Asymptotic behavior of a stochastic population model with Allee effect by Lévy jumps

2017 ◽  
Vol 24 ◽  
pp. 1-12 ◽  
Author(s):  
Qiumei Zhang ◽  
Daqing Jiang ◽  
Yanan Zhao ◽  
Donal O’Regan
Keyword(s):  
Asymptotic Behavior ◽  
Population Model ◽  
Allee Effect ◽  
Stochastic Population Model ◽  
Lévy Jumps

scholarly journals Dynamics of a stochastic population model with Allee effect and jumps

2022 ◽  
Author(s):  
Rong Liu ◽  
Guirong Liu
Keyword(s):  
Growth Rate ◽  
Global Existence ◽  
Attack Rate ◽  
Population Model ◽  
Noise Intensity ◽  
Allee Effect ◽  
Global Attractivity ◽  
Stability In Distribution ◽  
Stochastic Population Model ◽  
Persistent In Mean

This paper is concerned with a stochastic population model with Allee effect and jumps. First, we show the global existence of almost surely positive solution to the model. Next, exponential extinction and persistence in mean are discussed. Then, we investigated the global attractivity and stability in distribution. At last, some numerical results are given. The results show that if attack rate $a$ is in the intermediate range or very large, the population will go extinct. Under the premise that attack rate $a$ is less than growth rate $r$, if the noise intensity or jump is relatively large, the population will become extinct; on the contrary, the population will be persistent in mean. The results in this paper generalize and improve the previous related results.

scholarly journals On stochastic population model with the Allee effect

2010 ◽  
Vol 52 (1-2) ◽  
pp. 370-379 ◽  
Author(s):  
Marija Krstić ◽  
Miljana Jovanović
Keyword(s):  
Population Model ◽  
Allee Effect ◽  
Stochastic Population Model
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