@Article{AAM-36-1,
author = {Liu, Fangfang and Wang, Kexin and Wei, Fengying},
title = {​Long-Term Dynamic Analysis of Endangered Species with Stage-Structure and Migrations in Polluted Environments},
journal = {Annals of Applied Mathematics},
year = {2020},
volume = {36},
number = {1},
pages = {48--72},
abstract = {<p style="text-align: justify;">We propose a stochastic stage-structured single-species model with migrations and hunting within a polluted environment, where the species is separated
into two groups: the immature and the mature, which migrates from one patch
to another with different migration rates. By constructing a Lyapunov function, together with stochastic analysis approach, the stochastic single-species
model admits a unique global positive solution. We then utilize the comparison theorem of stochastic differential equations to investigate the extinction
and persistence of solution to stochastic single-species model. The main results
indicate that the species densities all depend on the intensities of random perturbations within both patches. As a consequence, we further provide several
strategies for protecting endangered species within protected and unprotected
patches.<br/></p>},
issn = {},
doi = {https://doi.org/2020-AAM-18092},
url = {https://global-sci.com/article/72655/long-term-dynamic-analysis-of-endangered-species-with-stage-structure-and-migrations-in-polluted-environments}
}