Long-Term Dynamic Analysis of Endangered Species with Stage-Structure and Migrations in Polluted Environments
Year: 2020
Author: Fangfang Liu, Kexin Wang, Fengying Wei
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 1 : pp. 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-AAM-18092
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 1 : pp. 48–72
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: protection zones stage-structure random perturbations migration extinction and persistence.