scholarly journals STABILITY AND NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE POPULATION MODEL

2014 ◽  
Vol 4 (4) ◽  
pp. 419-435 ◽  
Author(s):  
Cheng Wang ◽  
◽  
Xianyi Li
Keyword(s):  
Population Model ◽  
Discrete Population ◽  
Discrete Population Model

scholarly journals Stability analysis of stochastic Ricker population model

2006 ◽  
Vol 2006 ◽  
pp. 1-13 ◽  
Author(s):  
Natali Hritonenko ◽  
Alexandra Rodkina ◽  
Yuri Yatsenko
Keyword(s):  
Stability Analysis ◽  
Population Model ◽  
Noise Intensity ◽  
Reproduction Rate ◽  
Stochastic Noise ◽  
Population Extinction ◽  
Discrete Population ◽  
Noise Impacts ◽  
Discrete Population Model

A stochastic generalization of the Ricker discrete population model is studied under the assumption that noise impacts the population reproduction rate. The obtained results demonstrate that the demographic-type stochastic noise increases the risk of the population extinction. In particular, the paper establishes conditions on the noise intensity under which the population will extinct even if the corresponding population with no noise survives.

Global attractivity and presistence in a discrete population model*

2000 ◽  
Vol 6 (6) ◽  
pp. 647-665 ◽  
Author(s):  
I. Györi ◽  
S.I. Trofimchuk
Keyword(s):  
Population Model ◽  
Global Attractivity ◽  
Discrete Population ◽  
Discrete Population Model

GLOBAL STABILITY OF A NONLINEAR DISCRETE POPULATION MODEL WITH TIME DELAYS

2007 ◽  
Vol 10 (03) ◽  
pp. 315-333
Author(s):  
NA FANG ◽  
XIAOXING CHEN
Keyword(s):  
Global Stability ◽  
Positive Solution ◽  
Positive Solutions ◽  
Population Model ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Volterra Type ◽  
Discrete Population ◽  
Liapunov Functionals ◽  
Discrete Population Model

The global stability of a nonlinear discrete population model of Volterra type is studied. The model incorporates time delays. By linearization of the model at positive solutions and construction of Liapunov functionals, sufficient conditions are obtained to ensure that a positive solution of the model is stable and attracts all positive solutions. An example shows the feasibility of our main results.

Snap-back repellers and chaos in a discrete population model with delayed recruitment

1983 ◽  
Vol 7 (6) ◽  
pp. 571-621 ◽  
Author(s):  
H.C. Morris ◽  
E.E. Ryan ◽  
R.K. Dodd
Keyword(s):  
Population Model ◽  
Discrete Population ◽  
Discrete Population Model

Dynamic Properties of a Class of Discrete Population Model

2019 ◽  
Vol 08 (08) ◽  
pp. 1463-1470
Author(s):  
雨青 陈
Keyword(s):  
Population Model ◽  
Dynamic Properties ◽  
Discrete Population ◽  
Discrete Population Model

scholarly journals Existence and Uniqueness of Positive and Bounded Solutions of a Discrete Population Model with Fractional Dynamics

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
J. E. Macías-Díaz
Keyword(s):  
Population Model ◽  
Fractional Derivatives ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Fractional Dynamics ◽  
Fully Discrete ◽  
The Matrix ◽  
Discrete Population ◽  
Initial Boundary Value ◽  
Discrete Population Model

We depart from the well-known one-dimensional Fisher’s equation from population dynamics and consider an extension of this model using Riesz fractional derivatives in space. Positive and bounded initial-boundary data are imposed on a closed and bounded domain, and a fully discrete form of this fractional initial-boundary-value problem is provided next using fractional centered differences. The fully discrete population model is implicit and linear, so a convenient vector representation is readily derived. Under suitable conditions, the matrix representing the implicit problem is an inverse-positive matrix. Using this fact, we establish that the discrete population model is capable of preserving the positivity and the boundedness of the discrete initial-boundary conditions. Moreover, the computational solubility of the discrete model is tackled in the closing remarks.

Sign in / Sign up

Export Citation Format

Share Document