@Article{AAM-36-48, author = {Liu , FangfangWang , 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 = {
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.