin Zhao ◽  
Zhijun Zeng
Keyword(s):  
Stationary Distribution ◽  
Stage Structure ◽  
Predator Prey ◽  
Prey System ◽  
Ratio Dependent

scholarly journals Periodicity in a ratio-dependent predator-prey system with stage structure for predator

2005 ◽  
Vol 2005 (2) ◽  
pp. 153-169 ◽  
Author(s):  
Fengde Chen
Keyword(s):  
Periodic Solution ◽  
Sufficient Conditions ◽  
Coincidence Degree ◽  
Stage Structure ◽  
Positive Periodic Solution ◽  
Positive Periodic Solutions ◽  
Priori Estimate ◽  
Predator Prey ◽  
Prey System ◽  
Ratio Dependent

With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of a delayed ratio-dependent predator-prey system with stage structure for predator. The approach involves some new technique of priori estimate. For the system without delay, by constructing a suitable Lyapunov function, some sufficient conditions which guarantee the existence of a unique global attractive positive periodic solution are obtained. Those results have further applications in population dynamics.

scholarly journals Ratio-dependent predator-prey system with stage structure for prey

2004 ◽  
Vol 4 (3) ◽  
pp. 747-758 ◽  
Author(s):  
Xinyu Song ◽  
◽  
Liming Cai ◽  
U. Neumann ◽  
Keyword(s):  
Stage Structure ◽  
Predator Prey ◽  
Prey System ◽  
Ratio Dependent

scholarly journals On a Periodic Predator-Prey System with Holling III Functional Response and Stage Structure for Prey

2010 ◽  
Vol 2010 ◽  
pp. 1-12
Author(s):  
Xiangzeng Kong ◽  
Zhiqin Chen ◽  
Li Xu ◽  
Wensheng Yang
Keyword(s):  
Functional Response ◽  
Prey Species ◽  
Necessary Conditions ◽  
Stage Structure ◽  
Predator Prey ◽  
Prey System ◽  
Sufficient And Necessary Conditions ◽  
Holling Iii Functional Response

We propose and study the permanence of the following periodic Holling III predator-prey system with stage structure for prey and both two predators which consume immature prey. Sufficient and necessary conditions which guarantee the predator and the prey species to be permanent are obtained.

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