scholarly journals On discrete time Beverton-Holt population model with fuzzy environment

2019 ◽  
Vol 16 (3) ◽  
pp. 1471-1488 ◽  
Author(s):  
Qianhong Zhang ◽  
◽  
Fubiao Lin ◽  
Xiaoying Zhong ◽  
2012 ◽  
Vol 5 (1) ◽  
Author(s):  
Thibaud Rigot ◽  
Annamaria Conte ◽  
Maria Goffredo ◽  
Els Ducheyne ◽  
Guy Hendrickx ◽  
...  

2021 ◽  
pp. 1-18
Author(s):  
J. M. CUSHING ◽  
KATHRYN STEFANKO

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.


1983 ◽  
Vol 36 (3) ◽  
pp. 489-492
Author(s):  
H. Kushner ◽  
E. T. Angelakos

ABSTRACTA discrete-time population model is presented which is specific to the characteristics of a breeding colony. It is intended to be a rigorous yet an easily applied model. The model is based on a female-dominated demographic system with constraints on colony size. Fecundity and survival probabilities are incorporated into a net reproductive rate which is age-specific and time and population size invariant. The model is applied to solve an optimization problem for a breeding colony of African Green monkeys and to examine a set of external constraints imposed on the colony.


1973 ◽  
Vol 5 (1) ◽  
pp. 37-54 ◽  
Author(s):  
Norman Kaplan

A population model is constructed which combines the ideas of a discrete time branching process with random environments and a continuous time non-homogeneous Markov branching process. The extinction problem is considered and necessary and sufficient conditions for extinction are determined. Also discussed are limit theorems for what corresponds to the supercritical case.


2020 ◽  
Vol 41 (4) ◽  
pp. 884-900
Author(s):  
Hatice KILIÇ ◽  
Nilüfer TOPSAKAL ◽  
Figen KANGALGİL

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Irina Bashkirtseva ◽  
Lev Ryashko

We consider a discrete-time Ricker population model with the Allee effect under the random disturbances. It is shown that noise can cause various dynamic regimes, such as stable stochastic oscillations around the equilibrium, noise-induced extinction, and a stochastic trigger. For the parametric analysis of these regimes, we develop a method based on the investigation of the dispersions and arrangement of confidence domains. Using this method, we estimate threshold values of the noise generating such regimes.


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