TY - JOUR
T1 - Dynamical Analysis of a Single-Species Population Model with Migrations and Harvest Between Patches
AU - Wang , Chenjia
AU - Wei , Fengying
JO - Annals of Applied Mathematics
VL - 2
SP - 183
EP - 198
PY - 2022
DA - 2022/06
SN - 34
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20572.html
KW - protection zone, migrations, harvesting, extinction.
AB - <p style="text-align: justify;">A single-species population model with migrations and harvest between
the protected patch and the unprotected patch is formulated and investigated in this paper. We study the local stability and the global stability of the
equilibria. The research points out, under some suitable conditions, the single-species population model admits a unique positive equilibrium, which is globally asymptotically stable. We also derive that the trivial solution is globally
asymptotically stable when the harvesting rate exceeds the threshold. Further,
we discuss the practical effects of the protection zones and the harvest. The
main results indicate that the protective zones indeed eliminate the extinction
of the species under some cases, and the theoretical threshold of harvest to
the practical management of the endangered species is provided as well. To
end this contribution and to check the validity of the main results, numerical
simulations are separately carried out to illustrate these results.</p>