TY - JOUR
T1 - ​Long-Term Dynamic Analysis of Endangered Species with Stage-Structure and Migrations in Polluted Environments
AU - Liu , Fangfang
AU - Wang , Kexin
AU - Wei , Fengying
JO - Annals of Applied Mathematics
VL - 1
SP - 48
EP - 72
PY - 2020
DA - 2020/08
SN - 36
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18092.html
KW - protection zones, stage-structure, random perturbations, migration, extinction and persistence.
AB - <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>