2006 ◽  
Vol 2006 ◽  
pp. 1-13 ◽  
Author(s):  
Natali Hritonenko ◽  
Alexandra Rodkina ◽  
Yuri Yatsenko

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.





2007 ◽  
Vol 10 (03) ◽  
pp. 315-333
Author(s):  
NA FANG ◽  
XIAOXING CHEN

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.



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






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