scholarly journals A note on asymptotic behaviors of stochastic population model with Allee effect

2011 ◽  
Vol 35 (9) ◽  
pp. 4611-4619 ◽  
Author(s):  
Qingshan Yang ◽  
Daqing Jiang
Keyword(s):  
Population Model ◽  
Allee Effect ◽  
Asymptotic Behaviors ◽  
Stochastic Population Model

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

A DARWINIAN DYNAMIC MODEL FOR THE EVOLUTION OF POST-REPRODUCTION SURVIVAL

2021 ◽  
pp. 1-18
Author(s):  
J. M. CUSHING ◽  
KATHRYN STEFANKO
Keyword(s):  
Natural Selection ◽  
Dynamic Model ◽  
Discrete Time ◽  
Population Model ◽  
Bifurcation Theory ◽  
Allee Effect ◽  
Phenotypic Trait ◽  
Trade Off ◽  
The Stability ◽  
Low Dimensional

We derive and study a Darwinian dynamic model based on a low-dimensional discrete- time population model focused on two features: density-dependent fertility and a trade-off between inherent (density free) fertility and post-reproduction survival. Both features are assumed to be dependent on a phenotypic trait subject to natural selection. The model tracks the dynamics of the population coupled with that of the population mean trait. We study the stability properties of equilibria by means of bifurcation theory. Whether post-reproduction survival at equilibrium is low or high is shown, in this model, to depend significantly on the nature of the trait dependence of the density effects. An Allee effect can also play a significant role.

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