Geodesic
Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 867-890.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We consider a single-species stochastic logistic model with the population's nonlinear diffusion between two patches. We prove the system is stochastically permanent and persistent in mean, and then we obtain sufficient conditions for stationary distribution and extinction. Finally, we illustrate our conclusions through numerical simulation.
DOI : 10.21136/CMJ.2017.0350-15
Classification : 34F05, 92D25
Keywords: stochastic permanence; persistent in mean; extinction; stationary distribution 
@article{10_21136_CMJ_2017_0350_15,
     author = {Zu, Li and Jiang, Daqing and O'Regan, Donal},
     title = {Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation},
     journal = {Czechoslovak Mathematical Journal},
     pages = {867--890},
     publisher = {mathdoc},
     volume = {67},
     number = {4},
     year = {2017},
     doi = {10.21136/CMJ.2017.0350-15},
     mrnumber = {3736007},
     zbl = {06819561},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0350-15/}
}
TY  - JOUR
AU  - Zu, Li
AU  - Jiang, Daqing
AU  - O'Regan, Donal
TI  - Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation
JO  - Czechoslovak Mathematical Journal
PY  - 2017
SP  - 867
EP  - 890
VL  - 67
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0350-15/
DO  - 10.21136/CMJ.2017.0350-15
LA  - en
ID  - 10_21136_CMJ_2017_0350_15
ER  - 
%0 Journal Article
%A Zu, Li
%A Jiang, Daqing
%A O'Regan, Donal
%T Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation
%J Czechoslovak Mathematical Journal
%D 2017
%P 867-890
%V 67
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0350-15/
%R 10.21136/CMJ.2017.0350-15
%G en
%F 10_21136_CMJ_2017_0350_15
Zu, Li; Jiang, Daqing; O'Regan, Donal. Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 867-890. doi : 10.21136/CMJ.2017.0350-15. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0350-15/

Cité par Sources :