Allee Effect and Stability in a Discrete-Time Host-Parasitoid Model

2015 ◽  
Vol 7 (1) ◽  
pp. 94-99 ◽  
Keyword(s):  
Discrete Time ◽  
Allee Effect

Dynamics and bifurcations of a discrete-time prey-predator model with Allee effect on the prey population

2021 ◽  
Vol 48 ◽  
pp. 100962
Author(s):  
Z. Eskandari ◽  
J. Alidousti ◽  
Z. Avazzadeh ◽  
J.A. Tenreiro Machado
Keyword(s):  
Discrete Time ◽  
Allee Effect ◽  
Prey Population ◽  
Predator 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.

scholarly journals Stability, bifurcation, and chaos control of a novel discrete-time model involving Allee effect and cannibalism

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Muhammad Sajjad Shabbir ◽  
Qamar Din ◽  
Khalil Ahmad ◽  
Asifa Tassaddiq ◽  
Atif Hassan Soori ◽  
...  
Keyword(s):  
Discrete Time ◽  
Chaos Control ◽  
Allee Effect ◽  
Bifurcation And Chaos ◽  
Time Model ◽  
Discrete Time Model

On the mechanistic underpinning of discrete-time population models with Allee effect

2007 ◽  
Vol 72 (1) ◽  
pp. 41-51 ◽  
Author(s):  
Hanna T.M. Eskola ◽  
Kalle Parvinen
Keyword(s):  
Discrete Time ◽  
Allee Effect ◽  
Population Models

Interplay between strong Allee effect, harvesting and hydra effect of a single population discrete-time system

2015 ◽  
Vol 09 (01) ◽  
pp. 1650004 ◽  
Author(s):  
Debaldev Jana ◽  
Elsayed M. Elsayed
Keyword(s):  
Discrete Time ◽  
Allee Effect ◽  
Discrete Time System ◽  
Single Population ◽  
Dynamical Behaviors ◽  
System Generation ◽  
Stock Recruitment ◽  
Hydra Effect ◽  
Strong Allee Effect ◽  
Recruitment Model

The dynamics of a single population with non-overlapping generations can be described deterministically by a scalar difference equation in this study. A discrete-time Beverton–Holt stock recruitment model with Allee effect, harvesting and hydra effect is proposed and studied. Model with strong Allee effect results from incorporating mate limitation in the Beverton–Holt model. We show that these simple models exhibit some interesting (and sometimes unexpected) phenomena such as the hydra effect, sudden collapses and essential extinction. Along with this, harvesting is a socio-economic issue to continue any system generation after generation. Different dynamical behaviors for these situations have been illustrated numerically also. The biological implications of our analytical and numerical findings are discussed critically.

Analysis of a discrete-time predator–prey system with Allee effect

2011 ◽  
Vol 8 (1) ◽  
pp. 81-85 ◽  
Author(s):  
Wan-Xiong Wang ◽  
Yan-Bo Zhang ◽  
Chang-zhong Liu
Keyword(s):  
Discrete Time ◽  
Allee Effect ◽  
Predator Prey ◽  
Prey System

scholarly journals Analysis of the Noise-Induced Regimes in Ricker Population Model with Allee Effect via Confidence Domains Technique

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Irina Bashkirtseva ◽  
Lev Ryashko
Keyword(s):  
Discrete Time ◽  
Population Model ◽  
Parametric Analysis ◽  
Allee Effect ◽  
Threshold Values ◽  
Random Disturbances ◽  
Stochastic Oscillations

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.

Sign in / Sign up

Export Citation Format

Share Document